PAllen's latest activity
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.Note the spacetime inside a spherical shell of matter is flat, but proper time for the at rest observer inside is NOT the same as for an...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.One simple calculation is that if ##v_s## is 2, then the slope of light cones well within the bubble is appx. ##2 \pm \sqrt 3##...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.I haven't had a chance to study this in relation to the warp metric, but are there any timeilike paths that enter and leave the Bubble...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.So, @Jaime Rudas , if you apply your notion of distance traveled for light in an FLRW solution, to a traveler in the warp bubble, and...
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PPAllen reacted to Ibix's post in the thread Undergrad Does the Alcubierre drive shorten distances? with
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I think you are thinking of a process something like this. Draw a spacetime diagram in some coordinate system and add the (orange)... -
PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.But they are defining a local relative velocity. Do they also turn around and define a distance traveled by a body with peculiar motion...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.This is a fundamental point. It is clear by inspection the t coordinate is spacelike, not timelike inside the bubble when it is...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.So you are summing the separate local observations of many (infinite) local inertial observers, each at a different cosmological time...
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PPAllen replied to the thread Graduate How valid is the Block Universe theory?.Again, you could, in principle, disprove determinism. But, as I have argues above, determinism and block universe are actually...
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PPAllen replied to the thread Graduate Is the variation of the metric ##\delta g_{\mu\nu}## a tensor?.I don’t see why you would expect that last to be true in general. Starting from T with indexes down, in one case you have the metric...
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PPAllen reacted to Demystifier's post in the thread Graduate Is the variation of the metric ##\delta g_{\mu\nu}## a tensor? with
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After some thinking, I believe it's only a problem in notation. To make the explanation simpler, I find convenient to use an index-free... -
PPAllen replied to the thread Graduate How valid is the Block Universe theory?.I added a reference to my last post. I could also add more, in the context of the retrocaual interpretation in quantum mechanics, but...
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PPAllen replied to the thread Graduate How valid is the Block Universe theory?.Look, I’m not supporting this argument. You just said no one used block universe with nondeterministic evolution, and i am supplying...
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PPAllen replied to the thread Graduate How valid is the Block Universe theory?.The idea of the argument is that since 'simulatneous' in one frame meant 'in the past' in another, past and future have the same status...
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PPAllen replied to the thread Graduate How valid is the Block Universe theory?.I don’t have a reference handy now, but I remember reading some quantum foundation theorists argue that state reduction (globally...