#(Astro/Theoretical) Physics and Mathematics
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The sun never disappeared until 8.25 mins after it disappeared according to earthlings
=LAG
speed of lite slo
See, said it isnt a reliable source
its not a physical simulation
emphasis on not
it’s as if ur a god who sees all as it happens
Even what you see in US is terribly generalised
About everything follows Newtonian mechanics and not Einsteinian
(Relativistic aka)
Hehe
Gravity information infinite transmission speed
WRONG
Gravity doesnt transport information at infinite speed either
Yes it’s wrong
even that is limited by the speed of light
Information simply cannot travel faster than the speed of light
Tbh I excluded some context intentionally for reasons so it’s understationable lol
There are more atoms in the human body than the universes light year distance across
c r a z y
Observable universe to be exact
The universe is technically infinite because it is ever expanding and we don’t know what’s causing it, why it happens, and when will it end nor when did it start.
That yes
We know whats causing this exponential expansion. We just dont know how the energy type or particles look like
Dark Energy
All we know is that it counteracts gravity, gives galaxies their shape, makes it possible for SMBHs to grow rapidly by accreting baryonic matter, causes the galaxies to spin in the opposite direction of black hole spin, makes the cosmic web possible, and does not interact with light but does with antimatter in the distant universe
Thats a mouthful
then why does dark matter exist… how does it exist… what makes dark matter and dark energy….
Why it exists? Just like all matter does
It just doesnt interact with light that simple
But what it is is unknown
What it effects is known though and well studied
at CERN they are measuring antimatter particles that originate from DM interactions in space
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Since 1884, the results have been piling up in favour of the existence of dark matter. In this video, I go through some of the most notable of those r...
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A week ago the Dark Energy Survey released its long-awaited 3 years worth of data - the positions of 226 million galaxies! Along with that came a whole load of new science in 30 papers (!) - I dived into them and picked out all the highlights, plus I spoke to Dr. Alexandra Amon on the DES team about her results showing dark matter might be distr...
Is the gravitational constant, G, really a constant? Or does it change with time, or with space, or with scale in the Universe?! And if it did, could this help solve the crisis in cosmology?! Or even be an explanation for dark energy and the accelerated expansion of the universe?
A big thanks to Dr Harry Desmond, my colleague at Oxford who is a...
These are some top notch explanations on it
PBS Spacetime is more technical
https://www.youtube.com/watch?v=xZTb6sfHEX8&list=PLsPUh22kYmNA6WUmOsEEi32zi_RdSUF4i
playlist on DE&DM
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Dark energy is made from atoms?
We dont know if its made from atoms
I didnt say what
I said why
Why it exists is why normal matter exists too. Big Bang and then shit happened
Its just super strange since it doesnt interact with light
for the rest, it does interact with gravity..
Then what was before the big bang
endless dark energy until the universe decided to start at that point?
Dark energy isnt some magical form of energy
lol
After the Big Bang happened right as it expanded outward from its singularity point, then the first particles were formed
and probably dark matter and dark energy too
or some other process made it form
This is very mathematical by the way
what about before the big bang……..
That question cant be answered
Yeah too hard for me to understand cough
Unless we take a time machine
Welcome to Cosmology
Which is impossible
But we’d probably die cuz of how damn hot it was
unless v > c ==> t = t0-t' you cant simply go back in time
Unless you go by the speed of light
and it requires infinite inertia to reach c
No, faster than
so what could possibly reverse time
They’re just stars but in depression
they got no more stuff to make them happy
going faster than the speed of light which isnt possible if your initial velocity is smaller than c
if your initial speed is larger than c then you can go backward in time
since your initial vector is backwards
this all comes from Lorentz transforms
I hate when we have to mix math with astronomy 
Astronomy = math
I mean that’s how they literally found Neptune
Pluto was also figured out by math lol
and maybe Planet 9 
Whatever it is its probably there but can also not be there
space telescopes will be tasked figuring it out via LEO
Could just be a undiscovered black hole that’s affecting those asteroids gravities
Yes that can end us all
will
a black hole of about 1.3 SM is already enough to completely throw our solar system apart
even when placed outside Pluto's orbit
wait why can’t the JWST snap a pic of beyond the Kuiper belt to find planet 9 when it can find galaxy’s 13 billion light years away
Because Webb has a limited field of view
and its an NIR-MIR telescope
it can picture planets but that takes specific surveying and its not tasked for it usually
They could also just use the same connected telescopes that they used to take a picture of Sagittarius A and Messier 87 black holes
its mainly used for looking into the early universe and studying exoplanets
the EHT?
Yes
Thats a radio telescope
Not meant for planet searching
You need telescopes like Gaia and Hubble to do searches like this
Optical telescopes are best suited
I wonder when planet 9 will be discovered
if it will even be at all
Most astrophysicists point at the evidence gathered is more against it
Probably another debris belt
When we start to do space exploration beyond the solar system then we might observably find it
When do you think we even do it
another one 💀
yeah why not
Probably the next thousand years
As long as we don’t go extinct
If arent gone extinct by AGW
lol
Pluto hasnt even cleared much more than 7% of its orbit btw
If there was an entire map of the universe. Is it possible to see a gamma ray burst from that huge universes map
Is it possible to see one from a massive Universe map that spans billions of light years wide?
but those are more or less mathematical plots
thats tough
GRBs dont span lightyears in size
What about the brightness?
oh so the black hole just eats it.
