#Eidometry

1 messages · Page 1 of 1 (latest)

fleet knot
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I will replace this file soon with a better framed one

dusky path
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Did you make this in MS Word?

fleet knot
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google docs with latex

fleet knot
dusky path
fleet knot
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oh you mean like E_i?

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yeah.. ive heard a lot of concerns over this being sloppy but im working on it

dusky path
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"Better" is defined by everyone individually, depending on how it tends to their needs. Personally, I'd use an actual latex editor, not google docs

dusky path
fleet knot
dusky path
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What I see as an issue too is switching between typefaces because your inline and display are different ones

dusky path
fleet knot
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Rn I'm polishing the rules and i guess clarity on the foundations

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if constants are outputs not inputs, then yk... i have to build a deeper scaffolding

fleet knot
fleet knot
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So I don't know what this is because it's not physics, or math. It borders on both, but I was looking into how does anything define as "measurable"

Given a quanta, we should find the extent of what is correct (predictably measured) under this quanta. Once the quanta doesn't match the observations we make, we should not consider the quanta itself valid for any higher layer predictions. You found your arithmetic limit of where your assumptions hold and don't contradict.

So instead of assuming an infinite set of assumptions and seeing which ones work, we should find out the extent of what this count can measure. We say "On this quanta, what are the valid measurable solutions and where does its predictions stop?"

We shouldn't continue counting when the count contradicts itself on a fundamental level. If there's any observation that can't be described based on the count we define (quanta), then that quanta will never be able to measure or count that observation no matter the corrections.

This suggests that every system of measurement must be locally valid first, tested for scope, and invalidated at breakdown. So each count is tested to see if it survives observations. And only those counts that can match observations are allowed to make predictions. And if this count can't match the observation then we should abandon all further effort and define that as our boundary of what is a valid quanta.

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You don't accept a unit of measurement just because it maps to a numbers system. You accept it only if:

  • it can define valid measurements locally
  • its predictions match the survival of distinguishable structure.
  • it fails when it extends beyond its domain.

Failure occurs when the base system lacks the structure to represent the identity. You don't accept a unit of measurement just because it maps to a numbers system.
you accept it only if: it can define valid measurements locally and its predictions match the survival of distinguishable structure. And it fails when it extends beyond its domain.
failure occurs when the base system lacks the structure to represent the identity. not because the identity doesnt exist, but because measurements can fail.

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For example:

Displaying 1/3 in base-10 as "0.333..." introduces an illusory paradox (incompleteness), even though it has a finite identity in base-3.
Attempting to measure irrational structure with finite, commensurate quanta in the wrong base causes representational failure, not ontological failure. This is the analogy on the filter you must put on your quanta and systems of measurements. What can it define? What can't it define?

fleet knot
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In the case of arithmetic groups, looking at the real points of a certain linear algebraic group over the rationals can lose a lot of info about the underlying arithmetic subgroups. So you lose out on a lot of number theory if you consider everything as living in R and forget about the structure of the groups you had over Q.

Suppose we had 2 arithmetic groups in 2 different Q groups that had completely different arithmetic subgroups (one of them was not cocompact in the R points and the other was) but taking the R points of each gave the same exact group. The reals allow for too much wiggle room when trying to study arithmetic lattices in Lie groups.

Let's sum that up:

  • R erased a difference that Q preserved, R failed the recursion filter
    Measurement in R is invalid for Q as a fundamental quanta. Thus: one must reconstruct a morphism S that passes this filter. S cannot violate R or Q if it is based on the same quanta.
    However:
  • If S violates R and Q based on the same quanta, then this is where you find your limits of quanta.

All further efforts should be abandoned and higher layers treated as invalid answers. If you're modeling a number field, an arithmetic group, a population system, or even a threshold of consciousness, then the extension of that system into another measurement field must not collapse distinction.

This becomes a general rule.

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Every transformation must pass this recursive filter or forfeit its claim to be predictive

fleet knot
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Most of math and physics starts by assuming structure exists (like points in space, smooth curves, or coordinate systems), but this approach skips the question: “Why do these structures hold up at all?” They are typically taken as primitives without first verifying whether such structures can preserve their defining relations under transformation without collapse of discernibility.
Without verifying structural validity, even the most well-behaved mathematical objects can collapse when tested against layered systems of quanta. Each layer is derived from the previous one by reapplying its output to test whether the structure remains consistent and distinguishable under deeper analysis. This introduces real consequences (e.g. modeling failure, contradiction) while staying abstract and formal. This framework begins with no assumed structures. Instead, it filters all candidates by whether they survive structural validity.
That is: structural validity is determined by the analogous “mutability” of the structure; by its ability to retain its defining relations under transformation without external correction.

last ferry
fleet knot
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Contribute or don't. If not. Please leave the discussion post

last ferry
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If you think 2 + 2 = 17, and I tell you that's wrong, am I failing to contribute?

fleet knot
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You just don't like me. You're snarky and you don't take me seriously

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You do not contribute

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you offer strawmen arguments

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None of it has helped me

last ferry
fleet knot
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False. I listened. Your arguments were over semantics. Still is.

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I acknowledge that I'm not using the right vocabulary

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but you are not offering alternatives

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So again. Either contribute or I'll consider bias.

last ferry
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Do you see the catch-22?

fleet knot
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its on osf already so

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but i am trying to refine my language

last ferry
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I've told you several times that I can only understand a definition of a word I don't know if it doesn't contain any other words I don't know, and you've consistently failed to define your terms within those conditions.

fleet knot
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Look at the application part. It uses real math and its all based on glossary terms.

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It deals with the first three axioms and shows how a feedback loop is formed, which i call recursion

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or not axioms

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but first three equations. E, eta, and T

last ferry
fleet knot
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fair

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Hope that's a better alternative

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If not, then stop contributing if you won't look at the math. You don't understand it anyway.

last ferry
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Why can't you just use a regular-ass text file?

fleet knot
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like a .txt format?

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sure

last ferry
fleet knot
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either way

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im working on it. im only gonna improve.

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im just really fucking curious and you wont stop me

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ill learn

last ferry
fleet knot
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proving myself wrong and correcting it.

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i am comfortable with being wrong because i want to be corrected

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if your argument is "i dont understand you"

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that's not enough

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show me why you dont understand me

last ferry
fleet knot
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Then maybe first principles and category theory is not for you.

last ferry
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What the fuck are "first principles"? I know, in theory, what "first principles of [something]" means.

fleet knot
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It is not starting from conventional math objects like sets or points or topologies. This requires actual rethinking what it even means for something to be 'defined'. That's first principles.

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Im saying foundational recursion filters to test if something holds up without assumptions

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What makes a structure even structurally valid before we do math on it?

last ferry
fleet knot
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You know mutability?

last ferry
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Like, an object is "defined" if and only if there exists a definition of that object.

fleet knot
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No. Do you understand the concept of mutability? Variable state changes?

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Well, how much can a structure change without losing its structure?

last ferry
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What is a "structure"?

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What does it mean for a "structure" to "lose its structure"?

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You're using the same word to describe an object and a property of that object.

fleet knot
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I'm not saying every undefined term is valid. I'm saying every presumed structure in math that uses measurements. So before I define what a thing is, I test to see if it can even survive contrast loss.

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A structure is whatever that can survive slightly being changed and still recognize itself because the quanta itself is arbitrary to begin with in the first place.

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If you change it a little bit and it collapses without any bootstraps, then it never had structure to begin with

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The quanta we choose are arbitrary until structure survives. Measurement only becomes valid when the structure can sustain contrast. Before that, it's just a name.

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So I dont mean structure as a predefined mathematical object. I mean any identity you assign discrete contrast and treat as stable without validating its own persistence.

last ferry
fleet knot
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are those jumps valid?

last ferry
last ferry
fleet knot
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no if its bootstrapped

last ferry
fleet knot
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It must be self-restoring. If you deform it, it can rebuild itself without outside help. That's what I mean by bootstrapped. It's contrast is still a contrast even after a lil deformation to the quanta.

Any identity that you try to count or measure, before showing it can show deformation without falling apart. You're treating it as stable but haven't proven its quanta.

Jumps are the number of logical steps enough to preserve identity. (Can you say 1.5? You can only say 1.5 if there is a discrete identity between 1 and 2. These are identity deformations across a field. I define this as recursion. DeltaE across feedback.. Are those logical steps allowed given the identity?

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A structure is anything that can be slightly change and reconstruct itself without help. Because the quanta, the basic contrast unit, is arbitrary until proven persistent and bootstrapped.

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If your identity falls apart from a small deformation then it never had real structure

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You dont get to measure a thing until it survives a little deformation.

last ferry
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You keep using words I don't know.

fleet knot
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Let's take this in one step at a time:

Let's assume E is a scalar field on the open interval (0, 1) and discerns "contrast" between the quanta and literal ontological collapse.

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E=0 means there's no quanta. E=1 means there's no quanta.

last ferry
last ferry
fleet knot
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Exactly. So quanta cannot be 0 or 1.

last ferry
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You can't say "E is on (0, 1)" and then describe conditions when E is 0 or 1.

fleet knot
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yes if you look at my axiomatics E=, eta=, T=

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not axiomatics

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bad habit

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but look

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oh i forgot to include the base E= in that new draft lol

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I defined where its allowed but hold on

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my earlier pdf had it

last ferry
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No, stop.

