PAllen's latest activity

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...

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...

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...

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...

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...

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##...

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...

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...

I think you are thinking of a process something like this. Draw a spacetime diagram in some coordinate system and add the (orange)...

But they are defining a local relative velocity. Do they also turn around and define a distance traveled by a body with peculiar motion...

This is a fundamental point. It is clear by inspection the t coordinate is spacelike, not timelike inside the bubble when it is...

So you are summing the separate local observations of many (infinite) local inertial observers, each at a different cosmological time...

Again, you could, in principle, disprove determinism. But, as I have argues above, determinism and block universe are actually...

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...

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...