it's position (according to the initial inertial observers) is just given by the equation

X(t) = ln(cosh(A* t).

Where does this come from? I mean, you're in denial of relativity and even Newtonian physics, so is this something you worked out? It gives reasonable values for low speeds, but really diverges from SR as time goes on. I ran your program (using the above formula) for 5 years, and the gamma value at each year is 1.54, 3.76, 10.07, 27.31, 74.21 where SR says it should be 1.41, 2.24, 3.16, 4.12, 5.10. In other words, your rapidity is increasing at a phenomenal rate after a couple years, over 10 times that which relativity says.

Without another ship (the "leading ship"), there isn't anything else to say.

So you've been saying it depends on what other things are doing, events taking place outside the causal light cone of the ship taking off. And you 'stand behind this'.

OK, so suppose there is another ship doing the same thing, taking off at the same time, same direction in S. But nobody at our launchpad is aware of it since it is taking place light years away on a planet we don't even know about. How far away from the launchpad does our ship get after 2 months? You don't know I presume since I didn't say where the other ship is.

Second scenario: Suppose there is a large number of ships taking off all at once, one every 10 light years. You know the series of ships is there, but you don't know where you are in the list. There might be an unbounded number of ships in the line. Now how far away from the launchpad does our ship get after 2 months?

You replied twice to post 269 twice, which is fine since the first reply didn't answer the first question.

I reworded the first question in 272, immaterial since you sort of answered it. But I asked some new questions there, all ignored. See 272 for full text.

If it's coming too fast, take your time. This isn't a school test with a time limit.

This concerns the case with two ships with identical constant finite proper acceleration.

1) If at some time (2 months say) in S the velocities of the two ships are unequal as you claim, what is the velocity of the string? The ends, attached to the respective ships, are moving at different velocities in that frame. So how is the LCE meaningful to a string that isn't all moving at the same speed?

2) The first derivative of velocity is (coordinate) acceleration. True or false?

Before, I supposedly showed that a person (call him Tom) who instantaneously changes his speed (from zero to some large fraction of the speed of light) will, as a consequence of that, also instantaneously move a finite distance. I then used that result to argue that absurdities happen all over the place, thus diminishing the importance of the absurdity described in my paper.

You're saying that teleportation is no longer absurd? It's kind of hard to parse out the gist of your last post. Maybe a picture is in order if you think the ones we drew are wrong. There's no discontinuities in any worldlines, so nobody experiences anything teleporting.