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The problem is in what you said here.

fleet knot
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E0 = P[ sum over i=1 to N of abs((E,,,i) - (E,,,(i-1))) minus (eta_0 divided by (T_0 times log(1/E_0))) times Lambda(E_0) ]
Where: P(z) = 1 / (1 + exp(-z)) (soft constraint projection)
and Lambda(E_0) = minimum steps L such that E_0 can be regenerated from L recursive transitions
eta_0 = collapse resistance at E_0
T_0 = directional feedback ratio at E_0

last ferry
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It is nonsensical to say "E is on (0, 1)" and then to talk about what happens when E = 0.

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Why do you hear me say "you can't explain to me words I don't understand using words I don't understand" and just keep using words I don't understand?

fleet knot
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Do you know ontology?

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They are ontological points

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they are forbidden

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boundaries

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defines why (0,1) is the only viable region

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They're not values in the system

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theyre structural death

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E is not a number. It is a contrast condition.

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it excludes 0 and 1 numerically

last ferry
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Why do you hear me say "you can't explain to me words I don't understand using words I don't understand" and just keep using words I don't understand?

fleet knot
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Then you don't know ontology?

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Ok. I can't help you

last ferry
fleet knot
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That's not the rebuttal you think it is.

clear mauve
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So if I've understood properly @fleet knot , you want to invent some kind of filter that checks if something can be...defined?

fleet knot
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Yes, a filter for definability. So we can pit QFT and GR and Newtonian to see where our units stop making sense in these contexts. Where do the assumptions cause the break down and to what extent can we measure a structure? To what extent can they measure the thing theyre describing?

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how long can the identity keep its contrast before the math eats it up?

clear mauve
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How do you know you can define this filter?

maiden brook
fleet knot
# clear mauve How do you know you can define this filter?

If you cant ask that then you assume all numbers are valid. Im applying recursion to definition itself. If it can't boot itself under pressure, it's not physically admissible no matter how pretty the math looks. This is akin to having a mutability principle but for math layers

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dont assume blind faith in your axioms

maiden brook
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Bro

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this is not real

unreal shard
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i promise you that axioms mathematicians use are extremely well thought out

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(mostly)

fleet knot
unreal shard
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and even then they are still argued about a fair bit

fleet knot
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yes. axioms should have filters

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of physical admissibility

unreal shard
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well mathematics doesnt need to rely on physics?

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they are mostly separate things, apart from some areas which overlap

fleet knot
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agreed. if not physics and its pure math, then im describing a collapse trigger system where say X reaches a threshold, and triggers Y to stabilize the complex systemic behaviors. This can model ecosystems far more efficiently if you reparametrize this framework.

and yeah, this isnt full math because its the ontology of math. and this isnt classic physics because im not assuming a manifold.

unreal shard
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so you are doing work in dynamical systems?

last ferry
fleet knot
# unreal shard so you are doing work in dynamical systems?

Yes, well sort of. It is a meta-dynamical system, but not over state vectors or smooth differential flows. I'm not saying math = physics, or all axioms are wrong in any context.. but, any structure that is used to describe reality itself must prove it can survive deformations without external assumptions.

How do we prove that? Instead of tracking how systems evolve over time, I’m tracking how identities survive across recursive perturbation under dynamical systems.

It's closer to a viability theory of structure, where the survival of structure itself replaces temporal evolution. It models when and how an identity breaks, not when a state changes.

fleet knot
# last ferry What is an "invalid number"? Also, you missed the *whole* point.

An invalid number is one that fails to preserve identity structure under feedback. I'm not saying it doesn't exist in a number system. I'm saying its uese fails to define a measurable structure in a given context if it cannot survive reapplication without contradiction.

Example. 1/3 is representable in base-3 but not base-10. Base-10 fails to express identity fully, so it's invalid for that system under my filter. That's not a math error, it's a structural misfit.

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So to describe reality, your math has to be valid when subjected to this filter; whether it breaks under contrast.

unreal shard
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so your issue is less with mathematical axioms and more with postulates of theoretical physics

fleet knot
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I'm not just saying physics assumptions are flawed. The foundational mathematical structures themselves should have a filter of inadmissibility. Specifically. 1/3 isn't wrong because physics/math gets it wrong. It's invalid in base 10 because that base cannot preserve its identity across recursive feedback (0.333..) cannot recompose the exact original without loss or overfit. So it's not wrong, it just doesn't structurally fit. This is an epistemic deformation, not a logical contradiction. Where does this deformation become too big for you to consider it a valid count? Any measurement, number, or quantity must prove its recursive viability. If it fails that test, it’s not useful, not meaningful, and not real in your framework: regardless of whether it’s logically sound in a traditional system.

unreal shard
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oh my god are you one of those neo pythagoreans like that saph person from a while back

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that discussion post lasted for over 2k messages

fleet knot
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Uh. No. I'm independent

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I dont have a math background

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I'm just synthesizing and im really curious

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and i really like learning

unreal shard
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it sounds eerily similar

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the discussion back then was someone saying irrational numbers are not numbers because they are 'not measurable'

fleet knot
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they ARE measurable under the right structural lens

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irrationals are real

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not real numbers

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but like

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physically admissable

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sqrt(2) should be treated as a viable number even if its irrational because it has an identity and hones in a number via infinite processes because its stable.

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its not random

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its structurally viable and definitive. we're trying to locally define a quanta on a field with no real actual quanta.

unreal shard
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i wouldnt really call any irrational 'random'

fleet knot
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right and this filter would test for that

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if its not 'random' then its valid

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even if its irrational

unreal shard
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give an example of a number you would consider random

fleet knot
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to try and claim sqrt(2) in a base10 decimal number for example will create a structural drift of definition. It's not random until it structurally 'collapses'

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then its invald, arbitrary, random. stops being predictive

unreal shard
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i mean if we use a finite number of decimal points then it is just an approximation, but we can still assume it exists in decimal form with infinite decimal points

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i dont really see why not

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overall your structure seems to just limit what we can do with numbers and doesnt really seem to be adding anything to maths/physics from my perspective

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what do we gain from limiting ourselves in this way

fleet knot
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A number is only valid in a system if it preserves the identity deformation in that system. Measurement itself is only trustworthy when structure resists collapse under self-application. Calssical representation (like infinite decimals) can hide structural drift and lead to false prediction confidence. It's already enough that competing physics theories either create wildly different assumptions based on the same SI, or keep patching it with more convoluted math like string theory. It's a new kind of error detection. This should matter to physics and especially quantum modeling, approximation theory, and literal numerical instability.

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What do we gain from rigor?

unreal shard
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i promise you string theory has enough rigor

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and i have never seen using numbers in the way we currently do lead to 'false prediction confidence'

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most of physics is supposed to be approximations of whats really happening anyways

fleet knot
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Well, I'm not satisfied with that.

unreal shard
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no one is claiming something like f=ma is EXACTLY what happens and your numbers are going to work out perfectly, but in the classical sense it gets close enough

fleet knot
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I'm not limiting math. I'm auditing math.

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Im questioning literally the predictive admissability

unreal shard
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i dont see how you 'auditing' is even slightly helpful

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you make these wild claims about things like string theory but i dont really believe you know anything about string theory

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you have brought up way too many different topics for you to know enough about each of them to say anything meaningful

fleet knot
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Well, usefulness and helpful predictions breaks down when approximation hides structural failure. If it collapses under reapplication, then your model is invalid beyond its domain.

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That doesn't just apply to physics

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it can apply to physics

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but literally any framework

unreal shard
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most models are defined on a domain, why do you expect them to work beyond that

fleet knot
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how much can it actually predict

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This is a way to detect when your math breaks down before your predictions do.

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Tell me that's not useful

unreal shard
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what do you mean by 'your math breaks down'

fleet knot
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structural drift

unreal shard
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and.. what does that mean

unreal shard
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so when our numbers are not exact, which they never are in the real world

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any measurement we take in real life is an approximation

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you seem to want to do physics without any uncertainty

fleet knot
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We should have predictive confidence boundaries

unreal shard
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and what is a predictive confidence boundary

fleet knot
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I'm protecting against literal misapplication?

unreal shard
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misapplication how

fleet knot
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Physics needs a way to know when its approximations have failed to preserve the identity they claim to approximate. Otherwise, it's not an approximation, it's a misrepresentation.

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misrepresentation = misapplication

unreal shard
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what is an identity in the context of the physics you are talking about

fleet knot
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The quanta

unreal shard
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an identity should normally be preserving the other numbers, not the other way around

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oh

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well we sort of do know how much uncertainty we have in quantum theory

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im not super into experimental work, but in every single experiment all the possible uncertainties are taken into account in every measurement

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and theories are made to predict according to all the data we have

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and im telling you this now, you cannot predict if a theory is going to hold up outside of the data we have

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i know you might want to, but it is not possible

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a classical physicist could not have known whether their equations would hold up with relativity or not

fleet knot
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Math is granted permission by structure, not assumed to be valid by default. Uncertainty in quantum theory is built into outputs. What I'm talking about is uncertainty in the validity of the structure doing the measurement. It's not how uncertain the answer is because it's whether the question is even allowed to be asked with that math.

unreal shard
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do you mean a physical structure doing the measurement, like lab equipment?

