Equations for Fields with Additional Fundamental Physical Constants

IF 1.2 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Gravitation and Cosmology Pub Date : 2023-09-04 DOI:10.1134/S0202289323030106

V. V. Khruschov

引用次数: 0

Abstract

The author investigates the general Lie algebra of operators of coordinates, momenta, and Lorentz group generators, which can be used in quantum gravity, theories with a generalized uncertainty principle, double and triple relativity and theories with noncommutative space-time and momentum spaces. The structure constants of this algebra depend on the constants \(c\) and \(h\) as well as additional constants with dimensions of action (\(H\)), length (\(L\)), and mass (\(M\)). In the limiting case of infinite \(H\), \(L\), and \(M\), the algebra goes into that of operators of canonical quantum theory in Minkowski space-time. Some representations of this algebra and equations for generalized fields depending on additional fundamental physical constants are given.

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附加基本物理常数场的方程

作者研究了可用于量子引力、广义不确定性原理理论、双重和三重相对论以及非交换时空和动量空间理论的坐标算子、动量算子和洛伦兹群生成算子的一般李代数。该代数的结构常数取决于常数\(c\)和\(h\)，以及具有作用(\(H\))、长度(\(L\))和质量(\(M\))维度的附加常数。在无限\(H\)、\(L\)和\(M\)的极限情况下，代数变成了闵可夫斯基时空规范量子理论算子的代数。给出了依赖于附加基本物理常数的广义场的代数和方程的一些表示。

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来源期刊

Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-

CiteScore

1.70

自引率

22.20%

发文量

审稿时长

>12 weeks

期刊介绍： Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoplesâ€™ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community

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