Preprint Article Version 1 This version is not peer-reviewed

“Quantum Jumps” as Bifurcations in Non-Linear Soliton-Type Models

Version 1 : Received: 15 October 2024 / Approved: 16 October 2024 / Online: 17 October 2024 (19:27:09 CEST)

How to cite: Mielke, E. W. “Quantum Jumps” as Bifurcations in Non-Linear Soliton-Type Models. Preprints 2024, 2024101319. https://doi.org/10.20944/preprints202410.1319.v1 Mielke, E. W. “Quantum Jumps” as Bifurcations in Non-Linear Soliton-Type Models. Preprints 2024, 2024101319. https://doi.org/10.20944/preprints202410.1319.v1

Abstract

Non-linear superposition of solitons provide almost linear branches as well as ``quantum jumps" to stable particle-like cores. Can the quest for possible non--linearity of quantum mechanics and the ``collapse paradox" of the wave function in (non-)linear quantum mechanics be resolved by transitions between different quasi-linear branches of the corresponding Whitney surface?

Keywords

Nonlinear quantum mechanics; solitons; bifurcations

Subject

Physical Sciences, Theoretical Physics

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