2009/08/31 by Wei Khim Ng, W. Ng, Rajesh R. Parwani
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #hep-th #quant-ph
paper · pdf · doi:10.1142/s0217732311035146
published as Mod.Phys.Lett.A26:681-689,2011
openalex publication_date 2011/03/21 · arxiv created 2011/03/26 · arxiv updated 2011/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Information measures for relativistic quantum spinors are constructed to satisfy various postulated properties such as normalization invariance and positivity. Those measures are then used to motivate generalized Lagrangians meant to probe shorter distance physics within the maximum uncertainty framework. The modified evolution equations that follow are necessarily nonlinear and simultaneously violate Lorentz invariance, supporting previous heuristic arguments linking quantum nonlinearity with Lorentz violation. The nonlinear equations also break discrete symmetries. We discuss the implications of our results for physics in the neutrino sector and cosmology.