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or some mathematical structure of measurement

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you really need to write this stuff in a less convoluted way

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and again, i dont really believe you know a lot about quantum theory, because you have made claims about so many different fields i dont believe you can know all of them in detail

fleet knot
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I agree. But I have improved my definitions. And I do mean mathematical structure of measurement.

unreal shard
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that might seem like a rude thing for me to say, but genuinely its not possible for you to know in detail all of the topics you have brought up

fleet knot
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I do not know all of them in detail but this is the first time I'm cracking at math.

unreal shard
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so, would you like me to recommend a book for quantum theory?

fleet knot
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I'm way better as a systems thinker.

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And yes

unreal shard
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if you are more on the basics, townsend is good

fleet knot
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I'm down to learn more

unreal shard
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more advanced id go with shankar

fleet knot
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Nah. I've read a few quantum books already. Hawking too. Havent read shanker

unreal shard
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books or textbooks

fleet knot
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books

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i did take edx courses

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online

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on category theory

unreal shard
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im not sure how good edx courses are cos ive never done any

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ive never done category theory either

fleet knot
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it's real cool stuff.

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if you audit their courses you can get access to a lot of free info

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you dont get grades or feedback but

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that means you get to learn on your terms kinda.

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you have the resources

unreal shard
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there are other options for finding resources though

fleet knot
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yeah but not at the level im asking for. i dont want more youtube videos

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lol

unreal shard
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you can pirate textbooks, find lecture notes online etc

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mit opencourseware as well

fleet knot
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oh yeah

unreal shard
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ive never seen a reason to use coursera or something similar

fleet knot
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i mean i already paid for a double ba, i dont need to pay more for learning. I know I dont have the creditentials but I never claimed to.

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courses are nice cuz they lay it out foru

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and its kinda updated and modern too sometimes

unreal shard
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dont you have to pay for most of the good stuff on coursera? the other options i gave are completely free

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hmm i get what you mean

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its good to have a direction to go in

fleet knot
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i didnt pay for any of the good stuff lol. im saying you dont have to register the online courses

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you can literally audit online courses

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that way u get the class without paying

unreal shard
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was the double ba expensive? bachelors are free where im from

fleet knot
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but u dont get grades either so

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Yeah. But I worked for like 5 years before that to get my education lol. Meanwhile I just worked and researched online for stuff. I learned a lot and I'll never not like learning

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BA is cool but I needed credentials somehow. And I wish I could like get even more BAs

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but they are expensive lol

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id go philosophy science astronomy engineering and computer science on top of gov and history

unreal shard
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if you like education that much why would it be more ba and not graduate studies?

fleet knot
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and maybe psychology

unreal shard
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you can get paid to do those yk

fleet knot
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Because I just graduated and I dont have anyone to pay me to do it

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Lol Id love to tho

unreal shard
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i thought that like every phd programme was funded though

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so you would get money

fleet knot
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Not in america I guess.

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dissertations get funded

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but not necessarily education

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you can get sponsored

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but im deaf and that doesnt instill a lot of confidence in most people but i dont care

unreal shard
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and doing work as ta should be possible as part of it

fleet knot
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Yeah. I dont need academic permission to do papers and thesis though. I can just correct myself and learn

unreal shard
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i guess if thats all you want?

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you seemed pretty ambitious though, so i think you should really try and look further into it

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ask around and see what your options are

fleet knot
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Sure. I'll do more of that.

unreal shard
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good luck

fleet knot
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thanks. dont need it. just work smart and hard.

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still thanks

maiden brook
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Ngl but working smart and working hard won’t make a baseless framework automatically true

fleet knot
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Of course it wouldn't

fleet knot
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but you're not really seeing what I'm trying to do.

maiden brook
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But like, it’s not about the verbiage or vocabulary, it’s about the lack of coherence in what you’re describing, to be honest im not sure you know what you’re talking about either

fleet knot
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I do know what I'm talking about. Just because you don't doesn't mean I don't. Lol.

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Do I have to refine it?

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Yes

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Do I need to prove it?

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I did partially and I have more to go

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not done

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its internally consistent

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it IS mathematically coherent

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that much i did prove

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It works as I had intended it to

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Not gonna let you pretend that not understanding is the equivalent of invalidity

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I'm using terminology nobody else has and I have work on my semantics to do

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My framework does work.

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That much I know

last ferry
fleet knot
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for identity contrast to work against measurment as a viable scalar quantity

last ferry
fleet knot
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To.

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You.

last ferry
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To. Anybody.

fleet knot
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Lmfao okay.

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I dont understand your arguments

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why are you here?

last ferry
fleet knot
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your arguments are just rantings

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you contribute nothing

last ferry
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Because if you bothered to understand anything, you'd understand how the things you say make no goddamn sense.

fleet knot
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To you

last ferry
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To anyone.

fleet knot
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i cant help you dude

last ferry
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You can't even help yourself, so that's not surprising.

fleet knot
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false

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im more than happy to help myself

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you offer nothing constructive

last ferry
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Because there's nothing to construct!

fleet knot
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so i am helping myself by ignoring your lack of understanding

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i do not need to prove to you.

last ferry
fleet knot
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I understand perfectly fine

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I am going to ignore you if you keep this up

last ferry
last ferry
fleet knot
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What do you want me to provide besides semantic drifts?

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name them

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specifically

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for once

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not definition. if youre stuck on semantics

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you have nothing to offer

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perhaps rereading the whole chat will help you too

last ferry
fleet knot
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I defined my terms already

last ferry
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No. The. Fuck. You. Did. Not. You. Just. Said. A. Bunch. Of. Other. Undefined. Terms.

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You. Cannot. Define. A. Word. I. Don't. Know. Using. Other. Words. I. Don't. Know.

fleet knot
#

Cuz theres no other terms for it

last ferry
#

You. Are. Bad. At. Communicating.

fleet knot
#

thats a problem for you

#

not me

last ferry
#

No, you being bad at communicating is definitely a problem for you.

fleet knot
#

no, you obsessing over this is a problem

#

we established this

#

i cant help you on first principles

last ferry
fleet knot
#

we did.

last ferry
#

No. We. Did. Not.

fleet knot
#

It. Is. Recursively. Defined.

#

This. Is. A. New. Scalar. Field

#

That. Doesn't. Do.

last ferry
#

Define "recursion". Define "scalar field".

fleet knot
#

Recursion is everytime the feedback loop goes back and self verifies. Its a self application. And scalars assign one value to everything.

last ferry
#

You. Cannot. Use. Words. I. Don't. Know. In. A. Definition. Of. A. Word. I. Don't. Know.

fleet knot
#

like what

#

feedback?

#

you dont know

#

feedback?

#

how about verify?

#

looping?

#

applications?

#

really?

#

you dont know any of these?

last ferry
#

Not the way you use them, no.

fleet knot
#

lol

#

bullshit

#

youre a troll

#

gtfo

unreal shard
#

Techie is definitely being overly hostile, but you definitely do need to work on using standard mathematical terminology to represent your ideas

fleet knot
#

Yes I agree

unreal shard
#

Techie is sort of always like that tho tbh

last ferry
#

Recursion is everytime the feedback loop
What "feedback loop"?

goes back
"Goes back" where?

and self verifies.
"Self-verifies" what? What does it mean to "self-verify"?

Its a self application.
A "self-application" of what to what, and how can that thing apply anything to anything?

last ferry
fleet knot
last ferry
fleet knot
#

Im trying my best but give me alternatives

#

please

last ferry
#

How can I give you alternatives if I don't know what the fuck you're trying to DO?

maiden brook
#

Everyone on this thread collectively agrees your “framework” is a bunch of gibberish that only makes sense to you (i doubt), idk why you insist that “Oh you simply cannot understand it but i do” while being an informal “independent” learner who has no fundamental grasp of physics or math

#

You literally are giving independent learners who actually study principled physics and mathematics a bad name by literally saying a bunch of words that make no sense and have little correlation with each other

fleet knot
#

this isnt about me or you

maiden brook
#

It isn’t

fleet knot
#

good

#

this is about the fact

maiden brook
#

It’s about your “ideas” and how it makes no sense. To Anybody

fleet knot
#

that i need to define it better

maiden brook
last ferry
maiden brook
#

&/&/&/&::$&228377:$:7382$2728282273$3)3

kindred siloBOT
#

RamDejin
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

maiden brook
#

Oh wait lemme define that better

fleet knot
#

mock me if you want.

maiden brook
#

&/&/&/&::$&228377:$:7382$2728282273$ so 2)2))2)22))/2)2272727 = thehwhgahshshsywuuqua

kindred siloBOT
#

RamDejin
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

maiden brook
#

And u still cannot explain one use or application of your “framework” without writing a novel

#

That’s how you know your ideas make no sense, even to you

fleet knot
#

Im longwinded and Ive always been

last ferry
#

What do you think a definition is?

maiden brook
#

^

#

let’s start from literal basics

#

Lile verbiage basics

fleet knot
#

Well.. okay fine. A definition is about clarity and having boundaries to agree on

#

They identify what should fall under the term

last ferry
fleet knot
#

same thing

last ferry
#

The point of an explanation is that someone who doesn't know what the word means can use the definition to learn what it means.

#

That's why a definition doesn't work if it has more words you don't know in it.

fleet knot
#

what does the word mean? well what falls under the term?

