Why is Schrödinger's equation linear?
Information-theoretic arguments are used to obtain a link between the accurate linearity of Schr¨odinger'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.
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Format: | Digital revista |
Language: | English |
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Sociedade Brasileira de Física
2005
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Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332005000300021 |
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