Nonarchimedean physics

V. S. Varadarajan
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V. S. Varadarajan: University of California, Department of Mathematics

Chapter Chapter 6 in Reflections on Quanta, Symmetries, and Supersymmetries, 2011, pp 155-178 from Springer

Abstract: Abstract There is a natural time scale, the Planck scale, that emerges when general relativity and quantum mechanics are both significant. No measurements are possible in regions of smaller sizes than the Planck units. In particular we cannot compare distances and times in sub-Planckian domains. In 1987 Igor Volovich proposed the bold hypothesis that in such domains the geometry of spacetime is nonarchimedean. It is then natural to ask what are the consequences of this hypothesis. We address this question in the Dirac mode.

Keywords: Conformal Symmetry; Central Extension; Planck Scale; Semidirect Product; Ultrametric Analysis (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4419-0667-0_6

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DOI: 10.1007/978-1-4419-0667-0_6

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