MOND's acceleration scale as a fundamental quantity

TL;DR

This paper explores the idea that the MOND acceleration scale a_0 may be a fundamental constant influencing self-gravitating structures across cosmic scales, based on quantum-cosmic scaling relations and black hole mass quantization.

Contribution

It proposes a novel perspective linking MOND's acceleration parameter to fundamental quantum and cosmological principles, suggesting a universal role across cosmic structures.

Findings

a_0 linked to primordial black hole masses

quantum-cosmic scaling relations support a_0 as fundamental

potential unification of gravity and quantum mechanics

Abstract

Some quantum-cosmic scaling relations indicate that the MOND acceleration parameter a_0 could be a fundamental quantity ruling the self-gravitating structures, ranging from stars and globular clusters up to superclusters of galaxies and the whole observed universe. We discuss such coincidence relations starting from the Dirac quantization condition ruling the masses of primordial black holes.