Are Dark Matter and Dark Energy the Residue of the Expansion-Reaction to the Big Bang ?

TL;DR

This paper proposes a novel cosmological model where dark matter and dark energy are residual effects of the universe's expansion reaction following the Big Bang, derived from an electromagnetic radiation reaction analogy.

Contribution

It introduces a new model applying the Lorentz-Dirac equation to cosmology, explaining dark matter and dark energy as expansion reaction residues within the Robertson-Walker framework.

Findings

Derives Milgrom square-law acceleration from expansion reaction.

Suggests energy density matches critical density for universe flattening.

Proposes a testable model linking dark phenomena to expansion reaction.

Abstract

We derive the phenomenological Milgrom square-law acceleration, describing the apparent behavior of dark matter, as the reaction to the Big Bang from a model based on the Lorentz-Dirac equation of motion traditionally describing radiation reaction in electromagnetism but proven applicable to expansion reaction in cosmology. The model is applied within the Robertson-Walker hypersphere, and suggests that the Hubble expansion exactly cancels the classical reaction imparted to matter following the Big Bang, leaving behind a residue proportional to the square of the acceleration. The model further suggests that the energy density associated with the reaction acceleration is precisely the critical density for flattening the universe thus providing a potential explanation of dark energy as well. A test of this model is proposed.