Nonlinear, non-signaling Schr\"odinger equation
- URL: http://arxiv.org/abs/2402.08757v2
- Date: Fri, 1 Mar 2024 11:18:39 GMT
- Title: Nonlinear, non-signaling Schr\"odinger equation
- Authors: Tam\'as Geszti
- Abstract summary: nonlinear extension of Schr"odinger's wave equation is proposed.
Negative kinetic energy term turns spreading of wave packets into its opposite: collapsing.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: A nonlinear extension of Schr\"odinger's wave equation is proposed that
ensures non-signaling by keeping linear the evolution of
\textit{coordinate-diagonal} elements of the density matrix. The equation
contains a negative kinetic energy term that turns spreading of wave packets
into its opposite: collapsing, as some effective mass $M$ grows beyond a
universal critical mass, estimated to be about $\mu = 2\cdot10^{-23}~$kg; then
linear quantum kinetic energy gets negligible, which marks the
quantum-classical border. Interference of large molecules is suggested for an
experimental check of the proposed framework.
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