So, the tube is lying loose on the pylons, and he assumes it will keep its shape while expanding.
I think that is highly optimistic for a tube that is a straight line, even more so for one that is curved.
If he manages to accomplish that, the end stations will move over 300 meters, in total. Hopefully, when the tube contracts again, the motion will be reversed perfectly. Otherwise, that end station in LA could slowly move north or south over the years.
Where are you getting this idea from? That seems like an insane implementation compared to using accordian-like flexible section[s].
I guess that's because accordion-like flexible sections and carriages moving at 1000 km/h on a tiny air cushion don't go well together, or because such sections, being a lot leakier then welds, would let too much air in.
Nowadays with welded rail, careful compliance with construction standards is required. Slow orders are issued during heat waves and frequent track inspections are conducted to look for potential or actual sun kinks.
A good summary of the issue can be found in the Heat Orders FAQ from Virginia Railway Express. [1]
[1] http://www.vre.org/feedback/frequently_asked_questions/faq_h...