yeah it accretes it
escape velocity larger than the speed of light
Just passed episode 3 💀
I can almost dream the Friedman Equations now
fgs
How even loud is a black hole colliding into another black hole
oh, makes sense
So how loud is it in gravitational waves
small expansions and contractions of space-time
Those are not sound waves, theyre transversal waves
the way we measure BH mergers nowadays is GWs
1000 light years? thats a lot, let me check rq what a hypernova is
ik what a kilonova is
How we measure GWs
oh I see
so M = 25SM
or larger
Dunno how big they get
cant answer that
if all of the kuiper belt got shooted out of the solar system, would we be in risk of disaster
Its a protection system yeah..
but unless something happens that knocks our sun out completely that doesnt happen
Video 4 already 😩
What is the highest chance that we can get thrown off the solar system
Hurts my brain
We'll much more likely be swallowed by the sun
Couldn’t a rogue planet just fly in outta nowhere and mess the solar system up
Jupiter and Saturn come in to save us here
Theyre so massive they either take the hit and stay into orbit but probably closer or they deflect it and the sun deflects it more
What if the rogue planet interrupts venus or mars’s orbit and it gets into near our orbit
But that wont happen!
or it moves mars or venus into ours
that is a no lol
no matter what direction its coming from its either deflected or itll launch the others inward
and remember it first has to get through the rest of the system
Could a huge impact from an asteroid to a rocky planet bother its orbit or if something like Phobos hits Mars
yeah easily
But Phobos hitting Mars not super significant iirc
Mars is pretty big in comparison lets say
Our Earth had a collision with a planet early on btw
Theia
now our moon (Luna)
could Pluto be destroyed if charon hits it?
Charon is almost the size of pluto right
Half the size i think
it wouldnt be destroyed but it would be pretty similar to Theia + Proto Earth
So basically it would form another moon around pluto
Theia was approx 0.5R_earth
yeah
at least most likely
Why did the 5th gas giant get ejected?
Or it wouldnt since mass would be too low
And do we know where it is?
wdym?
Didnt hear about that anywhere
nor did I read about that haha
isnt mentioned in my astrophys book (academic)
In models that simulated the solar system there was a 5th gas giant but it got ejected by jupiter or something
it was stuck in its orbit i think
around 3 billion years ago
Oh it probably wasnt a gas giant as thatd lead to a collision
i think-
Gas giants are massive
too large to be rocky and too small to be planemos
It’s known as the five planet nice model
https://www.youtube.com/watch?v=Uhy1fucSRQI
this is the best explanation I know of tbf of the origins of our solar system
Professor Stephen Hawking explains how the Earth and solar system were formed.
Into The Universe With Stephen Hawking - The Story of Everything
This video belongs to Discovery Communications and is being used for educational purposes only.
or Jumping-Jupiter*
Scenario
5th giant mass predicted to be ~10 Earth
source paper: http://arxiv.org/abs/1010.1489
We use SPH simulations with an approximate radiative cooling prescription to model evolution of a massive and large (100 AU) very young protoplanetary disc. We also model dust growth and gas-grain dynamics with a second fluid approach. It is found that the disc fragments onto a large number of 10 J...
Also @lilac crystal the model uses an addition ice-giant and not a gas-giant
(the FPNM)
The five-planet Nice model is a numerical model of the early Solar System that is a revised variation of the Nice model. It begins with five giant planets, the four that exist today plus an additional ice giant between Saturn and Uranus in a chain of mean-motion resonances.
And its also just a theory
not just a theory. A GA-
Theories are theories until proven by experiment (in physics)
since there is still too much questions and too much open on what happened its not the model
The Solar System may have begun with the giant planets in another resonance chain.
that encounters Jupiter is often ejected onto a hyperbolic orbit, Nesvorn´y (2011) and Batygin et al. (2012)
suggested that the Solar System had originally a third
ice giant planet with a mass comparable to Uranus or
Neptune. This scenario increases the probability that a
jumping-Jupiter evolution ends with four planets near
their current orbits, once the putative fifth planet is
ejected after its encounter with Jupiter.```
I think you mean this?
@lilac crystal a ga-what?
From the reference paper
and yeah again keyword "suggested"
Nesvorn´y & Vokrouhlick´y (2016) realized that, of all
possible evolutions of Neptune consistent with the fiveplanet jumping-Jupiter model, only some are consistent
with the current orbital structure of the trans-Neptunian
population. In order to get the correct inclinations of
the hot population of the Kuiper belt objects (KBO),
Nesvorn´y (2015a) found that Neptune should have migrated more that 5 au from its original resonance by
planetesimal-driven migration before that the planets
became unstable. This migration should have occurred
on a timescale τ ≥ 10 My, with the planet on a quasicircular planar orbit (eN < 0.1 and iN < 2
◦
) to avoid
excessive orbital excitation of the cold classical belt, in
the ∼42–45 au region. The planetary instability should
have happened when Neptune was already at 28 au
(Nesvorn´y 2015b) in order to explain the so-called Kernel of the cold Kuiper-belt (a clump of objects around
44 au; (Petit et al. 2011)). In this case the Kernel would
have formed from objects transported outwards in the
2:1 MMR with Neptune and released from the resonance
when Neptune’s orbit had a jump of about 0.5 au in
semimajor axis, due to a close encounter with another
planet. Finally, in order to reproduce the observed
ratio between the resonant and non-resonant Kuiper
belt populations, Nesvorn´y & Vokrouhlick´y (2016) concluded that the planetesimal-driven migration of Neptune should have been characterized by several small
amplitude jumps, as those caused by a population of
1,000–4,000 Pluto-size objects in the disk.```
Still quite some uncertainty
Hmm
If you dont know how to do the math of at least how to follow it then I suggest to be careful with claims wheter or not its correct 😉
These papers are full of jargon and take quite a lot of work to summarise the findings and find assumptions that should or shouldnt have been made
what were u gonna call it
Game theory
Oh come on
💀
not much actually
He for real is a madlad and genius in one
Casually goes over the physics of games only to come to the conclusion that the games are deadly a f
😂
and he empiracally proved that the MC earth is flat
universe sandbox 
yeah hed probably conclude that US has messed up physics too
The graph shows so many individual positions that it easily looks like a planet was in multiple locations at once many many times lol
Thats why you pay attention in mathematics classes and stuff
statplots are a lot of work to read before you know the trick
eventually when you know the trick theyre easy
(Took me like a year)
I wonder if they will add relativistic gravity to US as a toggleable option maybe
I dont think theyll bother
would ruin the fun for most people
and arent there mods or smth
performance ish u’s
btw this paper is very interesting ]
for context: Einstein couldve gotten the Nobel Prize for this but ofc "good" ole Leonnard refused and called it a shame for Prussian science and physics
This paper demonstrates that L/c^2 = mass
with L being the Energy e.g Lagrangian
Now ik why I can never predict eclipses in usx
predicting them uses general relativity
even for me thats still a step too high to really get into
Yes I technically got a book on it... but...
