nLab
p-adic physics

Idea

There are attempts/speculations/proposals to use p-adic numbers in place of real numbers in the description of physics.

References

Textbooks

• Vasiliĭ Vladimirov, I. V. Volovich, E. I. Zelenov, $p$-Adic analysis and mathematical physics

Reviews

• Branko Dragovich, Non-Archimedean Geometry and Physics on Adelic Spaces (arXiv:math-ph/0306023)

• Branko Dragovich, $p$-Adic and Adelic Quantum Mechanics (arXiv:hep-th/0312046)

• B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev, I. V. Volovich, $p$-Adic Mathematical Physics (arXiv:0904.4205)

String theory

Discussion of the Veneziano amplitude? for $p$-adic string theory is in

• I. V. Volovich, p-Адическое пространство-время и теория струн, ТМФ, 71:3 (1987)free Rus. pdf; transl. $p$-adic space-time and string theory, Theor. Math. Phys. 71, 574–576 (1987), eng doi, nonfree Eng. pdf

See also

• Branko Dragovich, Nonlocal dynamics of p-adic strings, (arxiv/1011.0912)