Why is Schrodinger's Equation Linear?

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.

3 pages; Presented at the DICE 2004 workshop; Sept 2004, Piombino Italy. Minor corrections: this is the proceedings Version

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• A Physical Axiomatic Approach to Schrodinger's Equation