p-Adic mathematical physics: the first 30 years
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 …
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 …
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
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 …
connection to algebraic geometry. Since every compact Riemann surface is a projective …
p-Adic statistical field theory and convolutional deep Boltzmann machines
Understanding how deep learning architectures work is a central scientific problem.
Recently, a correspondence between neural networks (NNs) and Euclidean quantum field …
Recently, a correspondence between neural networks (NNs) and Euclidean quantum field …
Generalized ghost-free propagators in nonlocal field theories
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 …
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 …
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
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 …
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
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 …
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 …
the modified Einstein's gravity. We present exact analytic cosmological solutions including …
Nonlocal gravity with worldline inversion symmetry
A bstract We construct a quadratic curvature theory of gravity whose graviton propagator
around the Minkowski background respects wordline inversion symmetry, the particle …
around the Minkowski background respects wordline inversion symmetry, the particle …