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Nonlinear Schrödinger Equation in Foundations: Summary of 4 Catches

Journal of Physics: Conference Series
Diósi, L. Wigner Center,
Budapest, Hungary
2016 Physics

Fundamental modifications of the standard Schrödinger equation by additional nonlinear terms have been considered for various purposes over the recent decades. It came as a surprise when, inverting Abner Shimonyi’s observation of ”peaceful coexistence” between standard quantum mechanics and relativity, N. Gisin proved in 1990 that any (deterministic) nonlinear Schrödinger equation would allow for superluminal communication. This is by now the most spectacular and best known fundational anomaly. I am going to discuss further anomalies, simple but foundational, less spectacular but not less dramatic.

The article was published in: Proceedings of: 'Journal of Physics: Conference Series', IOP Publishing: 012019.

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This work was supported (in part) by the Fetzer Franklin Fund of the John E. Fetzer Memorial Trust.