Non-Newtonian Gravity, Fluctuative Hypothesis and the Sizes of Astrophysical Structures

TL;DR

This paper proposes a phenomenological relation linking the sizes of large astrophysical structures to microscopic scales like the proton's Compton wavelength, suggesting a non-Newtonian gravity framework with Yukawa corrections.

Contribution

It introduces a novel connection between astrophysical sizes and microscopic quantum scales, supporting non-Newtonian gravity models with Yukawa-type modifications.

Findings

Characteristic sizes relate to proton's Compton wavelength.

Supports absence of screening mechanisms in gravity.

Justifies vector boson mass for galaxy sizes.

Abstract

We show that the characteristic sizes of astrophysical and cosmological structures, where gravity is the only overall relevant interaction assembling the system, have a phenomenological relation to the microscopic scales whose order of magnitude is essentially ruled by the Compton wavelength of the proton. This result agrees with the absence of screening mechanisms for the gravitational interaction and could be connected to the presence of Yukawa correcting terms in the Newtonian potential which introduce typical interaction lengths. Furthermore, we are able to justify, in a straightforward way, the Sanders--postulated mass of a vector boson considered in order to obtain the characteristic sizes of galaxies.