#

same thing.

fleet knot
#

humor me lets follow this exercise

#

explain "the"

last ferry
# fleet knot explain "the"

"The" is what's called an article. Articles go before nouns, and "the" specifically is what's called the definite article, being used to indicate a specific instance of the noun. Think about if I asked you to "bring me a glass of water". You'd probably go get a glass and fill it with water. But if I asked you to "bring me the glass of water", you'd assume there was some glass around that already had water in it and go look for that.

fleet knot
#

explain why articles go before nouns

hidden hornet
last ferry
# fleet knot explain why articles go before nouns

They don't always. The indefinite article, "a/an", typically only goes before singular nouns, to indicate that you're referring to any singular instance of that noun. The definite article is always used to tag specific instance(s) of the noun being referred to.

fleet knot
last ferry
fleet knot
#

articles go before noun was stated as a fact. also what is an article?

last ferry
#

"Articles go before nouns" is a fact. "Nouns always have articles before them" is not.

fleet knot
#

touche.

last ferry
fleet knot
#

so why article?

last ferry
#

I dunno. There's probably some etymological history to that.

maiden brook
#

Aha!

fleet knot
#

okay. now analogous to

maiden brook
#

Hence eidometry is true!

fleet knot
#

why quanta?

last ferry
#

Except I already explained to you what an article is.

fleet knot
#

no you didnt

#

its some etymology

fresh moon
#

Are we arguing about what an article in grammar is?

maiden brook
#

Ohhhh

maiden brook
fleet knot
#

yes because hes a troll 🙂

maiden brook
#

😭😭😭

last ferry
fresh moon
#

Ah

maiden brook
#

Brother really cannot define his own framework with a simple coherent example, and he’s the troll?😭💀

fleet knot
#

I did define it

#

its bootstrapped

maiden brook
#

Not with an example you did not

fleet knot
#

and literally talks about quanta

#

i did have an example

fresh moon
#

God I love this server 🍿

last ferry
#

It's not a definition of any use if it contains more terms we don't know.

maiden brook
#

U can’t string up some words about the “quanta” and expect it to mean anything

fleet knot
#

but its buried under techie's tantrum

last ferry
#

Why do I have to keep repeating this to you?

#

I've said this several time. I've explained why.

maiden brook
#

Same vibes

last ferry
#

I thought the Time Cube guy was dead.

fleet knot
#

again. i have not mocked a single one of you except techie because ive been mocked consistently. I do not learn that way.

maiden brook
#

Funny thing is the author of this forum is presenting his framework called “Empirinometry” , some similar gibberish to what you’re proposing papa dragon!

#

You are not wanting to learn

#

You are wanting to be correct

#

About something that is unfortunately just plain gibberish

#

How have you not identified this issue of yours

last ferry
fleet knot
#

cuz the math works

maiden brook
#

Show us

#

One fucking example😭

last ferry
maiden brook
#

Of the math, using numbers

last ferry
#

Let's take a simple example. F = ma. Newton's second law. What does this mean?

#

What it means is, if you measure any two of an object's force, mass, or acceleration, you can calculate the third.

fleet knot
#

its literally in the .txt

#

in the pdf

#

which techie has outright refused

last ferry
#

It's a description of a mathematical relationship between well-defined, measurable physical quantities.

fleet knot
#

yeah

#

assuming a manifold

#

on a bunch of assumptions

maiden brook
#

Wait what the hell

fleet knot
#

what is m?

maiden brook
#

Why does the author of the forum’s work sound like the same gibberish as yours? That’s kinda odd

last ferry
#

So to say that Newton's second law "works" is to say that if you do measure an object's mass and acceleration, and you multiply them together, and then you measure the force on the object, the equation will have accurately predicted the force.

maiden brook
#

And u both call it “Eidometry” vs “Empirinometry”

#

😭😭😭

#

Crankvengers

#

Assemble

last ferry
maiden brook
#

I followed up with “its incomprehensible…” to kinda negate defining it as a framework

fleet knot
#

Unlike this framework

#

this is circular

maiden brook
#

Huh

#

What is circular

fleet knot
#

that is super circular

maiden brook
#

Ill tell u what is

fleet knot
#

what is a hash function?

maiden brook
maiden brook
fresh moon
#

I gotta give it credit, the pdf sounds fancy

maiden brook
#

😭😭

last ferry
maiden brook
#

All .txt

fleet knot
#

I actually have clean ontological grounding. I have concrete formalism, and I have self normalization.

#

that framework doesnt

#

so honestly

fleet knot
#

mock me if you want

#

yes i do

#

go ahead

#

look

#

or scroll up

#

this is not the same as that guy

#

if you refuse

last ferry
#

I know you think that.

fleet knot
#

literally stfu

#

look or dont

last ferry
#

I don't understand why you think this document, written by you, is any better of an explanation of your idea than the things you've written in this channel.

fleet knot
#

it is

last ferry
#

But why do you think that, though?

fleet knot
#

cuz it has ALLL THE DEFINITIONS YOU WANT

#

and an example

#

of what a fucking loop is

#

ive been putting it into different words for you

last ferry
#

Discernibility
Measurement retains its conventional SI meaning: the assignment of quanta to observables using standardized units.
Eidometry does not redefine measurement. It introduces discernibility as a precondition for when measurement itself becomes valid. That is, no structure can be assigned a measurement unless it first demonstrates structural validity.
The Hydron (explained fully below) defines the threshold as to when measurements become meaningful or otherwise. Measurement in Eidometry is not rejected or redefined, but it is filtered by whether identity itself can persist under any transformation. A structure is measurable as defined:
What. The. Fuck. Is. This. Supposed. To. Mean?

fleet knot
#

keep reading

last ferry
#

Why should I?

fleet knot
#

because it defines that

last ferry
#

This isn't the definition???

fleet knot
#

keep reading. its a recursive logic

last ferry
#

What the fuck does that mean???

fleet knot
#

okay dont.

maiden brook
fleet knot
#

stop reading and stop trying

maiden brook
fleet knot
#

im going to bed.

#

talk more

last ferry
# fleet knot stop reading and stop trying

So you were wrong. Your document isn't better at explaining than you are. Which should not be surprising, since you wrote it. I don't know why you thought it would be.

maiden brook
#

A base case

last ferry
fleet knot
#

keep laying out your critiques. I will actually take my time and do my due diligence

maiden brook
fleet knot
#

i actually did

maiden brook
#

Take the factorial function for instance

fleet knot
#

if you look at my old papers

#

it was all philosophy

#

now i have scalars

maiden brook
#

It can be written recursively as f(x) = xf(x-1)

fleet knot
#

i have logarithmic

maiden brook
#

With base case f(0) =1

last ferry
#

So you went from meaningless word vomit to meaningless symbol vomit. How is that better?

maiden brook
#

F(x) applies/uses F(x-1) which is kinda a “self” application, but the context you’re using self application in a “feedback” loop is just wrong

fleet knot
#

cuz i didnt go from meaningless word vomit. But thats all my earlier papers were

#

then i took classes

maiden brook
fleet knot
#

and got this framework

maiden brook
#

Read this and explain why ur framework is more valid than MATTHEW’s

last ferry
fleet knot
#

The ones I paid for yes

last ferry
maiden brook
#

Lol

fleet knot
#

no. ones i audited

#

i have their resources

last ferry
#

"Audited"?

fleet knot
#

Yeah. You can show up without being an actual student and get the same info

last ferry
#

Except for the info of whether you correctly understood what was taught, which is, y'know, the important part.

fleet knot
#

yes. indeed.

#

but its still on semantics

#

but fine

last ferry
#

Get the fuck over yourself with these "semantics".

#

We're "still on semantics" because you keep saying fucking nonsense and refusing to fucking define it in a way I can fucking understand. Just do that if you're tired of arguing about whether the things you say mean anything.

fleet knot
#

Then list your critiques. Everything

#

Ill respond to them all

last ferry
#

My critique is that you keep saying fucking nonsense and refusing to fucking define it in a way I can fucking understand.

maiden brook
# fleet knot but its still on semantics

Sanity check: do you think there’s good reason whatever framework you’re proposing has been downright ridiculed by every single individual who has interacted with you on this subject? Now do you think all of us are crazy? Or are you gonna begin to contemplate if your “work” might be the problem after all…

#

Think about it, no need to respond

#

And then when you hopefully come to your senses, we can see good use of the command +close

fleet knot
#

Actually, I had a few people understand me and they tried the math themselves and it worked

maiden brook
#

💀💀💀

#

Name this person

fleet knot
#

my physics teacher. and a math student i am friends with

#

shes in data science

last ferry
#

...is English your first language?

fleet knot
#

no. sign language is. i spoke fluently at like 16

last ferry
#

Which sign language?

fleet knot
#

Asl

#

its visual

last ferry
#

Wait, so what was the first language you learned to read? Is there written ASL?

last ferry
fleet knot
#

I could read english, but I wasnt fluent until older

maiden brook
#

I actually made a lstm-rnn that converted asl to singular english words

#

And then used an llm agent to collect the array of translated words by the lstm rnn and then form a sentence in english that matches the given context

#

Fun capstone

last ferry
fleet knot
#

Grammatically.

maiden brook
#

😭😭😭

#

Moth Jahnstigator

fresh moon
#

I tried to read the pdf and it did feel like philosophical text honestly, I couldn't understand definitions and suddenly long formulas popped up

#

Throwback to when I tried to read about Omega Point

fleet knot
#

its math from a single scalar quantity

#

its dense but not jargon

#

i need help in expressing it not just being told "i dont get it"

fresh moon
#

Yeah, can you please elaborate on what "recursive measure of persistent distinction" means?

fleet knot
#

eta keeps a count

fleet knot
#

eta is collapse resistance

maiden brook
#

And what is collapse resistence

#

Oh yeah, recursive logistics

fleet knot
#

eta = 1 means the most stable and valid solution

maiden brook
#

What is recursive logistics? Fractal structures

fresh moon
#

Shh

maiden brook
fleet knot
#

its in the pdf. do you want me to copy and paste?

