Work

A Generalized Nonlinear Extension of Quantum Mechanics

Year: 2025

Type: article

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 used a natural extension of the Born rule to compute particle trajectories. We find that closed particle orbits are possible.

Source: Symmetry

DOI: 10.3390/sym17111850

Authors: Alan Chodos, Fred Cooper

Institutions: The University of Texas at Arlington, Santa Fe Institute, Los Alamos National Laboratory

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Santa Fe Institute