A Generalized Nonlinear Extension of Quantum Mechanics

Fuente: arXiv
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Main Authors: Chodos, Alan, Cooper, Fred
Format: Preprint
Published: 2025
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author Chodos, Alan
Cooper, Fred
author_facet Chodos, Alan
Cooper, Fred
contents We construct the most general form of our previously proposed nonlinear extension of quantum mechanics that possesses three basic properties. Unlike the simpler model, the new version is not completely integrable, but it has an underlying Hamiltonian structure. We analyze a particular solution in detail, and we use a natural extension of the Born rule to compute particle trajectories. We find that closed particle orbits are possible.
format Preprint
id arxiv_https___arxiv_org_abs_2509_04320
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Generalized Nonlinear Extension of Quantum Mechanics
Chodos, Alan
Cooper, Fred
Quantum Physics
High Energy Physics - Phenomenology
High Energy Physics - Theory
We construct the most general form of our previously proposed nonlinear extension of quantum mechanics that possesses three basic properties. Unlike the simpler model, the new version is not completely integrable, but it has an underlying Hamiltonian structure. We analyze a particular solution in detail, and we use a natural extension of the Born rule to compute particle trajectories. We find that closed particle orbits are possible.
title A Generalized Nonlinear Extension of Quantum Mechanics
topic Quantum Physics
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2509.04320