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p-adic numbers: An introduction by Fernando Quadros Gouvea

p-adic numbers: An introduction Fernando Quadros Gouvea ebook
Page: 310
ISBN: 3540629114, 9783540629115
Publisher: Springer
Format: djvu

At one extreme is the modest idea that one should try to formulate some of the mathematical questions arising in quantum theory over fields and rings other than R, such as the field of p-adic number Qp, or the ring of adeles over the rationals A(Q ). Des nombres p-adiques peut alors être défini comme la complétion de l'espace .. To do so, we need to introduced rational numbers, which are sort of ratios of two integer numbers… although this ratio is not uniquely defined by the choice of the two integers! Quantum mechanics based on such numbers could obey some .. Uncertainties in spatial measurements in quantum gravity are related to noncommutativity between coordinates. Introduction to Elliptic Curves; Elliptic Curve Cryptosystems (ECC); Implementation of ECC in Binary Fields; And More of rationals, p-adic numbers, or a finite field. P-Adic and adelic Moyal products are introduced. Is it possible to reformulate QM with real numbers only, and Born's rule substituted by p_i=c_i, by introducing unobservable ghost-states with negative amplitudes? P-Adic Numbers, P-Adic Analysis, Zeta-Functions: Compare Prices. Paradoxically enough, the most tolerable "number system" in which you could try to pick your state vector are deeply esoteric systems such as the so-called \(p\)-adic numbers. The point here is not to try to .. Amazon.com: P-adic Numbers, p-adic Analysis, and Zeta-Functions.