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arXiv · 1705.04758

$p$-Adic Mathematical Physics: The First 30 Years

B. Dragovich·A. Yu. Khrennikov·S. V. Kozyrev·I. V. Volovich·E. I. Zelenov
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Abstract

$p$-Adic mathematical physics is a branch of modern mathematical physics based on the application of $p$-adic mathematical methods in modeling physical and related phenomena. It emerged in 1987 as a result of efforts to find a non-Archimedean approach to the spacetime and string dynamics at the Planck scale, but then was extended to many other areas including biology. This paper contains a brief review of main achievements in some selected topics of $p$-adic mathematical physics and its applications, especially in the last decade. Attention is mainly paid to developments with promising future prospects.

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B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev, I. V. Volovich, E. I. Zelenov. 2017-05-12. $p$-Adic Mathematical Physics: The First 30 Years. https://doi.org/10.1134/s2070046617020017

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