Algebrodynamics: Super-Conservative Collective Dynamics on a “Unique Worldline” and the Hubble Law

IF 1.2 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Gravitation and Cosmology Pub Date : 2023-04-04 DOI:10.1134/S0202289323010048

V. V. Kassandrov, Ildus Sh. Khasanov

引用次数: 0

Abstract

We study the properties of roots of a polynomial system of equations which define a set of identical point particles located on a Unique Worldline (UW), in the spirit of the Wheeler–Feynman’s old conception. As a consequence of Vieta’s formulas, a great number of conservation laws are fulfilled for collective algebraic dynamics on the UW. These, besides the canonical ones, include the laws with higher derivatives and those containing multiparticle correlation terms as well. On the other hand, such a “super-conservative” dynamics turns out to be manifestly Lorentz invariant and quite nontrivial. At great values of “cosmic time” \(t\), the roots-particles demonstrate universal recession (resembling that in the Milne’s cosmology and simulating “expansion” of the Universe), for which the Hubble’s law holds true, with the Hubble parameter inversely proportional to \(t\).

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代数动力学:“独特世界线”上的超保守集体动力学和哈勃定律

在惠勒-费曼旧概念的精神下，我们研究了一个多项式方程组的根的性质，该方程组定义了位于唯一世界线上的一组相同的点粒子。由于Vieta的公式，在UW上的集体代数动力学满足了大量的守恒定律。这些定律，除了典型的，还包括具有较高导数的定律和那些包含多粒子相关项的定律。另一方面，这样的“超保守”动力学被证明是明显的洛伦兹不变量和相当不平凡的。在“宇宙时间”\(t\)的大值处，根粒子表现出普遍的衰退(类似于米尔恩的宇宙学，模拟宇宙的“膨胀”)，哈勃定律对其成立，哈勃参数与\(t\)成反比。

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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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