Vandam said:
But if you agree with him you might perhaps tell me what the primed coordinates are in LET?
I'm not an expert on LET so I don't know if I can answer this; but as I understand it, the convention in LET is to write coordinates in the "ether frame" as unprimed, and coordinates in any other frame which is moving relative to the ether as primed. So if some observer is moving relative to the ether, the coordinates in the frame in which that observer is at rest would be written as primed coordinates.
Vandam said:
What do they mean for the traveler in the ether? His wristwatch time etc.?
Since the observer is at rest in the primed frame under this convention, t' would be the same, numerically, as proper time as measured by the observer, which you appear to refer to as "wristwatch time". But there is still a logical distinction between the *coordinate* time, t', which is a number assigned to an event, and the *proper* time of the observer, which is something he directly observes.
Vandam said:
Lorentz' quote: <<The chief cause of my failure was my clinging to the idea that the variable t only can be considered as the true time and that my local time t' must be regarded as no more than an auxiliary mathematical quantity. In Einstein's theory, on the contrary, t' plays the same part as t; if we want to describe phenomena in terms of x'; y'; z'; t' we must work with these variables exactly as we could do with x; y; z; t.>>
As far as I can tell, what Lorentz meant here was that he treated the "ether frame" as being somehow special, physically, whereas Einstein did not; Einstein treated all inertial frames as physically equivalent. So for Lorentz, the coordinate time in the ether frame had a special physical status, as "true time"; the coordinate time in any other frame did not. Einstein made no such distinction. That's how I read it, anyway.
However, none of that makes any difference as far as the diagrams you are talking about. See below.
Vandam said:
You can never get that in a LET scenario. The primed time coordinates (.289,.289) only make sense if you let go the ether.
I don't see how this follows at all. You can calculate the primed time coordinates in the ether frame just as well as in any other frame. You can also predict that that primed time coordinate will be numerically equal, as I said above, to the proper time measured by the observer at rest in the primed frame. All that is independent of any "interpretation".
LET makes different assertions about the underlying "physical reality" than the "block universe" interpretation does, but the primed time coordinate, in itself, doesn't necessarily say anything about underlying physical reality; it just enables us to predict a particular observed quantity, the "wristwatch time" of an observer at rest in the primed frame. So the second statement of yours in the quote just above is not correct as you state it: a correct statement would be "the primed time coordinates only make sense
according to the block universe interpretation if you let go the ether".