Arithmetic Quantum Physics: Why, What, and Whither

V. S. Varadarajan

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 273-280.

Résumé

This article contains a discussion of some of the motivations for doing quantum physics in arithmetic contexts such as $p$-adic and adelic spaces, a brief survey of some of the results obtained so far, and some indications of directions of future research, including some open problems and speculations at the end.

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