I need to get my basis in CM, QM, and SR first
and thats a lot of work
Also I think @lilac crystal was maybe referring to MatPat’s Game Theory videos
Yeah as thats how MatPat ends
Austin is always like "Dear {Developer}, It's me, AUSTIN"
and ends with "Sincerely, Austin"
Ngl Austin is chad
Science vids > MatPat vids ngl
This is E = mc^2 folks
👏 einstein fricken nailed it
L/c^2 = m
so mv^2/2
👀
We are told that wikipedia is a horrible source and i think it’s bc for many theories they just take the average approximations and state them
Wikipedia should always be taken with a gram of salt
But some articles are just papers on their own and reliable
You just gotta know how to differentiate them
Mostly yeah
Although I do admit I did use one or two wikipedia stuffs for my own literature review but the rest was all papers
Researchgate is a goldmine for real
and RAS (Royal Astronomical Society)
For context: I had 4 pages full of literature references
Does gravity info lag prevent stupidly fast lunar orbital precessions seen in usx
there is no info "lag"
its just Univ Sandbox uses absurd physics
Gravity also isnt information on its own but it can affect it
Speed of light limit
Ok but I’ve seen videos of the sun disappearing and the curvature of spacetime at earth needing time to reflect the change
Thats cause space and time are the same
space = time and time = space
this lil friend here
and also what youve seen is a 3d representation of a 2d spacetime
in reality spacetime is 4D
Its hard to comprehend if not impossible
So if you use a gravity well representation of it then the areas that know of the suns deletion will be shown as a flat circle expanding outwards at lightspeed (no gravitational potential from the sun but not referring to other sources of gravity in the universe)
u mean 2d rep. of 3d spacetime right
2d rep of 3d rep of 4d
?
Its confusing lets keep it at that
And space-time curvature adjusts at the same speed a star collapses for example
So does gravity with the mass present which causes this curvature
2d because it's a plane spacetime model, and 3d because it's warped in such diagrams
ok
did i get it?
2D as in you see Space-time as a x,y plane and 3D when curvature is added e.g the z plane
Yess👍
https://www.youtube.com/watch?v=RF3P1W1vaYs
Ill explain a bit on this AI and the equation tomorrow, alright
The Event Horizon Telescope released the first ever image of a black hole in 2019. A telescope that combines multiple radio dishes across the entire Earth to observe tiny pieces of the overall image, then fills in the remaining gaps using machine learning (a branch of artificial intelligence, AI). This month the image has had an upgrade ("can yo...
👀
why did I write this out
this is the equation used for telescope size
(multiply by D and then divide by theta)
4 votes and 4 comments so far on Reddit
I googled simulating the solar system with relativity
So when you have a system of randomly placed objects of similar masses (i.e. no clear dominator(s)), then they will produce 2 or 3 big things and if there’s 3 then usually either one is ejected/disowned by the other two or there’s a merger and you end up with 2; and there are times where you end up with 1 big thing orbited by smaller ones, and expect to usually see some or many ejected bodies (lower mass = easier to eject)
Wdym with 2 or 3 big things
Thats vague
Yes they all have their own gravitational pit but why are you talking about randomly placed m0 = mi systems
And if theres all of an equal mass then they just dont attract each other neither repell
Only if one weighs more the system gains traction and leaves the stable phase
Say m0 = m1 = m2 < m3
Technically R_munu is also constant
If you get equal masses everywhere the system just wont get going. Its fully stable
If theres slight variations in the volumes occupied though and the said forces then itll get going
A Neutron star of say M_NS = 2.3M_sun comes in a system of 2.3SM twin stars of roughly equal size and density (roughly to get it moving) then youll see some interesting events happening
First the stars deorbit due to the Neutron Star's insane gravitational pull with v_esc at 70% the speed of light and greater but smaller than the speed of light
If its equal mass black holes then things change but thats a very different field of astrophysics
If its planetary systems expect the largest of the masses to be dominant
It’s my lifelong experience with universe sandbox
Bruh
Once again its not a realistic simulator
Unless the system always had something of different size and mass itll end up stable
truetrue
What if it’s a bunch of earths floating around in random or non random positions?
Get going?
