Geometric Interpretation of a nonlinear extension of Quantum Mechanics

Fuente: arXiv
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Main Authors: Chodos, Alan, Cooper, Fred
Format: Preprint
Published: 2024
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author Chodos, Alan
Cooper, Fred
author_facet Chodos, Alan
Cooper, Fred
contents We recently introduced a particular nonlinear generalization of quantum mechanics which has the property that it is exactly solvable in terms of the eigenvalues and eigenfunctions of the Hamiltonian of the usual linear quantum mechanics problem. In this paper we suggest that the two components of the wave function represent the system described by the Hamiltonian H in two different asymptotic regions of spacetime and we show that the non-linear terms can be viewed as giving rise to gravitational effects.
format Preprint
id arxiv_https___arxiv_org_abs_2405_07289
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Geometric Interpretation of a nonlinear extension of Quantum Mechanics
Chodos, Alan
Cooper, Fred
Quantum Physics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
We recently introduced a particular nonlinear generalization of quantum mechanics which has the property that it is exactly solvable in terms of the eigenvalues and eigenfunctions of the Hamiltonian of the usual linear quantum mechanics problem. In this paper we suggest that the two components of the wave function represent the system described by the Hamiltonian H in two different asymptotic regions of spacetime and we show that the non-linear terms can be viewed as giving rise to gravitational effects.
title Geometric Interpretation of a nonlinear extension of Quantum Mechanics
topic Quantum Physics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2405.07289