2024/02/13 by Tamás Geszti, Geszti, Tamás
Physics and Astronomy · Engineering · #Nonlinear Photonic Systems #Quantum optics and atomic interactions #Photonic and Optical Devices
paper · pdf · doi:10.48550/arxiv.2402.08757
A nonlinear extension of Schrödinger's wave equation is proposed that ensures non-signaling by keeping linear the evolution of 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 μ= 2⋅10-23~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.