@amber nimbus ru busy now just wondering
Get going means in motion
As to why see my explanation above using GR
Maybe u misunderstood
You said equal masses and without context about size so I assumed sizes are equal
Which means theres an equillibrium
like 100 earths in an area the size of a giant planet moon system
Yeh we need them to be like ghosts
Say throw 100 earths in a solar system scale
With the sun is the center
And no other planets or dwarfs or asteroids
Aka galaxy collision
What about no sun
Sun be overwhelmingly dominant while oligarchs fight for the orbit region
Then like theyre moving out wherever the motion vector is
See it as small balls on a fabric spun over a bowl
What happens when we let 100 balls go nuts on there when we drop them into random positions but the fabric is the size of an airplane hangar
Say the balls can merge
x change angular momentum
For with sun
Without after collisions youll already see changes in L
But no sun then wide area allows them not to touch
Yes
And when they do and your region is finite
Not tooo often
Theyll pull in more
Each collision already increases your chance of a hit
You cannot leave out relativity here
Wasn’t specific enough
No matter what. No sun yes sun whatever
Collisions will eventually pull in more
Theres no odds each is gonna head away from each other without crossing each other
There will always be a collision
Info lag is one of the GR things
Info goes at the speed of light.
Info lag isnt a twrm
Doppler effect is what you mean
Each object thinks the other objects are in their past positions
You can have redshift due to gravity
Thats not really true
Oh?
It just takes time before stuff from light and so reaches us. But with gravity stuff gets strange
Its not lag its just redshift or blueshift
You know the sound of a car or ambulance racing by
Gets shorter then longer
In wavelength
As it comes towards you the sound is high pitched but as it passes away its low pitched
More of the other bodies right, assuming empty universe?
That also happens with gravity and expansion of the universe
The universe cant be empty though
Ooh Doppler effect
It looks like you are still in the phae of having a vague idea about the physics but not understanding the underlying science yet
Correct?
Maybe? Idk the maths stuff
Fun nitbit: my pfp is a penrose diagram
Thats a 3d representation of space-time
Its the mathematical description of the effects general relativity has on special relativity
Each object in space has its own space-time diagram
But back to the point, these planets will eventually collide no matter what. Maybe some escape but there will defo be a number of hits
I sadly dont have the coding scale to program with position matrices yet in R^n
But yeah collisions will happen
The chance that 0 positions cross is low
Imagine the odds that everything is exactly pointed away from each other
“dopplered” gravity waves will pull in more even more aggressively
Gravity waves?
Gravitational Waves dont pull
They ripple outward like waves in water
Also I didn’t mean that I wanted no collisions
Like you are very vague with what you want
One time its a system in equillibrium other time you add inertia
You go 180° in minutes
They define how objects are effected by others

No
I just so happen to have read into this field a lot as I might want to work at VIRGO one day
I got an entire book on it
So what happens with gravitational waves is that when two massive objects collide in space. Say two black holes. The changes in the curvature of space-time fabric is so big and so strong that space-time literally starts to deform into waves that radiate outward.
@amber nimbus If the waves are compressed towards you, you will perceive it as changing its position faster that if neutral or decompressed?
These waves are small changes in the space-like coordinate of spacetime and the time-like coordinate. We need lasers to find them.
It be the object with mass
ohh
It will always move to or away from you. The moment it hits you the signal dips into the 0 as dependent coord.
I also just so happen to have read a paper from LIGO on GWs
Bwhy need lasers?
As they are the only thing sensitive enough
Remember how light is affected by even minor changes in gravity
General relativity!
Radial velocity never zero
Gravitational lensing
Thats what happens with light yeah
But in this case light takes slightly longer or shorter as the sensors are moved slightly to or from each other
So the entire problem you postulated is superrr complex
If you want to know what exactly happens
Like the bottle in water seeing things move back and forth because that’s what it’s doing relative to them
Yes with waves
Longitudal and transversal
Yes water waves are both long and trans
They have a change in height but also a displacement alongside their line of motion
Which is which kind of movement?
i can google this but nahh
Longitudal is movement direction is equal to expansion direction
Transversal means movement direction and expansion director are perpendicular
Or whatever a 90° angle is in english
Truth: Universe Sandbox is not realistic
Knows truth: is disappointed
Knowsn’t truth: is misled
@amber nimbus
Yeah true
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oh wow lol
🤔
if you wonder why im not active rn, taking a break from learning all day
tomorrow morning ill hyper focus and then I got a final exam
Occording to dee uder interess liss, thiss is not thuh mohst acteev for um…
(when you meme it lol)
Does the moon’s argument of orbital plane inclination relative to the ecliptic match Earth’s argument of obliquity?
Yeah nvm
And in simple terms. As this is too much jargon in one sentence
is the moons orbit tilt pointed in the same direction as earths axial tilt
Nope
BREAKING NEWS
The one and only famous Feynman Lectures are now available for everyone to read for free on the internet.
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How off is it?
Prolly not a whole lot right
I dont know but the moon is not tilted the same as Earth nor is its orbit aligned
otherwise we wouldnt see variable solar eclipses
The Moon's orbit is tilted about 5 degrees compared to the plane of Earth's orbit around the Sun
via NASA
So universe sandbox isn’t completely wrong about the moon having rapid longitude of the ascending node precession then
Although the whole cycle probably takes hundreds of years
The moon always appears higher in winter and lower in summer in the non-equatorial region latitudes
Has to do with Earth's tilt either pointing to or away from the sun and of course the moon doesnt follow a perfect orbit due to GR
And even the equator sees the moon change position from high to low
See Nasa's figure
Its tilt is as opposed to the equator
Not as much, but yes
thats the general inclinitation that happens tere
And the moon keeps itself almost in line with the ecliptic
In universe sandbox I can see that the moon’s tilt relative to the solar system invariable plane is basically zero
So with GR, what are the moon’s orbital cycles like
I cant do that out of my head but they also varies a lot but that takes a lot of time
More complicated that universe sandbox eh?
