Related papers: p-Adic Mathematical Physics
This is a brief review article of various applications of non-Archimedean geometry, p-adic numbers and adeles in modern mathematical physics.
$p$-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…
Application of adeles in modern mathematical physics is briefly reviewed. In particular, some adelic products are presented.
A brief review of the Standard Model of particle physics is presented.
The purpose of this informal article is to introduce the reader to some of the objects and methods of the theory of p-adic representations. My hope is that students and mathematicians who are new to the subject will find it useful as a…
In this short paper I consider relation between measurements, numbers and p-adic mathematical physics. p-Adic numbers are not result of measurements, but nevertheless they play significant role in description of some systems and phenomena.…
p-Adic mathematical physics emerged as a result of efforts to find a non-Archimedean approach to the spacetime and string dynamics at the Planck scale. One of its main achievements is a successful formulation and development of p-adic and…
Some question about representations of $p$-adic groups are discussed.
The article provides a brief survey of the mathematics of some of the newly being developed so called "hybrid" (also called "multi-physics" or "multi-wave") imaging techniques.
A range of issues in the field of hyperon physics is presented, together with an assessment of where important challenges remain.
Course material for mathematical methods of theoretical physics intended for an undergraduate audience.
These notes deal with some basic notions related to p-adic numbers and functions of p-adic numbers.
In this short survey we look at a few basic features of p-adic numbers, somewhat with the point of view of a classical analyst. In particular, with p-adic numbers one has arithmetic operations and a norm, just as for real or complex…
The main issues in non-accelerator astroparticle physics are reviewed and discussed. A short description is given of the experimental methods, of many experiments and of their experimental results.
Current problems in particle physics are reviewed from the viewpoint of theories possessing extra spatial dimensions.
We review some theoretical and experimental issues in unparticle physics, focusing mainly on collider signatures.
Many statistical issues arise in the analysis of Particle Physics experiments. We give a brief introduction to Particle Physics, before describing the techniques used by Particle Physicists for dealing with statistical problems, and also…
A brief review of a superanalysis over real and $p$-adic superspaces is presented. Adelic superspace is introduced and an adelic superanalysis, which contains real and $p$-adic superanalysis, is initiated.
A review of selected topics in mathematical general relativity
Some aspects and applications of $ \sigma$-models in particle and condensed matter physics are briefly reviewed.