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 …

Nontrivial quantum and quantum-like effects in biosystems: Unsolved questions and paradoxes

AV Melkikh, A Khrennikov - Progress in Biophysics and Molecular Biology, 2015 - Elsevier
Non-trivial quantum effects in biological systems are analyzed. Some unresolved issues and
paradoxes related to quantum effects (Levinthal's paradox, the paradox of speed, and …

Tensor networks, -adic fields, and algebraic curves: arithmetic and the AdS/CFT correspondence

M Heydeman, M Marcolli, I Saberi, B Stoica - arXiv preprint arXiv …, 2016 - arxiv.org
One of the many remarkable properties of conformal field theory in two dimensions is its
connection to algebraic geometry. Since every compact Riemann surface is a projective …

p-Adic statistical field theory and convolutional deep Boltzmann machines

WA Zúñiga-Galindo, C He… - Progress of Theoretical …, 2023 - academic.oup.com
Understanding how deep learning architectures work is a central scientific problem.
Recently, a correspondence between neural networks (NNs) and Euclidean quantum field …

Generalized ghost-free propagators in nonlocal field theories

L Buoninfante, G Lambiase, Y Miyashita, W Takebe… - Physical Review D, 2020 - APS
In this paper, we present an iterative method to generate an infinite class of new nonlocal
field theories whose propagators are ghost-free. We first examine the scalar field case and …

'Social Laser': action amplification by stimulated emission of social energy

A Khrennikov - … Transactions of the Royal Society A …, 2016 - royalsocietypublishing.org
The problem of the 'explanation'of recent social explosions, especially in the Middle East,
but also in Southern Europe and the USA, has been debated actively in the social and …

Quantum information biology: from information interpretation of quantum mechanics to applications in molecular biology and cognitive psychology

M Asano, I Basieva, A Khrennikov, M Ohya… - Foundations of …, 2015 - Springer
We discuss foundational issues of quantum information biology (QIB)—one of the most
successful applications of the quantum formalism outside of physics. QIB provides a multi …

Towards unification of general relativity and quantum theory: Dendrogram representation of the event-universe

O Shor, F Benninger, A Khrennikov - Entropy, 2022 - mdpi.com
Following Smolin, we proceed to unification of general relativity and quantum theory by
operating solely with events, ie, without appealing to physical systems and space-time. The …

Stable analytic bounce in non-local Einstein–Gauss–Bonnet cosmology

AS Koshelev - Classical and Quantum Gravity, 2013 - iopscience.iop.org
We consider the most general quadratic in curvature stringy-motivated non-local action for
the modified Einstein's gravity. We present exact analytic cosmological solutions including …

Nonlocal gravity with worldline inversion symmetry

S Abel, L Buoninfante, A Mazumdar - Journal of High Energy Physics, 2020 - Springer
A bstract We construct a quadratic curvature theory of gravity whose graviton propagator
around the Minkowski background respects wordline inversion symmetry, the particle …