Geodesic
Real non-Archimedean structure of spacetime
Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 2, pp. 177-190 Cet article a éte moissonné depuis la source Math-Net.Ru

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A study is made of the process of measurement by means of $m$-adic (and, in particular, $p$-adic) numbers. It is shown that $m$-adic variables can be interpreted as variables that are infinite!y large compared with the unit of measurement. Morita's F function is used to construct a Bargmann–Fock representation for a non-Archimedean harmonic oscillator with infinitely high energies. A gauge connection between the real geometry of Minkowski spacetime $M_4$ and non-Archimedean geometry of the microscopic world is considered. Groups of non-Archimedean symmetries are realized as internal symmetries. The concept of a real non-Archimedean manifold is introduced. A group of conformal transformations associated with a Galois group is constructed. 
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     author = {A. Yu. Khrennikov},
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A. Yu. Khrennikov. Real non-Archimedean structure of spacetime. Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 2, pp. 177-190. http://geodesic.mathdoc.fr/item/TMF_1991_86_2_a1/

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