PAllen's latest activity

I’m working through a concrete example. I’ll post the details of what I am assuming in case anyone else wants to work the same case...

So, at the center of the bubble, letting u be coordinate speed of a traveler world line at that point (passing through bubble center), v...

You get out of it sooner, just not as much as expected. E.g. when relative gamma corresponds to a speed greater than v for that slice...

I have an idea to make this explicit. I think it will be fun. In the article containing the famous fig.3, they give, later on, a...

Right, and that is equivalent to my statement that in orthogonal (Gaussian Normal) ccordinates, the light cones well within the bubble...

That's fine, but then, as you noted, the relevant travel direction is to the right in terms of that fig.3. It is now a case of "I like...

Not a technicality. It is the natural result of using the bubble to efficiently get to your intended destination. Note, this would be...

There is no reason for gamma to be constant. My definition was, in fact, partly motivated by a bug scampering over the surface of a...

Right, and my definition justifies the intuition that travel distance using the bubble to get from earth to Alpha Centauri is small.

Not remotely what I meant. Considering the famous fig. 3, I assume the world line of earth is vertical and just to the left of the...

I mean that with the other distance definitions we used, the existence of the bubble was mostly irrelevant. The experience inside the...

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.