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\(p\)-adic probability interpretation of Bell’s inequality. (English) Zbl 1020.81534

81P15 Quantum measurement theory, state operations, state preparations
11S99 Algebraic number theory: local and \(p\)-adic fields
11Z05 Miscellaneous applications of number theory
46S10 Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis
60A99 Foundations of probability theory
Full Text: DOI
[1] Einstein, A.; Podolsky, B.; Rosen, N., Phys. rev., 47, 777, (1935)
[2] de Broglie, L., La physique quantique: restera-t-elle indeterministe, (1953), Gauthiers Villars Paris · Zbl 0053.32402
[3] Bohm, D.; Vigier, J.P., Phys. rev., 96, 208, (1954)
[4] Freistadt, H., Nuovo cimento, Suppl. 5, 1, (1957)
[5] Andrade e Silva, J.L.; Lochak, G., Quanta, (1969), McGraw-Hill New York
[6] Bell, J.S., Physics, 1, 195, (1965)
[7] Clauser, J.F.; Shimony, A.; Home, D.; Selleri, F., Rep. prog. phys., Nuovo cimento riv., 14, (1991)
[8] Vladimirov, V.S.; Volovich, I.V.; Zelenov, E.I., p-adic numbers in mathematical physics, (1993), World Scientific Singapore · Zbl 0812.46076
[9] Khrennikov, A.Yu., p-adic valued distributions in mathematical physics, (1994), Kluwer Dordrecht · Zbl 0833.46061
[10] Volovich, I.V.; Volovich, I.V.; Freund, P.G.O.; Olson, M.; Freund, P.G.O.; Olson, M.; Witten, E.; Frampton, P.H.; Okada, Y., Number theory as the ultimate physical theory, Classical quantum grav., Th.4781/87, Phys. lett. B, Phys. lett. B, Phys. rev. lett., 60, 484, (1988), preprint
[11] Mahler, K.; Schikhof, W.; Borevich, Z.I.; Schafarevich, I.R., Number theory, (), (1966), Academic Press New York
[12] Khrennikov, A.Yu.; Khrennikov, A.Yu.; Khrennikov, A.Yu.; Khrennikov, A.Yu., Russ. math. surv., J. math. phys., Theor. math. phys., Sov. phys. dokl., 35, 867, (1990)
[13] Khrennikov, A.Yu.; Khrennikov, A.Yu.; Khrennikov, A.Yu.; Khrennikov, A.Yu.; Cianci, R.; Khrennikov, A.Yu., Probability interpretation of the p-adic valued quantum theories, (), Phys. lett. B, 328, 109, (1994), Institute of General Physics, Russian Academy of Sciences Moscow, [in Russian] · Zbl 0841.46059
[14] Kolmogoroff, A.N., Grundbegriffe der wahrscheinlichkeitsrechnung, (1933), English translation (New York, 1950) · JFM 59.1152.03
[15] von Mises, R.; von Mises, R., The mathematical theory of probability and statistics, Math. Z., 5, 52, (1964), Academic Press New York · Zbl 0132.12303
[16] Dirac, P.A.M., (), 1
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