Signal-locality, uncertainty, and the subquantum H-theorem. I
Antony Valentini
International School for Advanced Studies, Strada Costiera 11, 34014 Trieste,
Italy
(Originally published in Physics Letters A 156, No.1-2, June 1991)
ABSTRACT: We begin a statistical mechanics bsed on the pilot-wave formulation
of quantum theory, without making the assumption that the probability density
P is equal to |Psi|^2. Instead, this relation is shown to arise
statistically from an "H-theorem", based on assumptions similar to
those of classical statistical mechanics (rather than postulating subquantum
"fluid fluctuations", as done by Bohm and Vigier). The theorem is proved by
constructing a subquantum entropy which, when coarse-grained, increases with
time, reaching a maximum when P = |Psi|^2.
Signal-locality, uncertainty, and the subquantum H-theorem. II
Antony Valentini
International School for Advanced Studies, Strada Costiera 11, 34014 Trieste,
Italy
(Originally published in Physics Letters A 158, No.1-2, August 1991)
ABSTRACT: In the pilot-wave formulation, signal-locality and the uncertainty principle are
shown to be valid only for the equilibrium distribution P=|Psi|^2
(which arises from the subquantum H-theorem proved earlier). The H-theorem
then explains the emergence of effective locality and uncertainty from a
deeper nonlocal and deterministic theory. In order to explain the
present uneasy "peaceful coexistence" (or "conspiracy") between relativity
and quantum theory, we suggest that a subquantum analogue of Boltzmann's
heat death has actually happened in the real universe.