A Generalized Nonlinear Extension of Quantum Mechanics
Quantum Physics
2025-11-05 v2 High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.2509.04320,
title = {A Generalized Nonlinear Extension of Quantum Mechanics},
author = {Alan Chodos and Fred Cooper},
journal= {arXiv preprint arXiv:2509.04320},
year = {2025}
}
Comments
16 pages, 3 figures; conforms to published version, Symmetry 2025, 17(11), 1850