More complicated than universe sandbox eh?
a lot
Look up "mercury orbit variations"
then you get where the slight variation comes from
And before i do that imma guess its because of the sun not being a point source and mostly because of “lag”
Nope its not because of that
Its actually a neat result of Newton's law's of gravity and centripedal forces
See this?
This is what all planetal orbits look like given long enough time has elapsed
for mercury it is rapid and for a lot of moons too
How rapid
Each few years the orbit starts to change
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@flint cedar this channel exists btw
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well, forum
yoo thanks, i’ll watch both of these vids tomorrow in car. good night
I- I’m not watching this.
Its Penrose diagrams. Very technical haha
Time becomes space, so what time is it in that space. Or what does space even equal if time becomes it.
The video explains it well but you wont follow it if you dont know the geometry of causality
I only know the Pythagorean Theorem that’s it 😭
Derivatives, limits, ingrals
Idk american system
I got them in the past four years
Integrals a year ago
In our spacetime: “Where were you at this certain time?”
In black hole spacetime: “When were you at this certain space?”
You can think of changing motion as always being one thing, acceleration, no matter the direction
And always moving forwards in time, never backwards
@amber nimbus I watched it
yeah exactly
its just geometry
@amber nimbus how well agreed upon is the evolutionary model of earth’s future
Not much against the swallowed by red giant really
Death of biosphere?
Death obv
Earth would never manage to hold off against the immense forces the sun will just pull Earth in
Think of it. Earth's orbit wont change fast enough to compensate
Have you heard of solar forcing?
I am not familiar with a lot of terms but I am with the physics
Earth becoming moist greenhouse
Yeah Earth wont become better than it is when the sun dies
Remember that if your sigma T^4 factor increases your net earth temp will go up too
Oxygen and co2 levels fall, most common photosynthetic process become not possible first, with only desert-type plants remaining until they’re dead too
And general radiative forcing, the fancy term, is only good up to a certain degree
After a certain I it gets too much
Also what does it matter if the Earth crashes into the sun anyway
I’m interested in what happens before that too : )
So C3 photosynthesis ceases first, and then the C4 and CAM photosynthesis
Id say figure out the pace of the sun's expansion first
Then figure out the luminosity and intensity changes and then figure out what happens
@amber nimbus Also from my understanding the runaway greenhouse effect is caused by the fact that Earth looses plate tectonics, and its internal heat builds until you get a global resurfacing event that pollutes the atmosphere with the planet’s carbon reserves, and you get a Venus
does it ping you if i edit in the mention
It pings yes and no
Runaway greenhouse isnt only plate tectonics
It can also be caused by excess greenhouse gasses
Which we see now
If we pass 2.5°C worldwide we surpass tipping points and runaway greenhouse effect can occur
Also Venus still got plate tectonics lol
And tbf a failing of plate tectonics could cool the Earth rather than heat it up. But im not a geologist
Mass volcanism releases excess greenhouse gases
No push notification, but only mention yes?
Also removing ocean through evaporation decreases natural oceanic carbon capture, so co2 from volcanoes keeps building up in the atmosphere
I dunno how long it will take for the tectonic plates to lock up after that
And you will still get hotspot volcanism
that would cool
Oh right I forgot about volcanic winters
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The weird rules of quantum mechanics l...
new vid drop
@amber nimbus How much of a difference is there when simulating our solar system with and without relativity?
Quite some. Especially for Mercury
mmm tidal heating
This is not related to the topic of this forum so I shall proceed to remove this.
What are the params here
I know Rs and G
Unless its another Rs
C = 0.1, þis is just a rough estimate based off of various papers suggesting C values of anywhere from 0.05 to 0.5 for Io
Rₛ = 4375800; approximate radius of satellite, in meters
eₛ = 0.00538675173; eccentricity of satellite
n = mean orbital motion, given by sqrt(GMₚ/a³), where
Mₚ = 1075(5.972 * 10²⁴); mass of primary, in kilograms
a = 1020646000; semi-major axis of secondary, in meters
Thx
cap
Please keep this to topic thanks.
Guess the equation:
a^2 + b^2 = c^2
Pythagorean theroem
Now proof it using the square inside a square method
h- huh.
How do I prove an equation 
this stuff
I remember my math teacher casually proving it casually in 2 minutes in class
I need to find. 4 hypotenuses, to find the main hypotenuse.
That’s the thing I don’t have any numbers to start off 💀
what this says is that the area of the square a PLUS the area of square b is the same as the area of square c
What do I even do and how do I even start that 🥲
You know the area of a triangle?
i forgor
(base*height)/2 = A
so ab/2 = A
so we got to figure out whats the area of c
But we do know its a square
so get the 2 numbers. Put them into the formula, divide by 2 and there is your area. Do it on the same side of the square and there
we know that the triangles all got an area of ab/2 right
ye
You were talking about aerosols right
hypervolume of a hypercone is 1/4 x volume of sphere “base” x hyperheight
partially
SO4 is a massive cooler
Yes the tetraëder that reflects sunlight due to it's Lewis structure
The higher the ppb SO4 the more it cools
The higher the ppm H2O and CO2 the warmer
higher ppb CH4 is also warmer
Note how these latter three share a similar structure and polarity
They all have covalent bonds producing full valence shells
Methane the very symmetrical tetrahedron
CH4 and SO4 have a similar geomtric structure but very different effects as sulfuroxides cool and carbonoxides warm
Just as symmetric as SO4 lol
Its simple physical chemistry tbh
What is it about the elements’ Lewis structures?
