PAllen's latest activity

If you want a measure of travel distance inside the bubble, the only simple choice is relative to Eulerian world lines. Other simple...

The following may be said about correcting the light cones in fig.3 of the paper @PeterDonis linked: the slopes should be ##v\pm1## well...

Note that the formula works fine to define the odometer measurement by a relativistic drunk bug scampering over a relativistic spinning...

No, because if you are following a eulerian world line, you pass no other eulerian world lines, so zero road passes by.

Go back and use my formula to compute odometer distance between traveling inertially between two constant position world lines in an...

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...

Right. Entering and leaving the bubble you would measure the rate of eulerian observers going past. Note that my definition is...

But you said exactly this in your last post, just above!

I believe I have clearly expressed the problem I see with this multiple times. Again, you want sum a bunch of measurements made by...

Not what I meant. An odometer measures passing road. The road is defined by a chosen timelike congruence. If I close the eulerian...

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...

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...

No we are in agreement that the peculiar velocity is c. The difference is the notion of distance traveled. You have not provided any...

So, then, it is obvious that for a traveler in the center of the bubble, using Eulerian observers to define a road, the odometer...

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...