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Full Idea
One consequence of the Thermodynamic analysis of time's arrow is that a universe in which things are as disordered as they could be would exhibit no direction of time at all, because there would be no more significant changes in entropy.
Gist of Idea
Presumably if time's arrow is thermodynamic then time ends when entropy is complete
Source
Robin Le Poidevin (Travels in Four Dimensions [2003], 12 'Three')
Book Ref
Le Poidevin,Robin: 'Travels in Four Dimensions' [OUP 2003], p.211
A Reaction
And presumably time would gradually fizzle out, rather than ending abruptly. If entropy then went into reverse, there would be no time interval between the end and the new beginning. Entropy can vary locally, so it has to be universal.