These geomtric shapes come from those yes
the number of surrounding atoms determines the angles
so 360°/n
Say we got a number of 2 then its 360/2 = 180°
Although water does a thing
Angle differerent tho
However! O has extra free electrons
So H2O becomes of the same shape as SO4
___O
/
H H
y
it increases n
and the angles change as 360°/n ish
I learned about conservation of Lepton Number today as well as Neutrino's, Anti Neutrino's and Strange Quarks
😄
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Quantum mechanics gets weirder as you go to smaller sizes an...
my brain lost 25% of its cells reading that
how about anti protons and anti electrons
wtf is that
the opposite particles of the normal particles
the anti proton has negative charge
anti electron has positive charge
its beyond what youve got btw
This is way way advanced into physics
you need to know your quantum mechanics quite well for this
i don't know any quantum mechanics
💀
im losing brain cells as this conversation goes on
haha Qunatum Mechanics isnt magic tho
its still logical
just a lot of proabilbility
https://www.youtube.com/watch?v=zZqxbwl3Dno
Currently going through this
Learn a simple explanation of Gauss Divergence Theorem in just 8 minutes!
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Video content:
00:00 Equation...
ok
pretty pog and logical
i lost brain cells looking at that thumbnail
i don't think I have enough braincells to go through that entire video
for the vector field
this is calc 2 and above
if not calc 3
Learn the time (in)dependent Schrodinger equation and what the wave function is.
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In this quantum mechanics lecture you will learn the Schrodinger equ...
Ill go through this later
ok
a thumbnail i didn't lose brain cells on
i clicked on the video oops
i need some brain cells to finish my history homework
Quantum Chromodynamics moment
lost brain cells
Also can you keep stuff serious here. Thanks.
np
NUCLEAR PHYSICS?? WHACHU PLANNIN ALEX 
Note the use of the mass notation in MeV c^-2
So im now following a lecture about Relativistic Cosmology
🥲
and yes this is an actual lecture I gotta follow for my uni application
@opal barn this is a serious slide
i hate that i can read some 30-40% of this off of 3 years of german /lh
@amber nimbus can you tell us more about entropy corrections and that energy parameters
Yeah so entropy is noted as delta S >= 1
And for energy specifically in a TC application we need to define energy parameters first
Say we got E(T, z, t)
This temperature factor means we need to perform corrections for the loss of energy
For TCs the Heat Efficiency measure is one way to correct. Using symmetry laws
@unique dragon following me?
Wait let me read, just finished a snack
Can you elaborate those symmetry laws?
Hm let me think as its a result of the functions you get
Yeah so your function has a peak on the dependent variable axis
Hmmm so basically getting the heat from all the equations ranging from thermodynamics, vorticity, and stuff, and then substituting it to compute entropy?
It then in one form or another will flow towards a critical point on the independent axis
Yes
Exactly
Ooh, I see
The paper from emanuel in #852618974071619604 has a bit on entropy
Otherwise check my own school research paper which also discusses some entropy params in TCs briefly
And I think the thermo-mechanical nature of vorticities make it make sense that eddies are entropic, as well as why jets tend to follow an average pattern after being exceptionally weak or strong
Since to be honest, science education in my country is not that great, can I have your research slides or paper first before digging into Emanuel's
You know why a jet gets more positively tilted during interaction with a powerful TC?
You feed more energy in than goes out
Why?
Meaning less entropy
in that case delta S nears 1
At least on the jet yes, entropy increases elsewhere
Exactly
Net entropy always increases
Our cells also experience net positive entropy
But, if TCs transfer energy to the subtropical or whatever jet, how did we say the entropy has increased, due to perishng of the storm and the subsidence of the tropics, if applicable?
I think this should help you out for a bit
feel free to look in my references as I got plenty of stuff there
The textboox example of entropy increase in fluod mechanics is an idealistic two vortex model when if you force it to mix by spinning they will eventually divide into multiple, smaller scale vortices until the viscosity increases
this bugger here you see? Efficiency
Yeah familiar on that
But how is heat ratio and temperature ratio equal
its not entirely equal thats why you need more paramters
here is an example of spontaneous symmetry
@unique dragon here is the entropy part you see being accounted for TCs
How is Clausius-Clapeyron equation derived?
oh that one at the start of my paper
Oof thats a tough question
Looks to be the derivative of the temperature over atmospheric pressure
So I assume its something like T(a2-a1)×ln(p)×(1/Lv) or so
Ill have to look into it
a2 and a1 are just scale factors
Tb is a constant
Let me read the mathematics of WISHE tomorrow, I'm reading the CAPE and CIN theory carefully
Oh I think I know where the CCE comes from
Just thought about the derivation of the hubble constant lmao
Same math apply
Just derivatives
Is that the differential equation in which the second derivative is divided by its 'virgin' counterpart
Civilization A measures an angle of 70 degrees between the directions to B and C. Civilization B measures an angle of 82 degrees between the directions to A and C. And Civilization C measures an angle of 25 degrees between the directions to A and B.
If we assume that A, B, and C know the Einstein equation and believe that the cosmological constant Λ is equal to zero, what will A, B, and C conclude?
