arXiv subjects

Valery A. Kholodnyi

Publications and source records attributed to Valery A. Kholodnyi.

3 recordsLinked to original sources

arXiv2026

Effects of Quantum Spin-Connection Foam in the Solar System, Galaxies, and the Universe

We argue that effects of the quantum spin-connection foam, which describes quantum gravity according to the precanonical quantization of General Relativity, may already be observed in the form of the small cosmological constant and a modification of Newtonian dynamics at small accelerations, manifested in the flat rotation curves of galaxies. We obtain a modification of the Newtonian potential that takes into account the existence of a fundamental small acceleration scale, $a_* = 8πG\hbar\varkappa$, where $\varkappa$ is a parameter with the dimensions of inverse spatial volume that appears on dimensional grounds. The connection between $\varkappa$ and the hadronic scale of the mass gap in the pure Yang-Mills sector of the Standard Model leads to an estimated value of $a_*$ compatible with the Milgromian acceleration scale in MOND. The connection between $a_*^2$ and the cosmological constant leads to a realistic value of the latter. Milgromian MOND, together with a theoretically distinct interpolating function, is derived under the assumption that classical dynamics is modified by the mean-field acceleration calculated from the simplest solution of precanonical quantum gravity in the nonrelativistic approximation. We also indicate that the effects of Newtonian dynamics modified by the spin-connection foam may be observable in the Solar System and even in laboratory experiments.

gr-qc↗

arXiv2023

The Milgromian acceleration and the cosmological constant from precanonical quantum gravity

We show that the Milgromian acceleration of MOND and the cosmological constant can be understood and quantified as the effects of quantum fluctuations of spin connection which are described by precanonical quantum gravity put forward by one of us earlier. We also show that a MOND-like modification of Newtonian dynamics at small accelerations emerges from this picture in the non-relativistic approximation.

gr-qc↗

arXiv1994

On Transformations Preserving the Basis Conditions of a Spin Structure Group in Four-Dimensional Super String Theory in Free Fermionic Formulation

Let $Ξ$ stand for a finite abelian spin structure group of four-dimensional superstring theory in free fermionic formulation whose elements are 64-dimensional vectors (spin structure vectors) with rational entries belonging to $\rbrack -1,\, 1\rbrack $ and the group operation is the $mod\, \, 2 $ entry by entry summation $\oplus $ of these vectors. Let $B=\{b_i,\, i= 1,\cdots ,k+1\}$ be a set of spin structure vectors such that $b_i$ have only entries 0 and 1 for any $\, i= 1,\cdots ,k$, while $b_{k+1}$ is allowed to have any rational entries belonging to $\rbrack -1,\, 1\rbrack $ with even $N_{k+1}$, where $N_{k+1}$ stands for the least positive integer such that $N_{k+1}b_{k+1}= 0\,mod\,2$. Let $B$ be a basis of $Ξ$, i.e., let $B$ generate $Ξ$, and let $Λ_{m, n}$ stand for the transformation of $B$ which replaces $b_n$ by $b_m\oplus b_n$ for any $m \ne k+1$, $n \ne 1$, $m \ne n$. We prove that if $B$ satisfies the axioms for a basis of spin structure group $Ξ$, then $B'=Λ_{m, n}B$ also satisfies the axioms. Since the transformations $Λ_{m,n}$ for different $m$ and $n$ generate all nondegenerate transformations of the basis $B$ that preserve the vector $b_1$ and a single vector $ b_{k+1} $ with general rational entries, we conclude that the axioms are conditions for the whole group $Ξ$ and not just conditions for a particular choice of its basis. Hence, these transformations generate the discrete symmetry group of four-dimensional superstring models in free fermionic formulation.

hep-th↗