Bricmont does a good job of discussing entropy, arrow-of-time, and irreversibility, information and probability in a purely classical statistical mechanics sett

Bricmont does a good job of discussing entropy, arrow-of-time, and irreversibility, information and probability in a purely classical statistical mechanics setting in https://arxiv.org/abs/chao-dyn/9603009 https://arxiv.org/abs/chao-dyn/9603009 . Bricmont has continued to write/expound upon these ideas ever since and more recently "come out" as a non-local hidden variables proponent of the de Broglie/Bohm variety which rejects your (1. locality) for which you left out an example. :-) Sometimes people refer to giving up "locality" in this context with the mouthful "a preferred fundamental foliation of spacetime". { "fundamental" here does the work to block the Cosmic Microwave Background / "average rest frame" which people have no trouble treating as a preferred inertial reference frame that is "merely contingent" not "fundamental", although Ernst Mach might have begged to differ, but that is further afield. :-) }