Question 2 options:
A)
The density of the Universe is higher than the critical density
B)
The Universe will always continue to expand
C)
The Universe will collapse again
D)
At least one of the measurements is incorrect```
From my matching for astronomy
@honest crypt this is what cosmology is like ^
Relativistic Cosmology at least
accidentally redireved a Lorentz transformation for redshift
and I ended up being wrong in my estimate somehow
I think I did stuff that wasnt needed
Hell nah now astronomic mathematics got word problems in there 💀
Happy 192nd Birthday to James C. Maxwell, one of the most brilliant minds in the history of science.
James Clerk Maxwell was a Scottish physicist, renowned for his pioneering work in the field of electromagnetism. His most significant contribution was the formulation of the…
3086
759
Happy bd maxwell
Deriving the wave equation for heat from it is pretty simple
Just use like two or three of his axioms
Bro could’ve met Abe Lincoln
When the theoretical physicist Leonard Susskind encountered a head-scratching paradox about black holes, he turned to an unexpected place: computer science. In nature, most self-contained systems eventually reach thermodynamic equilibrium ... but not black holes. The interior volume of a black hole appears to forever expand without limit. But wh...
Angles don’t add up to 180° 🤔
From my understanding:
flat = flat
closed = elliptical
open = parabolic/hyperbolic
Closed is just any circular closed shape
In cosmology we assume spherical
Flat = 3d flat
Open = hyperbolic
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In this month's Night Sky News we're chatting about a new study claiming Betelgeuse will be going supernova in the next few DECADES, JWST’s discovery of water on a rare type of comet, JWST’s study of the plume...
curious on the study
doubt
Its from a best fit model appearantly. Its not super unreliable but there is a lot of uncertainty that goes with those
As Dr. Smethurst stated, the only thing we can do is wait and see for the pattern to either confirm or disprove the model.
Oh yeah instead of going doubt mode immediatly its always good to look through the study ofc
Dr. Smethurst is very careful as well with claims made by studies. She is a lead scientist in her field (AGNs and SMBHs and their relation to galaxy death and birth; quenching) and science communicator after all haha
And yeah its a model after all
A best fit one to be precise and that on its own tells enough
did read through it and i have to say i was
not very convinced at all; for one, measuring pulsations of betelgeuse -- heck, measuring about anything of that star -- is far from straightforward.
for another, making the leap from that its observed behavior may fit models indicating it has entered its carbon phase to "a good candidate for the next galactic supernova" based off of an assumption of ~1 supernova in the milky way per century is... something.
i have to be skeptical of a paper which alludes to such a bold, somewhat unexpected, and importantly -- media attention-grabbing -- claim; we saw something similar with a paper suggesting a contact binary would merge within a few years at time of publication, only to be demonstrated that its methodology was erroneous
such a claim should be taken with extreme caution and scrutiny
(the aforementioned paper proposing a contact binary merger was also plagued by errors in data measurements/data input, which could very much also plague the carbon-burning paper)
I did say Smethurst explained the paper and told about extreme caution.
Its not a media-grabbing claim but its a best-fit model and we all know how error prone those are.
7:36 onward is the paper analysis
Not that Id trust the claim I dont. But thats exactly what is explained in the video too as to why you have to be so careful
claiming that betelgeuse "should currently be in a late phase (or near the end) of the core carbon burning. After carbon is exhausted in the core, a core-collapse
leading to a supernova explosion is expected in a few tens years" is an attention-grabbing claim
if it were true then its exciting news but when it turns out to be wrong no surprises.
Its a proper conclusion from their model that the media then goes on haul with tbf
But few ten is not right
They contradict their own model there 
Cause iirc the model shows between 10^1 and 10^4 years or smth
i'm not terribly familiar with stellar evolution for giant stars, but i'm guessing a few decades following carbon burning is taken from consensus of how long each phase lasts for a star of betelgeuses's,,, suspected mass
Yeah its the relationship between net energy from burning vs core mass
Once the net energy output is lower than the net energy input the star quickly tries to fuse even heavier elements but fails and expands rapidly before collapse
https://youtu.be/-335gUOvdhA
Probably one of the most inspiring and interesting lectures I have ever watched
Jocelyn Bell Burnell, winner of the 2018 Special Breakthrough Prize in Fundamental Physics, delivered a special talk at Perimeter Institute about her 1967 discovery of pulsars and her remarkable career in physics.
Download free posters commemorating Bell Burnell and other pioneering women of physics: https://insidetheperimeter.ca/freeposters
...
https://youtu.be/YR-l0b2iYy0
On the topic of stars
In her March 7 public lecture at Perimeter Institute, Emily Levesque discusses the history of stellar astronomy, present-day observing techniques and exciting new discoveries, and explores some of the most puzzling and bizarre objects being studied by astronomers today.
Perimeter Institute (charitable registration number 88981 4323 RR0001) is t...
Its just so fascinating
Kind of got curious on the proton decay model and the sigma particle decay ngl
Hm what if I return to this nyehehehe

This eq is so simple appearantly
It is
Its the same as if the chance is 60% pass and 40% fail
Then P k of n is for 40% of the 100%
corrrrrect
Thats linear algebra actually
Say k = 3
And n = 4
Then we get
P = (4×3×2×1)/((3×2×1)×(4-3)×1)
That is 24/(6×1×1)
24/6 = 4
So 4×p^3 × (1-p)^(4-3) = 4p³(1-p) = P(k of n)
So 4p³ - 4p⁴ = P
Or just p²(4p - 4p²) = P
Kinda forgot what p was again
Ill figure that out tomorrow again
So p = ±sqrt P v 4p²-4p+P = 0
So lets see what D gives us
D = b² - 4ac
16-4×1 = 12
Ayyy thats 2sqrt3
So (4±2sqrt3)/8 = p
And substituting for p = ±sqrt P gives us
4sqrtP - 4P = P
Now we can solve for P and find p
So 4sqrtP - 5P = 0
So 16P - 25P² = 0
25P² = 16P
Divide by P on both sides
25P = 16
P = 25/16
Now we can fill in again and we get what p is
n! × p^k × (1-p)^(n-k) should be equal to 25
Now its just simple math
@lilac crystal enioy

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Bra-Ket Notation: Powerful tool in quantum mechanics, representing vectors (kets) and their duals (bras). We can use it for pr...
