PAllen's latest activity
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PPAllen replied to the thread I Euclidean geometry and gravity.So far as I know, Herglotz-Noether is purely a theorem of SR. The case described would definitely be a possible rigid motion in SR - you...
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PPAllen replied to the thread I Euclidean geometry and gravity.Thinking more about this, I come back to believing that for physics of materials, the only valid approach is in terms of kinematic...
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PPAllen replied to the thread I Euclidean geometry and gravity.I don't know that that is definitive. See my longer post on this, coming soon.
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PPAllen replied to the thread I Euclidean geometry and gravity.I am not quite sure how much of embedding theory corresponds to physics in pseudo-riemannian geometry, but I think it is worth pointing...
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PPAllen replied to the thread I Euclidean geometry and gravity.Claim: There is no difficulty defining a congruence of world lines representing a piece of paper far from a BH, that then has each...
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PPAllen replied to the thread I Euclidean geometry and gravity.Alternatively, make it out of something like rubber, and it will change shape without great stress or tearing.
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PPAllen replied to the thread I Euclidean geometry and gravity.Some additional cautions may be stated: A paper so oriented is not inertial, so you have to imagine some force holding it in place...
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PPAllen replied to the thread I Synchronizing clocks at different locations to measure speed of light.No, as measured locally by an accelerometer, or by design with preprogrammed propulsion systems. The aim is to demonstrate: 1)...
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PPAllen replied to the thread I Synchronizing clocks at different locations to measure speed of light.Yes, fixed now.
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PPAllen replied to the thread I Synchronizing clocks at different locations to measure speed of light.At time t, clock 1 sends a signal to clock 2, triggering clock 2 to send its time reading to clock 1. We are assuming the clocks...
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PPAllen replied to the thread I Synchronizing clocks at different locations to measure speed of light.Note, an invariant fact is that if you move the clocks away and then back together with identical acceleration profile, they will be in...
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PPAllen replied to the thread I Synchronizing clocks at different locations to measure speed of light.Something worth noting in these discussions is that isotropy can be assumed for some physical process unrelated to light, and this will...
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PPAllen replied to the thread I Synchronizing clocks in an inertial frame if light is anisotropic.I'll sum up my position: A given detector can measure KE of a test body (relative to that detector, of course) with no recourse to...
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PPAllen replied to the thread I Synchronizing clocks in an inertial frame if light is anisotropic.What matters is the relative motion of detector and body, not the details of frame construction (in particular, clock synchronization...
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PPAllen replied to the thread I Synchronizing clocks in an inertial frame if light is anisotropic.Then my point is proven: KE is a directly measurable local quantity that does not depend on clock synch (you don't even need one clock...