Microscopic foundations of the Second Law of Thermodynamics within Nonunitary Newtonian Gravity

Abstract

The quest for a microscopic foundation of Thermodynamics is addressed within the Nonunitary Newtonian Gravity model through the study of a specific closed system, namely a three-dimensional harmonic nanocrystal. A numerical calculation of the nanocrystal von Neumann entropy as a function of time is performed, showing a sharp monotonic increase, followed by a stabilization at late times. This behavior is consistent with the emergence of a micro-canonical ensemble within the initial energy levels, signaling, in this way, the establishment of a non-unitary gravity-induced thermal equilibrium.

2 figures, 8 pages. arXiv admin note: text overlap with arXiv:1801.02500

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Thermalization and its mechanism for generic isolated quantum systems
• Eigenstate Thermalization Hypothesis
• The matter-gravity entanglement hypothesis
• Quantum superpositions of a mirror for experimental tests for nonunitary Newtonian gravity
• A two-particle simulation of Nonunitary Newtonian Gravity
• A natural cure for causality violations in Newton-Schrödinger equation

Cited by in corpus (2)

• Einstein, Planck and Vera Rubin: relevant encounters between the Cosmological and the Quantum Worlds
• Interaction between Everett worlds and fundamental decoherence in Non-unitary Newtonian Gravity