Cosmology in Flat Space-Time

TL;DR

This paper develops a Lorentz-invariant theory of gravitation within flat space-time, successfully predicting relativistic effects and gravitational radiation, offering an alternative to general relativity for cosmological modeling.

Contribution

It introduces a new flat space-time gravitation theory incorporating mass-energy, matching relativistic predictions and providing an alternative to Einstein's curved space-time models.

Findings

Predicts relativistic effects such as perihelion advance and gravitational redshift.

Derives equations of motion identical to electromagnetism.

Predicts gravitational radiation consistent with observations.

Abstract

Flat space-time has not heretofore been thought a suitable locus in which to construct model universes because of the presumed necessity of incorporating gravitation in such models and because of the historical lack of a theory of gravitation in flat space-time. It is here shown that a Lorentz-invariant theory of gravitation can be formulated by incorporating in it the mass-energy relation. Such a theory correctly predicts the well-known relativistic effects (advance of perihelion, gravitational refraction, gravitational red shift, echo delay of sun-grazing radio signals, and others). The equations of motion, properly stated, are also seen to be identical to those of electromagnetism and lead to the correct prediction of gravitational radiation. Therefore Milne's kinematic model of the universe, mappable into his dynamical (or Newtonian) model, offers a unique alternative to the general relativistic models which are encumbered with both theoretically and observationally objectionable features.