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.
%0 Generic
%1 citeulike:25688
%A Parwani, Rajesh R.
%D 2004
%K cosmology informationtheoretic linearity lorentz neutrino schroedinger
%T Why is Schrodinger's Equation Linear?
%U http://arxiv.org/abs/quant-ph/0412192
%X 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.
@misc{citeulike:25688,
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.},
added-at = {2007-08-18T13:22:24.000+0200},
author = {Parwani, Rajesh R.},
biburl = {https://www.bibsonomy.org/bibtex/2e3fff13c926b5ff152addf4d38e54926/a_olympia},
citeulike-article-id = {25688},
description = {citeulike},
eprint = {quant-ph/0412192},
interhash = {1f0459a32d62fec8cef27d259afab819},
intrahash = {e3fff13c926b5ff152addf4d38e54926},
keywords = {cosmology informationtheoretic linearity lorentz neutrino schroedinger},
month = {December},
timestamp = {2007-08-18T13:23:00.000+0200},
title = {Why is Schrodinger's Equation Linear?},
url = {http://arxiv.org/abs/quant-ph/0412192},
year = 2004
}