A conjecture of thermo-gravitation based on geometry, classical physics and classical thermodynamics

TL;DR

This paper explores deep connections between geometry, classical mechanics, and thermodynamics, proposing a new conjecture of thermo-gravitation based on analogies among their fundamental laws.

Contribution

It introduces a novel conjecture linking thermodynamics and gravitation through geometric and mechanical analogies, highlighting interdisciplinary symmetries.

Findings

Identifies similarities among basic laws across disciplines

Proposes a new law of thermo-gravitation based on geometric analogy

Suggests deep connections between thermodynamics and gravity

Abstract

One of the goals that physicists have been pursuing is to get the same explanation from different angles for the same phenomenon, so as to realize the unity of basic physical laws. Geometry, classical mechanics and classical thermodynamics are three relatively old disciplines. Their research methods and perspectives for the same phenomenon are quite different. However, there must be some undetermined connections and symmetries among them. In previous studies, there is a lack of horizontal analogical research on the basic theories of different disciplines, but revealing the deep connections between them will help to deepen the understanding of the existing system and promote the common development of multiple disciplines. Using the method of analogy analysis, five basic axioms of geometry, four laws of classical mechanics and four laws of thermodynamics are compared and analyzed. The similarity and relevance of basic laws between different disciplines is proposed. Then, by comparing the axiom of circle in geometry and Newton's law of universal gravitation, the conjecture of the law of thermo-gravitation is put forward.