Timeline for Which knots can appear as a space-time cut/slice of an open trefoil?
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 8, 2011 at 6:00 | vote | accept | Chris | ||
| May 8, 2011 at 5:59 | vote | accept | Chris | ||
| May 8, 2011 at 6:00 | |||||
| May 8, 2011 at 5:59 | vote | accept | Chris | ||
| May 8, 2011 at 5:59 | |||||
| May 8, 2011 at 5:53 | history | edited | Chris | CC BY-SA 3.0 |
Added clarification at the bottom
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| May 7, 2011 at 21:22 | comment | added | Sergey Melikhov | Ryan: not if the author's flatness hypothesis is in error. For an observer within the event horizon of a black hole the question makes sense. To understand what happens with crossing changes one can think of gravitational lensing and how it works near a black hole. | |
| May 7, 2011 at 21:13 | answer | added | Sergey Melikhov | timeline score: 2 | |
| May 7, 2011 at 9:25 | answer | added | S. Carnahan♦ | timeline score: 2 | |
| May 7, 2011 at 8:54 | comment | added | Ryan Budney | Regardless of whether or not the observer is accellerating, what they see at any moment is governed by the inbound light cone, and this gives an open trefoil regardless of the observer's relative motion or accelleration. I'm not seeing why this is a MO question -- it seems more appropriate for the physics or math StackExchange sites. | |
| May 7, 2011 at 7:23 | comment | added | Greg Friedman | I'm sure this will wind up being completely wrong, but my guess would be that it would still be a trefoil: if I start from rest and see a trefoil and then accelerate to a new reference frame, sure the trefoil will move around, and maybe even stretch and bend, but what would cause a singularity and then a crossing switch to occur if the trefoil were, say, made of rope? Relativistically, the force pushing you around would be seen by you as a some force acting on the rope, and I don't see what would cause such an odd local change to make a crossing switch. | |
| May 7, 2011 at 5:45 | history | asked | Chris | CC BY-SA 3.0 |