A two-particle simulation of Nonunitary Newtonian Gravity
arXiv:1801.02500 · doi:10.1088/2399-6528/aaa374
Abstract
The result of a numerical simulation of two interacting particles in the framework of Nonunitary Newtonian Gravity is presented here. Particles are held close together by a 3-d harmonic trap and interact with each other via an `electrical' delta-like potential and via the ordinary Newtonian term, together with a fluctuational nonunitary counterpart of the latter. Fundamental nonunitarity can be seen as arising from the interaction of the physical degrees of freedom with (gravitational) hidden copies of them. Starting from an energy eigenstate within the ordinary setting, it is shown that, while energy expectation remains constant, a slow net variation of the von Neumann entropy for the system as a whole takes place, with a small modulation induced on the relative entanglement entropy of the two particles. Besides, the simulation shows explicitly how fundamental gravity-induced entropy can be clearly distinguished from the subjective notion of coarse-grained entropy, i.e. from the entropy of one particle with respect to the `environment' of the other.
arXiv comment10 pages, 3 figures
References in corpus (18)
- Many-Body Physics with Ultracold Gases
- Decoherence, einselection, and the quantum origins of the classical
- Entropy and Area
- Dynamical Reduction Models
- Decoherence, Chaos, and the Second Law
- Colloquium: Quantum interference of clusters and molecules
- The wave nature of biomolecules and fluorofullerenes
- Universal decoherence due to gravitational time dilation
- On Evolution Laws Taking Pure States to Mixed States in Quantum Field Theory
- Quantum Approach to a Derivation of the Second Law of Thermodynamics
- Quasiclassical Coarse Graining and Thermodynamic Entropy
- Decoherence of Macroscopic Closed Systems within Newtonian Quantum Gravity
- Decoherence without Dissipation
- Nonunitary HD gravity classically equivalent to Einstein gravity and its Newtonian limit
- Quantum superpositions of a mirror for experimental tests for nonunitary Newtonian gravity
- Numerical simulation of nonunitary gravity-induced localization
- Entropic localization in non-unitary Newtonian gravity
- Relativistic generalizations of gravity-induced localization models
Cited by in corpus (4)
- Einstein, Planck and Vera Rubin: relevant encounters between the Cosmological and the Quantum Worlds
- Microscopic foundations of the Second Law of Thermodynamics within Nonunitary Newtonian Gravity
- A natural cure for causality violations in Newton-Schrödinger equation
- Interaction between Everett worlds and fundamental decoherence in Non-unitary Newtonian Gravity