On measurements, numbers and p-adic mathematical physics
نویسندگان
چکیده
منابع مشابه
On p-Adic Mathematical Physics
A brief review of some selected topics in p-adic mathematical physics is presented. DOI: 10.1134/S2070046609010014
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A brief review of some selected topics in p-adic mathematical physics is presented. 1 Numbers: Rational, Real, p-Adic We present a brief review of some selected topics in p-adic mathematical physics. More details can be found in the references below and the other references are mainly contained therein. We hope that this brief introduction to some aspects of p-adic mathematical physics could be...
متن کاملNotes on p-adic numbers
as one can check using induction on l. The usual absolute value function |x| satisfies these conditions with the ordinary triangle inequality (4). If N(x) = 0 when x = 0 and N(x) = 1 when x 6= 0, then N(x) satisfies these conditions with the ultrametric version of the triangle inequality. For each prime number p, the p-adic absolute value of a rational number x is denoted |x|p and defined by |x...
متن کامل$p$-Adic Mathematical Physics: The First 30 Years
p-Adic mathematical physics is a branch of modern mathematical physics based on the application of p-adic mathematical methods in modeling physical and related phenomena. It emerged in 1987 as a result of efforts to find a non-Archimedean approach to the spacetime and string dynamics at the Planck scale, but then was extended to many other areas including biology. This paper contains a brief re...
متن کاملComputable p–adic Numbers
In the present work the notion of the computable (primitive recursive, polynomially time computable) p–adic number is introduced and studied. Basic properties of these numbers and the set of indices representing them are established and it is proved that the above defined fields are p–adically closed. Using the notion of a notation system introduced by Y. Moschovakis an abstract characterizatio...
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ژورنال
عنوان ژورنال: P-Adic Numbers, Ultrametric Analysis, and Applications
سال: 2012
ISSN: 2070-0466,2070-0474
DOI: 10.1134/s2070046612020021