On p-adic mathematical physics

B Dragovich, AY Khrennikov, SV Kozyrev… - P-Adic Numbers …, 2009 - Springer
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p-Adic mathematical physics: the first 30 years

B Dragovich, AY Khrennikov, SV Kozyrev… - P-Adic numbers …, 2017 - Springer
Abstract 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 …

p-Adic and adelic minisuperspace quantum cosmology

GS Djordjević, B Dragovich, LD Nešić… - International Journal of …, 2002 - World Scientific
We consider the formulation and some elaboration of p-adic and adelic quantum cosmology.
The adelic generalization of the Hartle–Hawking proposal does not work in models with …

p-Adic and adelic quantum mechanics

B Dragovich - arXiv preprint hep-th/0312046, 2003 - arxiv.org
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 …

Are there p-adic knot invariants?

AY Morozov - Theoretical and Mathematical Physics, 2016 - Springer
We suggest using the Hall–Littlewood version of the Rosso–Jones formula to define the
germs of p-adic HOMFLY-PT polynomials for torus knots [m, n] as coefficients of …

p-Adic and adelic cosmology: p-adic origin of dark energy and dark matter

B Dragovich - arXiv preprint hep-th/0602044, 2006 - arxiv.org
A brief review of p-adic and adelic cosmology is presented. In particular, p-adic and adelic
aspects of gravity, classical cosmology, quantum mechanics, quantum cosmology and the …

Graphs, local zeta functions, log-Coulomb gases, and phase transitions at finite temperature

WA Zúñiga-Galindo, BA Zambrano-Luna… - Journal of …, 2022 - pubs.aip.org
We study a log-gas on a network (a finite, simple graph) confined in a bounded subset of a
local field (ie, R⁠, C⁠, and Q p being the field of p-adic numbers). In this gas, a log-Coulomb …

p-Adic and adelic superanalysis

B Dragovich, A Khrennikov - arXiv preprint hep-th/0512318, 2005 - arxiv.org
arXiv:hep-th/0512318v1 27 Dec 2005 Page 1 arXiv:hep-th/0512318v1 27 Dec 2005 p-Adic
and Adelic Superanalysis Branko Dragovicha1 and Andrei Khrennikovb aInstitute of Physics …

Two-oscillator Kantowski–Sachs model of the Schwarzschild black hole interior

GS Djordjevic, L Nesic, D Radovancevic - General Relativity and …, 2016 - Springer
In this paper the interior of the Schwarzschild black hole, which is presented as a vacuum,
homogeneous and anisotropic Kantowski–Sachs minisuperspace cosmological model, is …

Towards effective Lagrangians for adelic strings

B Dragovich - Fortschritte der Physik, 2009 - Wiley Online Library
Abstract p‐Adic strings are important objects of string theory, as well as of p‐adic
mathematical physics and nonlocal cosmology. By a concept of adelic string one can unify …