0412192v2

related topics
{energy, gaussian, time}
{field, particle, equation}
{information, entropy, channel}
{theory, mechanics, state}
{equation, function, exp}
{bell, inequality, local}
{force, casimir, field}
{vol, operators, histories}

Why is Schrodinger's Equation Linear?

Rajesh R. Parwani

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.

oai_identifier:
oai:arXiv.org:quant-ph/0412192
categories:
quant-ph hep-th
comments:
3 pages; Presented at the DICE 2004 workshop; Sept 2004, Piombino Italy. Minor corrections: this is the proceedings Version
arxiv_id:
quant-ph/0412192
journal_ref:
Braz.J.Phys. 35 (2005) 494-496
created:
2004-12-24
updated:
2005-05-24

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