John Rumm wrote:

In this demo. you accelerate the whole bottle, and then bring it to
rest abruptly (the shoe adding enough protection to stop the bottle
breaking on impact). As it comes to rest, the kinetic energy in the
wine will cause the air gap at the top of the bottle to get
compressed (and opening a low pressure rarefaction or cavitation
adjacent to the cork).

Surely the only way the air could get compressed is if the wine expands and
I don't think this is likely to occur significantly.

It seems more likely that it's to do with rebounding shock waves within the
bottle passing through an incompressible medium (the wine) and transfering
some of the energy to a moveble object (the cork).

Tim