Connecting Quantum and Cosmic Scales by a Decreasing-Light-Speed Model

TL;DR

This paper proposes a cosmological model linking the universe's scale to Planck units, suggesting a decreasing speed of light over time, which impacts quantum cosmology and the universe's entropy evolution.

Contribution

It introduces a model connecting cosmic expansion with a variable speed of light, unifying quantum and cosmological scales through proportional relationships to Planck units.

Findings

Universe's radius, age, and mass are proportional to Planck units.

The universe's entropy remains constant over time.

Quantum effects were smaller in the past, resolving conflicts with general relativity.

Abstract

In this paper we point out that the radius R, the age t and the mass M of the observable Universe are proportional to Planck units for length lp, time tp and mass mp.This hypothesis is related, by a cosmological model linking the universal expansion to the speed of light, with a time variation of c and of the Planck constant, which implies that lp and tp increase with time while mp remains constant. We discuss some of the implications these relationships could have on quantum cosmology and obtain that the Universe entropy associated to the event horizon is constant along its history. Quantum effects were smaller in the past, in such a way that their conflict with general relativity about the Planck era vanishes.