Priority of spacetime geometry
The authors of the paper cited below claim that it is possible to define a cosmological arrow of time in a way that does not need to be reduced to non-temporal considerations - that is an intrinsic feature of spacetime, and which therefore has conceptual priority over the entropic approach.
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The Arrow of Time  »The Arrow of Time 
The physics of time »The physics of time
Which arrow is fundamental? »Which arrow is fundamental?
Cosmological arrow is basic »Cosmological arrow is basic
Priority of spacetime geometry
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