Elementary particles on \(p\)-adic spacetime and temperedness of invariant measures

DOI10.1134/S2070046614040074zbMath1319.81087OpenAlexW1976462686MaRDI QIDQ2354811

Yanyan Li

Publication date: 27 July 2015

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046614040074

zbMATH Keywords

orbitsinvariant measurestempered distributionselementary particlesPoincaré groupnon-Archimedean fieldsVolovich hypothesis\(p\)-adic spacetime

Mathematics Subject Classification ID

Other elementary particle theory in quantum theory (81V25) Nuclear physics (81V35) Operations with distributions and generalized functions (46F10) Structure and representation of the Lorentz group (22E43) Noncommutative geometry in quantum theory (81R60)

Cites Work

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• The non-Archimedean stochastic heat equation driven by Gaussian noise
• On \(p\)-adic mathematical physics
• Multipliers for the symmetry groups of \(p\)-adic spacetime
• Number theory as the ultimate physical theory
• Harmonic analysis on reductive \(p\)-adic groups. Notes by G. van Dijk

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