dorsal/arxiv
View SchemaWhy is Schrodinger's Equation Linear?
| Authors | Rajesh R. Parwani |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412192 |
| URL | https://arxiv.org/abs/quant-ph/0412192 |
| DOI | 10.1590/S0103-97332005000300021 |
| Journal | Braz.J.Phys. 35 (2005) 494-496 |
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.
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"abstract": "Information-theoretic arguments are used to obtain a link between the\naccurate linearity of Schrodinger\u0027s equation and Lorentz invariance: A possible\nviolation of the latter at short distances would imply the appearance of\nnonlinear corrections to quantum theory. Nonlinear corrections can also appear\nin a Lorentz invariant theory in the form of higher derivative terms that are\ndetermined by a length scale, possibly the Planck length. It is suggested that\nthe best place to look for evidence of such quantum nonlinear effects is in\nneutrino physics and cosmology.",
"arxiv_id": "quant-ph/0412192",
"authors": [
"Rajesh R. Parwani"
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"quant-ph",
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"doi": "10.1590/S0103-97332005000300021",
"journal_ref": "Braz.J.Phys. 35 (2005) 494-496",
"title": "Why is Schrodinger\u0027s Equation Linear?",
"url": "https://arxiv.org/abs/quant-ph/0412192"
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