Nonlinear Quantum Mechanics at the Planck Scale

2004/10/27 by George Svetlichny · 1 citation
Physics and Astronomy · #Causality (physics) #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Nonlinear system #Planck #Planck scale #Quantum #Quantum dissipation #Quantum dynamics #Quantum fluctuation #Relativity and Gravitational Theory #quant-ph

paper · pdf · doi:10.1007/s10773-005-8983-1

published as Int.J.Theor.Phys. 44 (2005) 2051-2058 · Talk given at the International Quantum Structures 2004 meeting, 16 pages LaTeX

arxiv created 2004/10/27 · openalex publication_date 2005/11/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

I argue that the linearity of quantum mechanics is an emergent feature at the Planck scale, along with the manifold structure of space-time. In this regime the usual causality violation objections to nonlinearity do not apply, and nonlinear effects can be of comparable magnitude to the linear ones and still be highly suppressed at low energies. This can offer alternative approaches to quantum gravity and to the evolution of the early universe.

Citations

• Informal Resource Letter - Nonlinear quantum mechanics on arXiv up to August 2004
• Test of the linearity of quantum mechanics by rf spectroscopy of theBe+<mml:mprescripts/>9ground state
• Testing quantum mechanics
• Nonlinear Quantum Mechanics Implies Polynomial-Time Solution forNP-Complete and #PProblems

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• Locality and nonlinear quantum mechanics