Does the ever increasing nature of entropy violate time reversal symmetry?
Most, I think, believe it generally does. Yet "most" scientists have been repeatedly wrong over time..in other words, more often than not, the consensus has been proved wrong...from Ptolomy,Copernicus, Galileo, Newton, Einstein,Hubble, all upset widely held beliefs.
It is generally believed increasing entropy sets the direction of time. But in some respects entropy is not fully understood and time is certainly one of the most ambiguous, least understood, entities known. Hence many still disagree on the possibility of time travel, and if it's possible at all, might it be for both past and future. I don't think anyone knows how to relate entropy and time in a rigorous mathematical formulation.
Mathematical formulations generally don't break time's symmetry. +t and -t seem allowed. After Claude Shannon's information based formulation of entropy, it was realized perhaps information offers a more general insight: nature tries to dissipate information just as it tries to increase entropy,an alternative view setting a possibly fixed direction of time..
In DECODING THE UNIVERSE, Charles Seife discusses these entropy/information concepts for about 20 pages or so.
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