PAllen's latest activity
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.Go back and use my formula to compute odometer distance between traveling inertially between two constant position world lines in an...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.Correct, as long as the entry and exit speed is small. My formula builds in length contraction, so if entry and exit are done very fast...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.Right. Entering and leaving the bubble you would measure the rate of eulerian observers going past. Note that my definition is...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.But you said exactly this in your last post, just above!
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.I believe I have clearly expressed the problem I see with this multiple times. Again, you want sum a bunch of measurements made by...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.Not what I meant. An odometer measures passing road. The road is defined by a chosen timelike congruence. If I close the eulerian...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.Ok so this means that distance from a bubble center observer to a world line just to right of the whole bubble region, per fig. 3...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.Just to be clear, the time inside shell of matter is slower than outside far away, even though both are flat. That is the typical case...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.No we are in agreement that the peculiar velocity is c. The difference is the notion of distance traveled. You have not provided any...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.So, then, it is obvious that for a traveler in the center of the bubble, using Eulerian observers to define a road, the odometer...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.Those light cones are, indeed off, but only that the right bound of the cones can approach horizontal, but never reach it. That is a...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.An observation is that if you take the limit as peculiar velocity goes to c, of comoving odometer distance as i defined in my prior...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.Getting back to the notion of distance, and how to make sense of it in relation to the warp drive metric, a few common conventions in GR...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.And this is an expectation which is false for almost any type of bubble or shell you can construct, where inside and far away are both...
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PPAllen replied to the thread Undergrad Does the Alcubierre drive shorten distances?.It relates exactly to what you said. You said it was intuitive that proper time inside the bubble was the same as outside because both...