How does a theory become generally accepted by the community?

[lyric plaza]

What processes does a theory undergo to become generally accepted, and what criteria must it meet for it to become generally accepted?

[coral solstice]

Peer review

[urban axle]

in what sense?

formally speaking, a theory is a set of statements

it's too much to type out, it depends on many factors
the journal you're submitting to
the conjecture(s) you're addressing
citations about similar works

it is very very rare that someone comes up with a completely new technique to solve some problem that doesn't somehow build on earlier works

naturally, first and foremost your proofs must be correct