PeterDonis's latest activity
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PeterDonis replied to the thread I Can (ordo) Fermions convert to Bosons?."Compressible" is a poor term. The key thing that a system of bosons can do that a system of fermions can't is to form a Bose-Einstein... -
PeterDonis replied to the thread I Is using r as a coordinate in Birkhoff's theorem a limitation?.Not a vacuum spacetime, of course. But you might be able to by patching together regions with appropriate stress-energy tensors. I think... -
PeterDonis replied to the thread I Is using r as a coordinate in Birkhoff's theorem a limitation?.Yes, it does! That was my point in post #15. Maximally extended Schwarzschild spacetime, which is a solution that meets the requirements... -
PeterDonis replied to the thread I Is using r as a coordinate in Birkhoff's theorem a limitation?.That's correct. There are. One of them is...Schwarzschild spacetime! As I already pointed out in post #15. You are misunderstanding... -
PeterDonis replied to the thread I Is using r as a coordinate in Birkhoff's theorem a limitation?.Yes, that's true, you can--for example, maximally extended Schwarzschild spacetime, with black hole and white hole singularities. Nor... -
PeterDonis reacted to Dale's post in the thread I Is using r as a coordinate in Birkhoff's theorem a limitation? with
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I think it is proven by Birkhoff’s theorem. Birkhoff’s theorem shows that the spherical vacuum metric is unique. If the metric you... -
PeterDonis replied to the thread I Is using r as a coordinate in Birkhoff's theorem a limitation?.This is correct. See the Insights article I referred to, or MTW for more details. -
PeterDonis replied to the thread I Is using r as a coordinate in Birkhoff's theorem a limitation?.This isn't possible; the "center" is defined as the locus ##r = 0##. Since ##r## is the areal radius, it's impossible for it to be... -
PeterDonis replied to the thread I Is using r as a coordinate in Birkhoff's theorem a limitation?.No. The areal radius ##r## is an invariant. Picking it as one of the coordinates helps in making the proof of Birkhoff's Theorem look... -
PeterDonis replied to the thread I Angular Momentum Vector and Its Magnitude.Right, which means, to amplify on @PeroK's answer a bit, that the system cannot be in any of these configurations. It must be in a... -
PeterDonis reacted to PeroK's post in the thread I Angular Momentum Vector and Its Magnitude with
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Well, exactly! There is no realistic configuration that satisfies the requirements. I'm suprised this example isn't shown more often... -
PeterDonis reacted to SiennaTheGr8's post in the thread I Question about special relativity and magnetism with
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I think it's worth mentioning that this statement isn't true. The "electricity + length-contraction = magnetism" concept works for some... -
PeterDonis reacted to Dale's post in the thread I Question about special relativity and magnetism with
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Yes, that is the case. I think you misunderstood the videos, but you correctly understood the physics. The fact that the wire is... -
PeterDonis replied to the thread A Paper Recommendation Request: on Formation of "Bubble" universes.A PF search should find several threads on that theorem with references. -
PeterDonis replied to the thread A Paper Recommendation Request: on Formation of "Bubble" universes.From what I can see, again on a quick skim, these lectures don't discuss eternal inflation models at all.