#

the example? or elaborate on it?

fresh moon
#

I am looking at pdf rn. I am trying to understand it better but I still have questions

fresh moon
fleet knot
#

No. E is not eta.. E is a new scalar field. I recognize my semantic drifts but I am trying to define E as structural viability. As in the example of Base-3 1/3 and Base-10 0.333. One is a complete identity, the other is not. You wanna argue everything is approximation, great. It is, but where does that approximation structurally break down compared to the actual value?

#

base-10 0.3333 can approximate only up to so many degrees before its structurally incapable of being a valid quanta

#

its not cuz its wrong

#

its cuz its not 1/3

fresh moon
#

I see

fleet knot
#

i am trying to quantify this drift by bootstrapping. and counting each bootstrap without contradiction as a viable quanta

#

if each bootstrap comes back as eta=1

#

its valid

fresh moon
#

Errr, let's do one step at a time, I am not that good at philosophy

fleet knot
#

sorry

fresh moon
fleet knot
fresh moon
#

What is depth?

fleet knot
#

so. if you have 0.33 thats not very deep compared to 1/3. if you have 0.333333333333333 its closer, but it still has an approximation failure down the line.

fresh moon
#

Oh, so can you say that depth is a measure of accuracy of an approximation?

fleet knot
#

yes thatd be a way to put it

fresh moon
#

Uhuh, I see. But still, generally accepted definition of a scalar field is a function that takes a vector as an input and returns a scalar value as an output. If you're not assuming space, then what do you mean by E being a scalar field?

fleet knot
#

Honestly that's why Its eidometry not calculus. Im aware its not traditional math. And Im not pretending it is. Its a framework Im trying to define

#

its scalar for a bootstrap

#

how stable that bootstrap is

#

they all have to be ratios

#

i really need to sleep but i can continue more on this

fresh moon
fresh moon
faint steppe
#

#1377737913466360049 message

#

Read this message (it should link to the first message in the thread)

#

Might give you a bit of insight in our experience

#

Maybe you find the message very interesting

fleet knot
fleet knot
#

I'll drop the term but I still need something to define

#

I still need a term for: scalar over recursive depth that encodes contrast without assuming space or time.

#

just realized i did a word vomit again. but still

fleet knot
#

How do I make the analogy that this is a field domain, but not in a geometric sense. It's still functionally a scalar but it's not a traditional scalar.

faint steppe
#

Nobody has any clue what you're talking about and you've shown no signs of improvement

#

Give up. Go talk somewhere else, with your data scientist friend

fleet knot
#

Nope.

#

I wont give up

#

If you want me to give up. You give up and go somewhere else.

#

I won't quit because some dude behind a computer said so

faint steppe
#

Oh don't worry about that. Just kindly telling you that talking here is and will continue to be a waste of everybodies time

fleet knot
#

Then don't waste your time

faint steppe
fleet knot
#

It's my discussion post

#

Quit being here

faint steppe
#

You should learn mathematics before believeing you achieved some giant breakthrough. It's a waste of your time, you won't get any further in this discord

fleet knot
#

Hmmmmmm... No

#

I did

#

I learned math

#

I'm offering a framework that's new and uses different math concepts

#

and if you cant synthesize it like I can

#

eh

#

your lack of understanding is not invalidity of my framework

#

If you want to invalidate my framework, then invalidate it in my terms since its all first principles

faint steppe
#

The point is, like RamDejin neatly explained, that there are many math experts here with proper acedemic education, and every single person told you it's worthless gibberish

#

Everyone on this thread collectively agrees your “framework” is a bunch of gibberish

#

Accept the message

fleet knot
#

People that actually refused to open it. Moth was the one that got close to understanding.

#

Either way, Jehare. You're not stopping me from learning more math or physics or whatever the hell I want to learn.

#

If I'm wrong, I'm wrong, but at least prove it. Not "I don't understand it"

#

and I know you can't prove it if you don't understand it

#

but thats the whole point

#

You can't understand it so you can neither prove it or disprove it yet

#

Once you can understand it

#

you can disprove it to me

#

its actually falsifiable and I tested for that

#

I havent falsified myself but I'm learning more how to

#

So no

#

Your lack of understanding does not equate to incoherence

#

I'm looking for REAL falsifiability not more tantrums

clear mauve
left fjord
last ferry
fleet knot
#

i'm misusing terms like scalar and its confusing everyone.

last ferry
fleet knot
#

and im trying to make this productive enough for you to test it

last ferry
fleet knot
#

I AM failing to communicate. I am not smug. Failing to communicate is NOT the same as a incoherent framework.

#

It is NOT invalidity

last ferry
#

I've told you over and over what you need to do to communicate successfully.

#

And you fail over and over.

fleet knot
#

I'm still learning. I know scalar isnt the right word anymore

last ferry
#

You know what it means when you repeatedly fail to communicate an idea? It means you probably didn't understand it as well as you thought. You know what it means when the person who invented an idea doesn't understand it? That it probably makes no goddamn sense.

unreal shard
#

i just checked on coursera out of interest and couldnt find any course on category theory

#

i thought this whole thing was based on the category theory you learned on coursera

unreal shard
#

still cant find it

fleet knot
#

hold on i still have the resources

unreal shard
#

i just want to see if the stuff you have been learning is actually good content or not tbh lol

last ferry
fleet knot
#

It's not really by accident. It's still the wrong word because it's not geometric. I do know what I'm talking about and I see the relationships and I see how the math works and how it bootstraps. It's understandable and it's coherent. I think another one is that I'm confusing "measurement" with "discernability" with "quanta" and they all mean different things and I need to clean up my ambiguity with that.

clear mauve
#

Hey, I have a little question for you dragon, can you prove to me that the "filter" that you have defined holds itself?

fleet knot
#

I actually did with my 1/e example

#

it returned the value via bootstraps and showed contrast.

#

it showed that eta=1, which means valid structure

clear mauve
#

Can you write down the proof here, or show it to me?

fleet knot
#

sure. but its in the context with reference equations that I was using so on its own youre gonna ask "what the hell did you use" but im more than happy to take you through it and show you which equations I used... OH AND THE RESOURCES

#

i forgot the resources hold on

#

i need to upload em

#

my pc discord is updating slowly ;-; meanwhile, i'll do the example

#

"To find the most collapse-resistant point, we must consider that E = 1/e ≈ 0.3679 is the most structurally stable identity loop. However, this number does not reflect maximal contrast (0.5) of identity which would give us 0.6931 instead. We will assume 1/e first and see where this takes us:
Based on E=0.3679; if we plug in E to my axioms, we find η≈0.1 and T≈0.02718. That is far more informative than a flat fixed point like E=0.5, which gives (ΔE)^2=0 and no evolution. Here, the identity is in motion but perfectly self-correcting. That is your loop. E=1/e isn’t a dead-end attractor, but an origin point of this filter. Identities can stabilize there but also transit through or evolve around it. It is the only known point where recursive strain is both active and survivable at unity. Thus, relative to ΔE=1 (literally 1 quanta, the first discernible contrast unit from indistinguishability, a single viable contrast jump) bootstrapping its identity and assuming all logarithms are natural log (base e): we get T≈2.718 and η=1.
Recall that T is how sensitive identity is to contrast change. At E = 1/e, T reaches Euler’s number which is very meaningful: It suggests that identity contrast at this point evolves exponentially efficiently under strain. There is a rapid response without runaway collapse.
Recall that η is your identity survival score. Getting exactly 1 means: the structure is perfectly balanced against collapse. It neither decays nor explodes under recursion strain. η=1 defines the critical survivability threshold: any higher and identity is overstretched. Any lower and it collapses.
This gives you a natural unit of resistance against which all identities can be compared to thus producing quanta itself as a structurally valid prediction model of measurement. The numbers are a natural consequence of the identity contrast field and its logarithmic behavior. The fact that η=1 at E=1/e gives you a canonical normalization point. Any other identities can be scaled in relation to this one.
These results confirm that E=1/e produces a structural constant. This is not the attractor point for the universe, but it is a critical balance point where collapse resistance is one and the directional feedback is euler’s number. This is a reference identity from which all others are compared to. Structures can begin, stabilize, or transit through E=1/e but recursion pushes them onward. It is a structural fulcrum, while eidropy moves everything forward.
So even though the identity is maximally collapse-resistant, it is not static. This is a non-trivial dynamic equilibrium. This is not a contradiction, this is a feature of recursion: the identity loop survives indefinitely (η=1) while still processing contrast steps (ΔE > 0) with maximum efficiency (T = e). The structure isn’t inert. It is stable under recursive strain as well as active (not collapsing, not diverging, but evolving)."