This is much more fun
Column and row matrices

Its not hard actually
It all boils down to this notation
Too lazy to work out the matrices in LaTex but by hand I can. Ill do that for 3 values of Psi and for 3 values of Phi
damn
The moment a massive star actually force-fuses iron is what triggers a rapid core collapse from my understanding
I realised I made a mistake here in the notation
that is correct
the moment is fuses iron it uses more energy than it gains
hence the collapse
here is the proper worked out version
Any fans of matrices here?
voila
the bra is a row matrix and the ket is a regular matrix
now all thats left to do is this
This is gonna be a pain to write in LaTex
@opal barn I heard you like meth
Which then causes uncontrolled rapid fusion of the outer layers that blows the star apart
Also the star is briefly able to produce atomic number > 26 elements
The star itself is only briefly capable of fusing iron into heavier elements but that doesnt last long
If it doesn’t happen the star can’t really explode
Itd just cool
Quickly losing its energy keeping fusion going
Below cold fusion and fusion stops
I mean like a thermonuclear fusion bomb
Thats different
@amber nimbus outer layers
The outer layers are not like a thermonuclear bomb either
very different situations
a thermonuclear bomb uses the crazy amount of KE produced by fission to make the fusion possible and that releases 1% of its energy in the form of a bomb
in a star nearly all of its energy gets converted into the plasma and then gravity does the fusion besides the extreme temperatures making it possible
@keen igloo I present to you. Nightmares to write in LaTex 
oop that psi there should be a sub
nyehehehe oops
So I did some math. Obviously made some assumptions for the sakes of simplicity. The actual derivation is much more complex
@hankschannel you’re right, us astrophysicists do know something 😉 and until tomorrow we’re all 🤐 BUT we can do some speculating. If your guess is right about this being a detection of light years long gravitational waves using the timing of light pulses from pulsars (😏) then what could cause these gravitational waves? Supermassive black hole me...
They will become very hot and pressurized, and fusing things like silicon, magnesium, neon, oxygen, carbon, helium, and hydrogen releases nucleonic binding energy
that is not the same as a thermonuclear bomb still
I must’ve gotten terms wrong then
very wrong haha
what happens inside a thermonuclear bomb is very much like what happens in stars
That is the right way around
And stars when they shed are much more explosive than any bomb
But same concept?
In documentaries, the core implodes and the outer layers “bounce off” the collapsed core (not so detailed)
in stars you mean?
The star sheds its outer layers in a final attempt to remain stable
but it isnt enough and it collapses
Also it’s quite interesting that a contracting star is able to produce speeds comparable to c
Some gas can be launched away at speeds at a significant fraction of c ye
Will deliver a translation soon
Relativity
@flint cedar as its in Dutch you can already take a read if you like lol
amazing, thanks
I recently watched stuff about the misconception of Titan being habitable during the peak(s) of the sun’s red giant phase(s)
Titan has no oxygen
So even if it could be habitable during the sun’s red giant phase, there wouldn’t be anything oxygen (only if it’s produced by whatever)
And it doesn’t really have a magnetic field
Though Saturn’s one protects it
If life did appear, it’d only last for an incredibly short time in astronomical terms at 100 million years
In which the life there might not evolve enough to be intelligent in that span, in fact they might just be single-celled organisms for the entire span Titan has habitable life
Since it takes these cells 500 million years to finally start evolving
So life on Titan if they develop would stay as single-celled organisms until these microscopic guys meet their fate when the Sun eventually becomes a white dwarf after 5 billion years
Wait.
Does the 2nd burst of a star when it gets bigger even more begin with the first peak then shrinking of the star then bursting again into its bigger 2nd peak or does it stay at its first peak size before getting bigger?
Sun’s first red giant (RGB) phase will roast the Saturn system to a few hundred°C
There is the Red Clump phase of stable helium burning
Increasement of solar wind strenght will push field back
Rn titan spends 95% of its time in saturns magnetosphere
@split wolf @unique dragon gonna quickly get you guys to talk in here before kacper gets mad hehe
hell no
K > C > F
I am a certified imperial system hater
SI ftw
K>F>C
american moment
just like F
also celsius is quite arbitrary
Modern definition is actually based on physical stuff
arbitrary in what sense?
its origin was indeed arbitrary but so was Fahrenheit if not more
Also who even uses inHg nowadays if we got pascal for example
I think most initial scale definitions were arbitrary
arbitrary in the sense that calibrating the scale requires you to go to a place with precisely the right pressure and boil ultrapure water
before 2019 ofc
its only with modern equipment that we have reached a scientific definition of the scales
C was just made for convenience
but back in those days it was not possible
It makes way easier calculating
yea
and appearantly it had a coincedental nice conversion with Kelvin
Whilst it had a difficult one for F
Like the meter is also quite arbritary if you look at it at a glance
Rankine is easy too
1m = 100cm
1000m = 1km
its only F which is fucked up
Rankine is based on radioactive decay
Rankine is also pretty pog but its a lot more complex than F tho
still F corresponds better to subjective experience
cold and die is 0F
hot and die is 100F
only because you grew up with it
yep
