Foundations of Physics 49 (1):1-23 (2019)

Antony Valentini
Clemson University
We investigate whether small perturbations can cause relaxation to quantum equilibrium over very long timescales. We consider in particular a two-dimensional harmonic oscillator, which can serve as a model of a field mode on expanding space. We assume an initial wave function with small perturbations to the ground state. We present evidence that the trajectories are highly confined so as to preclude relaxation to equilibrium even over very long timescales. Cosmological implications are briefly discussed.
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DOI 10.1007/s10701-018-0227-3
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The Principles of Statistical Mechanics.Richard C. Tolman - 1939 - Philosophy of Science 6 (3):381-381.
Pilot-Wave Theory: Many Worlds in Denial?Antony Valentini - 2010 - In Simon Saunders, Jonathan Barrett, Adrian Kent & David Wallace (eds.), Many Worlds?: Everett, Quantum Theory & Reality. Oxford University Press.

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