Please use this identifier to cite or link to this item:
|Title:||An information-theoretic link between spacetime symmetries and quantum linearity|
Nonlinear quantum mechanics
Spacetime symmetry breaking
|Citation:||Parwani, R.R. (2005-02). An information-theoretic link between spacetime symmetries and quantum linearity. Annals of Physics 315 (2) : 419-452. ScholarBank@NUS Repository. https://doi.org/10.1016/j.aop.2004.08.005|
|Abstract:||A nonlinear generalisation of Schrodinger's equation is obtained using information-theoretic arguments. The nonlinearities are controlled by an intrinsic length scale and involve derivatives to all orders thus making the equation mildly nonlocal. The nonlinear equation is homogeneous, separable, conserves probability, but is not invariant under spacetime symmetries. Spacetime symmetries are recovered when a dimensionless parameter is tuned to vanish, whereby linearity is simultaneously established and the length scale becomes hidden. It is thus suggested that if, in the search for a more basic foundation for Nature's Laws, an inference principle is given precedence over symmetry requirements, then the symmetries of spacetime and the linearity of quantum theory might both be emergent properties that are intrinsically linked. Supporting arguments are provided for this point of view and some testable phenomenological consequences are highlighted. The generalised Klien-Gordon and Dirac equations are also studied, leading to the suggestion that nonlinear quantum dynamics with intrinsically broken spacetime symmetries might be relevant to understanding the problem of neutrino mass (lessness) and oscillations: Among other observations, this approach hints at the existence of a hidden discrete family symmetry in the Standard Model of particle physics. © 2004 Elsevier Inc. All rights reserved.|
|Source Title:||Annals of Physics|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Mar 20, 2019
WEB OF SCIENCETM
checked on Mar 5, 2019
checked on Mar 15, 2019
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.