New concept for quantification of similarity relates entropy and energy of objects: First and Second Law entangled, equivalence of temperature and time proposed

TL;DR

This paper introduces a novel energy-entropy relationship linking entropy and energy of objects, proposing a unified view of temperature and time, with implications for black hole classification and cosmology.

Contribution

It derives a fundamental energy-entropy relationship and proposes the equivalence of temperature and time, offering new insights into physical laws and cosmological constants.

Findings

A linear dependence between energy and entropy changes is established.

A method for classifying mini black holes by energy and entropy is predicted.

Absolute temperature and time are proposed as equivalent in an isolated universe.

Abstract

When the difference between changes in energy and entropy at a given temperature is correlated with the ratio between the same changes in energy and entropy at zero average free energy of an ensemble of similar but distinct molecule-sized objects, a highly significant linear dependence results from which a relationship between energy and entropy is derived and the degree of similarity between the distinctly different members within the group of objects can be quantified. This fundamental energy-entropy relationship is likely to be of general interest in physics, most notably in particle physics and cosmology. We predict a consistent and testable way of classifying mini black holes, to be generated in future Large Hadron Collider experiments, by their gravitational energy and area entropy. For any isolated universe we propose absolute temperature and absolute time to be equivalent, much in the same way as energy and entropy are for an isolated ensemble of similar objects. According to this principle, the cosmological constant is the squared product of absolute time and absolute temperature. The symmetry break into a time component and a temperature component of the universe takes place when the first irreversible movement occurs owing to a growing accessed total volume.