Why is Schrodinger's Equation Linear?
Quantum Physics
2015-06-26 v2 High Energy Physics - Theory
Abstract
Information-theoretic arguments are used to obtain a link between the accurate linearity of Schrodinger's equation and Lorentz invariance: A possible violation of the latter at short distances would imply the appearance of nonlinear corrections to quantum theory. Nonlinear corrections can also appear in a Lorentz invariant theory in the form of higher derivative terms that are determined by a length scale, possibly the Planck length. It is suggested that the best place to look for evidence of such quantum nonlinear effects is in neutrino physics and cosmology.
Cite
@article{arxiv.quant-ph/0412192,
title = {Why is Schrodinger's Equation Linear?},
author = {Rajesh R. Parwani},
journal= {arXiv preprint arXiv:quant-ph/0412192},
year = {2015}
}
Comments
3 pages; Presented at the DICE 2004 workshop; Sept 2004, Piombino Italy. Minor corrections: this is the proceedings Version