(Pseudo-)Riemannian Geometry: Difference between revisions

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|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1413561365545947137
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=But in standard Relativity theory as an effective theory, I don’t think about FTL. Sorry.
|thread=
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1413552255077208066
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=Physics’ Overton Window.
We can talk about CRAZY stuff that’s irrelevant to our lives & never progresses: Boltzmann Brains, Many Worlds, String Theory Unification, AdS, Super-partners, etc.
[[Anything But Physics|We can’t talk about anything that COULD suddenly change everything.]] UAP, other TOEs, etc
|timestamp=5:34 PM · Jul 9, 2021
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|nameurl=https://x.com/EricRWeinstein/status/1413554336068632576
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=My point isn’t at all that low probability topics are likely to change everything. It’s that we feel *safe* knowing certain crazy ideas always seem to lead nowhere. But we feel unsafe when we don’t know if what we’re looking at *could* surprise us by suddenly changing our world.
|timestamp=5:43 PM · Jul 9, 2021
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|name=Eric Weinstein
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|username=EricRWeinstein
|content=An example: In GU, relativity theory is recovered from the Observerse which is constructed around two separate spaces X and Y. Einstein’s Spacetime (a signature (1,3) 4-manifold with [[(Pseudo-)Riemannian Geometry|pseudo Riemannian metric]]) is recovered from observations of Y by X.
|timestamp=6:11 PM · Jul 9, 2021
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|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1413561363629105152
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=Another example. Some see spacetime as the commutative limit of a non-commutative manifold. That would be beyond relativity.
Others see topology changing operators that allow agents to change spacetime topologically. Again that would be beyond the usual relativity theory.
|timestamp=6:11 PM · Jul 9, 2021
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|timestamp=6:11 PM · Jul 9, 2021
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