#

This is a direct copy and paste. I have made no changes to it.

lean lodge
# fleet knot A structure is whatever that can survive slightly being changed and still recogn...

how are you deforming mathematical objects? isn't that just replacing it with a different object? how do you expect its identity to reassert itself if you just changed the object to something different? what does slightly deformed mean? (i can hit objects with some pretty big deformations [replacing 0 with 1, for example... i don't expect the identity of 0 to reassert itself after this deformation, but that doesn't mean 0 is invalid])

fleet knot
#

I still need to elaborate and clarify on a lot of things

#

and my first pdf had the E= equation, but not my txt file

#

and thats my fault

fleet knot
#

so how valid is base-10 compared to base-3, structurally?

#

how much can you count before it diverges from what you're trying to count?

#

It's a way to predict that

lean lodge
#

uh, so i think what you're saying is you're comparing an object to an incomplete definition of it

fleet knot
#

That's a cleaner way to put it.

lean lodge
#

but how incomplete? again, what if we just delete the definition?

fleet knot
#

It's a structural viability test, not a replacement of math

#

or physics.

#

its just... is it viable to make predictions within accepted thresholds of error?

#

its uncertainty in our own count

#

and we need to account for that

lean lodge
#

i feel like this does not answer my question

fleet knot
#

elaborate

lean lodge
#

this concept of changing something and comparing it is very fundamental to your entire project

#

you should be able to very specifically say exactly what it means to change it

fleet knot
#

Ah. Okay. Let me make the distinction clearer: deleting a defintion entirely gives you no structure to test which is what I define as collapse. There's nothing left to bootstrap or to recursively define "yes, I'm still me". That's annihilation and that's why the only valid numbers are between 0 and 1, since they define collapse.

I'm not removing the identity. It's testing representations of that identity (0.3333 in place of 1/3) and seeing how far they remain faithful to 1/3. If I stop at 0.3, I collapse quicker than if I stopped at 0.3333...because 0.3333 deforms 1/3 less than 0.3 deforms 1/3.

The deeper the approximation, the more effort is needed to collapse it: that’s the recursive deformation threshold.

lean lodge
#

so this is not a test you can apply to an object, it must be applied to an ordered pair (object, approximation)?

#

if that's the case, how are you stress-testing math, which in most cases isn't using any approximations for anything?

fleet knot
#

Yes, that is exactly right. You can't test deformation in isolation. The identity sets the standard, and approximation is measured against it. And...

That's exactly the crux. Math doesn’t use approximations: it defines objects precisely, within a symbolic system. But here's the issue: The precision of formal definitions does not guarantee predictive power. So, what I test isn’t how well-defined something is (which is what math is all about): I test whether the structure survives recursive self-reference without contradiction or collapse.

Math definitely defines sqrt(2) as the root of x^2=2

But it still required encoding to compute, compare or model. The moment you use that structure in analysis or modeling or digital systems, you must represent it via approximation and that's where the structural viability gets exposed.

lean lodge
#

we can prove sqrt(2) > 1 without approximating sqrt(2) though

#

none of math should involve saying "sqrt(2) is about 1.4, so this is close to 1.5, so this is about π/2"

#

we should not be talking about manifolds by saying "manifolds are approximately R^n"

last ferry
lean lodge
#

and anyway, this doesn't seem like a very insightful way to look at numbers with infinite decimal expansion

#

like, look, if we use more digits, the number is closer?

last ferry
#

Wait, are you serious? This whole time, you were talking about measuring the accuracy of an approximation? There's already a bunch of fucking math that exists to do that.

fleet knot
#

Its identity is structurally viable only so long as you don’t force it to "land", truncate, round, or lock it into a finite number. You're no longer working with sqrt(2), but a representation of it.

It survives this filter because your approximations get better without ever collapsing into contradiction. That’s what I mean by structural viability. But the moment you land, you introduce deformation. And that is where it starts diverging from the true identity.

I'm not claiming whether sqrt(2) is "measurable", but it's valid because it has structure to define itself. It only holds up as a true structurally valid number BEFORE you force it to express itself in an approximation.

You're right that approximation error, convergence, and symbolic identity are all well-covered in math. I’m not trying to reinvent those tools. What I'm doing is different

lean lodge
#

oh my god they really are rxrsapphire again

fleet knot
#

At what point does the identity stop being structurally distinguishable from noise, saturation, or collapse?

unreal shard
#

i still wonder where saph went after that thread died out tho

fleet knot
#

I'm not asking how close an approximation is.

#

and I dont know who rxsapphire is

#

is there an old thread?

#

is it still around?

unreal shard
#

uh i think its closed but you can probably still search for it

#

it was called irrationality of pi

fleet knot
#

okay im not arguging against "reals" and "irrationals". that's not even my case at all.

#

is the irrational representation structurally viable? this would apply to reals too. if you put down a real number and said an approximation of 2.9 is 3 then how valid is that?

#

how much can it define before collapse?

unreal shard
#

we already have ways to add uncertainties together when using approximations for some calculation

fleet knot
#

Error bars tell you how far off your answer might be assuming the system you're using is still valid.

But I'm asking how long can your system survive before it's no longer valid at all to do anything on it?

lean lodge
#

i guess we should ask, why is there a time component to this? why does 0.3 survive less time as an approximation to 1/3 than 0.33333?

#

and how much time do each of these survive

unreal shard
#

'system no longer surviving' and 'no longer valid' just sound like situations where you have a very high uncertainty

#

and you are acting as if uncertainty is a different thing

fleet knot
fleet knot
#

not just an approximation drift

unreal shard
#

ok im going to be very real with you at this point

#

i think you are either trolling or just very out of touch

#

from what i understand you have read some pop-sci books

#

these books are very good at making people feel like they know a lot more than they do

#

you need to read some actual textbooks

fleet knot
#

actually they are textbooks. im trying to send them but its loading.

unreal shard
#

is this only within category theory?

fleet knot
#

sorta. and data science cuz i looked into mutability. either way. im ready to send the files

#

its just slow

unreal shard
#

well learning some category theory and data science is not enough to create the kind of theory you are aiming for

fleet knot
#

clearly not, but its what set me on the path

#

i had formally taken up to calculus 101. then i did the rest of the math learning kinda on my own since i cant afford to pay for all that

unreal shard
#

so you went straight from calc 1 to category theory?

fleet knot
#

not straight but

#

i did end up there

thick isle
#

@fleet knot can you explain this whole thing in such a manner that a hs student can understand (me)

fleet knot
#

It's not high school math in any case. I can teach you how to process the equations in a high-school way but I dont have presentations or slide shows for you or a whiteboard rn

#

its like asking for black hole thermodynamics to be explained in high school math

#

its doable i guess but

#

lol its not high school math

thick isle
#

Just the concept deemed down at a level of hs (no complicated words sobbingTEArs )

fleet knot
#

Let me try then.

unreal shard
#

mostly just like the formula for schwarzschild radius from what i can remember

fleet knot
#

Imagine you're drawing a perfect circle on paper. You can never draw it perfectly. The hand shakes, the pencil isn't perfect. But you can get pretty damn close.

Now imagine someone uses that drawing to build a machine. If your circle is close enough, it works! But if it's too far off, the machine doesn't work!

Now, this sounds like approximation theory because it's in essence asking "how close did you get", and measuring error itself. But it's not because:

You give your almost perfect circle to someone building a machine that needs it to be really really really precise. At first the machine works, but if your circle isn't good enough, eventually the machine breaks. So what I'm asking is:

Will your approximation still hold up if you keep using it over and over? I'm not asking how wrong it is, I'm asking at what point does your circle stop being useful at all and start breaking the system?

unreal shard
#

you have said so many different things at this point, you yapped about something similar to dynamical systems before, and now you are just talking about approximation uncertainties

#

and at one point you even said something to discredit string theory

#

if you had actually read data science you wouldve started with an explanation closer to this

#

and there was the whole 'entropy with direction' thing

#

its like every time someone asks a question you completely change your entire theory

last ferry
fleet knot
unreal shard
#

i said 'similar'

#

and the whole thing with using the approximation over and over is just adding uncertainties.

#

you can set some arbitrary threshold for when the uncertainty gets high enough and your system 'breaks'

fleet knot
#

You're not wrong to call it messy. I’ve been trying to meet people where they’re at, so sometimes I simplify or shift the angle depending on the question. That can definitely make it sound inconsistent.

But here’s the throughline: I’m not building a theory of uncertainty. I’m building a theory of structural survival; whether a definition or model can retain its own identity under recursion.

So yeah, I’ve referenced approximation, dynamical systems, entropy, even string theory... but always as examples of where structural assumptions are made without being tested for collapse. Most of the time, you ask how much the answer might drift. But you should ALSO ask whether the system even valid enough to hold itself together. If not then it doesn't even matter your answer drift because it's structurally invalid to start with. It's a precondition to do math like approximation theories.

