PAllen's latest activity

So, the easy part is as follows: my traveler has reached the left edge of the right bubble wall at t (coord time) of 4.95, z of 16.295...

So, my choice for traveler world line is very convenient. It turns out it produces a constant integrand for the odometer integral of .1...

So it is quite easy to analyze that light gets trapped in the wall in the original coordinates. Using my proposed diff.eq. for traveler...

Note that this section is using v constant and superluminal, which is not what we want. This basically says that if the bubble never...

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...