Timeline for Poincaré Conjecture and the Shape of the Universe
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 29, 2020 at 10:58 | comment | added | Nikolai Zaitsev | Ben, Takahiro - slowly I got into this subject and agree with your points. Black hole singularity violates homeomorphism. Connection between black holes and quantum mechanics becomes more interesting if to consider virtual black holes pointed out by Hawking: en.m.wikipedia.org/wiki/Virtual_black_hole | |
| Nov 26, 2017 at 22:14 | comment | added | Nikolai Zaitsev | I did not assume that. However, intuitively I see that homeomorphic transformation should preserve all conservation laws - energy, momentum, space, rotation etc. | |
| Jan 22, 2017 at 19:15 | comment | added | Takahiro Waki | It doen't mean that GR must be standard. | |
| Jan 15, 2017 at 21:34 | comment | added | Nikolai Zaitsev | I belong to high energy physics and, therefore, you can consider me as a vulgar mathematician. However, want to ask two questions: did we have 1) quantum mechanics and 2) black holes at the state of T=0 (BigBang) ? | |
| Jan 15, 2017 at 17:12 | comment | added | user21349 | If the Universe was born from a single 1-connected point and all the following expansion has no singularities, i.e. can be considered as homeomorphic transformation, then the Universe has no reason to become n-connected. Singularities in GR do not have a well-defined geometry, topology, or dimensionality, and they are not point-sets, so it doesn't make sense to talk about the big bang as "a single 1-connected point." Your description of the conditions for the topology to remain unchanged also doesn't sound right to me. See arxiv.org/abs/gr-qc/9406053 . | |
| Jan 15, 2017 at 17:08 | comment | added | user21349 | The Maldacena-Susskind paper appears to have nothing to do with what you're saying. It's about a cosmology containing an Einstein-Rosen bridge. It's also about quantum gravity, not classical gravity. | |
| Jan 15, 2017 at 11:00 | history | edited | Nikolai Zaitsev | CC BY-SA 3.0 |
added 196 characters in body
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| Jan 15, 2017 at 0:26 | review | Late answers | |||
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| Jan 15, 2017 at 0:14 | review | First posts | |||
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| Jan 15, 2017 at 0:10 | history | answered | Nikolai Zaitsev | CC BY-SA 3.0 |