If it helps, I can write it out clean, from top to bottom. But the core idea hasn’t changed once:

A structure is only valid if it can survive recursive deformation without losing what makes it itself.
That’s what everything I’m saying comes back to.

unreal shard
#

you are once again going back to a bunch of ill defined terms

#

because no one can call you wrong when they have no idea what you are saying

#

but every time you have started to explain things in detail, and with terminology other people understand

#

they have shown you where you are wrong.

fleet knot
#

I wish you could understand what I'm saying so you can call me wrong. But not understanding is not the basis on which you call me wrong. They have shown where I didn't communicate and I acknowledge I need help in that.

unreal shard
#

i understand enough to know you are wrong

fleet knot
#

Then on your terms, where am I wrong?

unreal shard
#

pretty much everywhere

thick isle
unreal shard
#

you are wrong to expect yourself to be completely correct and have no flaws in your haphazardly mushed together theory of everything you created after reading a few pop sci books

fleet knot
#

I'd seriously appreciate if you could point me to where my claims break down.

#

I do not expect to be correct. I expect to be corrected.

thick isle
unreal shard
#

first of all

unreal shard
#

you seem really obsessed with figuring out where some structure breaks down, whoever created the structure can normally tell you that

#

nothing you are doing stands out as new or useful in any way

#

uncertainties will not make your structure ill defined unless they push you outside of the boundary it is defined on

#

thats probably enough for you to think about for a while now

#

and hopefully read some more textbooks

thick isle
fleet knot
# thick isle This doesn't make sense why would it stop working unless the circle wears down a...

That's kinda the difference. The circle itself doesn't change or wear down after use. But it's on how it's being used over and over again is what breaks things down. Now imagine that same drawing is used to cut another gear... and another... and each gear is used to trace the next one.

So if you start from a not-perfect drawing, and you reuse the last gear for the next, the error builds up. Eventually, the shape isn't even close to a circle anymore even if it started out "good" enough. It's not the deformation of the circle itself, but the structural deformation of reusing the circle itself.

thick isle
fleet knot
# unreal shard thats probably enough for you to think about for a while now

You're right that most mathematical structures come with boundaries and rules defined by their creators and you're also right that uncertainty alone doesn't invalidate structure if you're working fully inside these definitions

But my point is different:
I'm not asking where you expect the system to break. I'm asking if it still holds up when reused in ways that it wasn't originally designed for... especially layered systems like simulations, iterative models, even abstract logical feedback. So you're not wrong that the structure's creators defines its bounds.

But what I'm saying is:
“Let’s stress-test it not by pushing it outside, but by folding it in on itself and asking does the identity survive recursive reuse?”

If you think that’s already covered in math, I’d honestly love to know where to look, because I’ve been building this as a response to gaps I didn’t see covered.

If I’m wrong, I’d rather be corrected than ignored.

unreal shard
#

Quite a lot of maths is about generalising concepts to other situations

fleet knot
# thick isle Yeah that makes sense So now let's slowly drop the analogy What is the machin...

The circle is any definition value or structure like sqrt(2), or a base-10 approximation like 0.333 for 1/3. The machine is any system that uses structure like an algorithm, equation, simulation, proof system, or feedback loop. The machine uses the last version instead of going back to the original because in most iterative systems (esp modeling), each step builds on the output of the last. That's how errors and distortions build, they feed themselves. If the structure isn't perfect then how long does it stay usable under reuse? And when does it start to literally break what's built on top of it?

clear mauve
#

What do you mean by "use" in the general sense?

fleet knot
#

By use, I mean any process that depends on a structure to produce another structure whether that's a number being plugged into a formula or a value being passed into a simulation or even a definition being referenced in a proof. Using a structure means you're applying it, feeding it into something else that expects it to behave a certain way.

clear mauve
#

So the "survival of the identity of a structure" (whatever that means) depends on the use you make of it?

fleet knot
#

Right. Exactly. The survival of a structure's identity depends on the context in which it's used because it's the context that determines how tightly that identity has to hold. Some uses are lenient like using 3.14 for π to estimate a circle’s area.. the system doesn’t fall apart. Other uses are strict like symbologic algebra where assuming 0.333 = 1/3 can lead to contradiction if you multiply and expect exact values.

So when I say Identity Survival, I mean does this structure keep behaving as intended under the stress of its actual use case? It’s about whether it holds together when you rely on it, not just naming it. Some identities are shallow and break quickly under recursion. Others are deep and remain coherent even when reused many times. That's what I mean by survival

clear mauve
#

So we come back to what's been said earlier. Your whole theory is just about estimating imprecisions.

fleet knot
#

That's the key difference I'm trying to show. I'm not just estimating imprecision. I'm testing literal structural coherence under reuse. Imprecision assumes you're measuring from a known, fixed reference. But does your reference itself hold up under reuse and transformation? This isn't only about how far you drift but whether that reference becomes self-invalidating under feedback.

clear mauve
#

I'd say most of the time, you don't define the "reference" by what it does; rather it's a consequence of its definition or some property that it holds. Therefore, you actually can assume it's going to "hold up".

#

Though most of what we are talking about is not defined properly

fleet knot
#

I'm not questioning the definition itself. I'm asking what happens when that defintion is used over and over again in systems that compose it back into itself. Like iterative models, feedback loops, or chains. If you define something like sqrt(2) as the number whose square is two, that's airtight. But when you represent, approximate, or rely on that identity recursively... the system you're building can still fail even if the object is "well-defined".

The reference should still be defined by what property/conditions it satisfies.. but does that satisfaction still persist through repeated use and distortion or does it collapse into contradiction or noise? If it does hold, great! The structure passes! If it doesn't, I'm not calling it wrong but I would call it structurally shallow in that context.

That's what I'm trying to define more rigorously even if my terminology still needs work..

#

How deep this structure goes is what I define as how coherent it is

clear mauve
#

Anyway I gtg now

fleet knot
#

Totally fair. I appreciate you staying in the conversation, even with undefined terms in play. You're right that in formal systems, representation doesn't change identity and if a structure holds once, induction tells us it holds forever inside the rules of the system. But I'm not probing the math inside the system, but the fragility of the system's use outside its own assumptions... especially when implemented, approximated or in layered logic.

I think at the deepest level my framework does ask something approximation theory doesn't usually ask. Does the structure still behave like itself when its reused through imperfect processes or channels? That's the line I'm trying to draw. Identity isn't wrong but how it's handled can reveal where deeper failure begins.

fleet knot
maiden brook
lean lodge
#

i agree with amy that this feels really different to what they were saying previously

#

like, currently the concept is that if someone tries to draw a circle based on their previous circle and they keep inaccurately duplicating it and adding error at each step, eventually it won't look like a circle

#

this is truly deep stuff

#

but now, we want to quantify this error? ok, invent statistics
and then we want to build all of math and physics on this? errrm

thick isle
thick isle
#

As machine

fleet knot
# lean lodge i agree with amy that this feels really different to what they were saying previ...

Literally never changed my core question: when does a structure of quanta fail to measure the thing it’s trying to describe? From day one, I've viewed structure as something that has to hold itself together under its own transformations. I have consistently said I wasn't trying to redefine SI units and that i was inserting a discernability condition: no structure should be treated as valid unless it first proves that its identity doesn't collapse under recursion. I keep returning to contrast and collapse.

I have switched metaphors without framing it. I used "scalar" before really defining my E as contrast values over recursive identities. Words like "feedback" "recursive strain" "coherence" and "collapse" has always been consistent lol but I didn't ground them first in your framework. I jumped between approximation theory, entropy-information, modeling errors, mutability, bootstrap loops, and recursion but it kinda deals with a lot of that. None of them were contradictions.

lean lodge
#

can we get an example of stress testing zfc

#

is this like

fleet knot
lean lodge
#

what if we say a proper class is a set

#

we apply the axioms to this class repeatedly

#

as if it’s a set

#

until we find a contradiction

#

and the number of applications of axioms we use is the duration before the approximation of a set by something that isn’t quite a set collapses?

#

is this what it means to test zfc?

fleet knot
#

Yeah! I'm not just applying the axioms to a weird object for fun. I'm literally asking what happens when we treat something as if it a structure (like a set, proper class or a meta structure or even an approximation) and run it recursively through ZFC operations? If that stand in structure survives repeated application of the axioms without contradiction, I'd say it survies the discernibility test for that layer...

But if at any point you get an ambigous membership like (x ∈ x) or no well-founded regress, then the structure fails... not because the ZFC is wrong but because the thing you're treating as a set no longer survives this filter under transformations.

RIght, so the number of steps before contradiction becomes a measure of structural depth or viability under that framework. I'm not proposing a new logic, but I am filtering existing ones because I want to find out which structures can survive this filter and to what extent. If they pass, they're structurally valid. If they don't (even if they're useful) they can't serve as foundations without risking literal contradiction.

The way that I'd write whole sets and not just numbers like 1/3 or 0.3333 is something closer to this. If S = Structure then...

Let:
S = {E_0, E_1, ..., E_n}
be a recursive chain of identity states where each E_(i+1) = f(E_i), and f is some transformation (application, measurement, logical derivation, approximation, etc.). This models your reuse chain. But E_i ∈ (0,1) must hold, or the structure collapses.

You now test survival by seeing whether the elements of S stay within the viable eidropic range and maintain η above threshold.

fleet knot
#

I hate that _ causes italics

#

lol

fleet knot
#

In my 1/e example, it is a structural resonance point because eta=1 there always. Unless I'm proven otherwise, I'd say it's the only known point of resistance, contrast, and directional response balance into a dynamically survivable loop ...

1/e is not an input really, because e is a value.. I was trying to identify the unique contrast state where the system becomes maximally recursive-resistant with minimal external corrections.

maiden brook
#

The terms ”resistance” is a purely physical term, you are using self made terms to define something non-sensical, “contrast” makes no sense either, give a numerical example (using actual numbers and not variables) and numerically define “resistance”, “contrast” eta etc. maybe then not everyone will view this framework as a complete joke, no offense.

fleet knot
#

Okay. Let me work on that. I'll make five examples. Give me a little time for that. Probably get a .txt file tomorrow or something.

median marsh
maiden brook
# median marsh This was perhaps the closest I’ve got to understand you, do more of these

Honestly still makes little sense, has OP heard of uncertainties?also a compass? And negligiblity? For all actual practical purposes, a circle drawn with a compass is “Perfect enough” where this new framework does nothing but convolute the idea of margin of error, still has no correlation to “ETA” between 0 and 1, it’s trying to overcomplicate a topic that has been extensively explored, and adds nothing to the discussion, except present a “Try not to get confused or frustrated by my lack of rigor” challenge. 😭😭😭

maiden brook
#

If asking you to give a numerical example means u have to make another document filled with gibberish, then it’s already bordering on the invalid side, regardless of how much you think your example makes sense. Do you think einstein would write an essay to explain $E=MC^{2}$ ?, no, he would give an example of a uranium atom undergoing fission, and how the post fission mass of the emitted neutron/nucleas is slightly less than the original atom, because 0.1% of the mass observably got converted into energy. Boom. No convoluted circular explanations. Hopefully you can follow suit one day

kindred siloBOT
#

RamDejin

median marsh
thick isle
lean lodge
#

so is your program basically the idea that if it takes more steps to reach that contradiction, the statement is "more valid"?

#

cuz previously you were saying that if a structure eventually collapses, it was never real in the first place

fleet knot
fleet knot
# lean lodge so is your program basically the idea that if it takes more steps to reach that ...

A different analogy I thought was useful of why this is different from classical approximation theory is imagine if you're determining whether that block (system/structure) is valid within acceptable parameters to construct a building with. but I am testing when that building is going to collapse due to earthquakes, wear and tear, and other general deformations and transformations. So I'm not just asking whether this block good enough to build with, but given the block, what structures are valid and can survive events

So to answer your actual question, yes but with a caveat. It was in the context of a "theory of everything" at the time. I am that ambitious and I'll spend my life on it if I have to. If a structure eventually collapses, it was never real to begin with. If taken to the extreme, a “theory of everything” that passes all structural filters (meaning every assumption, operation, and object survives recursive collapse) then that theory is, by my definition at least, the most realest framework possible. Not because it explains the most, but because it survives being itself at all scales, under all deformations, without exception. I am not going to pretend to sit around and accept the huge discrepancies between theoretical physics because of a fine-tuning problem. We already know it's not a fine-tuning problem or simply error margins because there's a lack of convergence on the same data.

#

anyway gtg for now

unreal shard
#

I think i was really patient at first but this is just absolute crankery at this point

#

Im probably done with this thread lol

maiden brook
clear mauve
#

By the way, If I were you @fleet knot , I'd study logic. That way you would understand all the reasons why your "theory" is not valid.

maiden brook
#

Yes, predicates and propositional logic would help you formulate your arguments too, before you realize the contradictions and it all breaks apart

lean lodge
#

communication is important

maiden brook
# lean lodge communication is important

But i feel like the point they were making was, under these assumptions of the system where a measurement or property “holds” vs “breaks down”, it would help to study propositional logic to learn how their framework is irrelevant to empirical measurements, given that the system will contradict these claims by being untrue

#

Being untrue empirically*

fleet knot
#

I was wrong. Completely and utterly wrong. I have wasted your time and mine. I apologize.

I cannot compare existing frameworks. I have replaced them. I have been mulling over this but I am building an ontological filter. Not a mathematical or a physical filter. I am wasting my time arguing mathematics in your terms. There is no common ground to be had since I am iterating a new system. I cannot be legible in your terms, literally.

This is a meta-mathematical system design. So to argue mathematics is moot, since this is foundational logic, epistemology of mathematics, philosophy of physics, or a mix of any and all. My point is this: your criteria for when a formula is meaningful are incomplete or broken.

Why would you trust or believe me or engage with me? I'm not asking you to. Call me stupid or a crank. I don't care. However, this has helped me understand what a productive back-and-forth is and I have not been productive for any of you. I have been too focused on proving myself in your terms that I forgot what I had been doing in the first place.

I agree I need to be more coherent and precise. I agree that I need more training and mathematical knowledge and terminology. I agree that this was incoherent in your terms. It was never meant to be rooted in your terms or zft axioms.

#

Take care. Thanks for calling me out on where I was wrong. I'm sorry for arguing from a baseless position. I could not have synthesized existing frameworks or axioms or sets onto this one.

fleet knot
#

@lean lodge if you wouldnt mind archiving this? (i hope its ok to tag u)

last ferry
#

How convenient that you are specifically wrong about the part where we would have any ability to understand your idea or prove you wrong, instead of the part where you think your idea makes any sense.

fleet knot
#

Okay.

#

Einstein was laughed at

#

Tesla was forgotten

#

Mock me, it does nothing.

#

But yes. I cannot argue in your traditional training

last ferry
#

Tesla wasn't forgotten.

fleet knot
#

Until years later

#

lol

last ferry
#

Also, was Einstein laughed at?

fleet knot
#

but i am disillusioned that i could ever explain in traditional framing and godel's "internal consistency is good enough".

#

Yes in his earlier years

last ferry
#

Also also, clowns are also laughed at.

#

And there are more clowns than there are Einstein.

fleet knot
#

Mhm. Dont think I'm good at telling jokes unfortunately

#

It's a new physics engine. Not a lot of people are going to understand it anyway

#

Which is fine by me

#

I still need to do more work anyway

fleet knot
#

❤️

#

to you, honey

#

you can't understand it

#

its okay

#

we dont always have to understand everything. life still goes on. cuddle your zfts

last ferry
#

You can't understand it either.

fleet knot
#

Actually I do

last ferry
#

Prove it.

fleet knot
#

and I can describe structural coherence

#

Okay. Lets take the first equation and pack it down bit by bit so you can see the engine parts okay?

#

These parts are new. They are not zfts

last ferry
#

...what the fuck are "zfts"?

fleet knot
#

zfc sorry. i havent ate in 24 hours and ive worked all day just now.

last ferry
#

Okay, but like. Then you can't even have an "equation".

#

You cannot use arithmetic or algebra if you're not using ZF, because arithmetic and algebra are defined in terms of ZF.

#

That was the whole point of ZFC.

fleet knot
#

Good. I actually wanted to close this discussion point so I can make a debate thread.

#

that focuses on zfc and why its incomplete

last ferry
#

...we know it's probably incomplete. We want it to be incomplete, because the alternative is inconsistent.

fleet knot
#

Well. ZFC is static. It is not dynamical. Sets shouldn't be the fundamental building blocks of mathematics. But I reject starting from sets, points, numbers, or topologies. I start from ontological filtering. I test whether a structure can persist before it qualifies as "something" to study. I'm replacing existence by axiom standards with existence by structural viability. You still can recover sets later down the line.

last ferry
#

What the fuck are you babbling about?

#

Sets shouldn't be the fundamental building blocks of mathematics.
Why the fuck not?

fleet knot
#

Because ZFCs exist timelessly and unquestionably. They're static and not dynamical. ZFCs deliberately avoids ontology and it doesn't care if sets or numbers describe the world.

#

Well, any structure used to describe reality must exist without assumption.

#

mathematical existence should be empirical, not just internally consistent.

last ferry
#

Name a "structure used to describe reality" that "exists without assumption".

unreal shard
#

so you disagree with the entire field of mathematics now because your theory doesnt work within it?

fleet knot
#

Again. More work to do. I have built up to only dimensionality. I have not even constructed a manifold. So if you want me to seriously and honestly answer that, then that's gonna take a while. I don't have all the mathematical skills and honestly is why i stopped at dimensionality

unreal shard
#

and you are going to rebuild the entire subject from scratch?

last ferry
fleet knot
# unreal shard and you are going to rebuild the entire subject from scratch?

Yeah. Well. I wasn't satisfied with the foundations of physics. Math that describes reality should be admissible under empirical ontological constraints and ZFC doesn't care about physical reality. It's just a formal logical scaffolding that may or may not be accurate. Not only should the math work, it should be real in a structural, physical sense. So yeah

#

I won't get validation from ZFC or classic math defenders ever. And I'm disillusioned with trying to.

fleet knot
#

I'm on my own unless some new common language comes along

#

I will be misunderstood, misread, and dismissed by most until I have the FULL framework, which I don't. I only have up to dimensionality.

#

And I have to prove that it explains existing phenomena better than QFT and GR

last ferry
#

"People who actually understand the topic I'm claiming to completely revolutionize keep telling me I'm wrong, so clearly I must be so much smarter than literally all of them that it's just impossible for them to understand me!"

pearl glen
#

what happened

last ferry
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Get the fuck over yourself.

pearl glen
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i just got here

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(sarcasm i know that probably wasn't towards me)

fleet knot
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I am a crank to most, HSF. I proposed a new meta-mathematical system.

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I may still be a crank

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but I'd like to prove myself wrong first at least

fleet knot
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yeah

pearl glen
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there are too many background messages so

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wait