Gravitation in 4D Euclidean Space-Time Geometry

TL;DR

This paper explores a Euclidean space-time model for special relativity, incorporating variable speed of light and general covariance, and reconstructs a gravity model consistent with this Euclidean framework.

Contribution

It presents a reinterpretation of Broekaert's gravity model within a Euclidean 4D space-time, aligning it with the proposed Euclidean approach to relativity.

Findings

Reconstructed Broekaert's gravity model in Euclidean space-time

Demonstrated compatibility with Euclidean principles after reinterpretation

Extended the Euclidean interpretation to include gravitation phenomena

Abstract

The Euclidean interpretation of special relativity which has been suggested by the author is a formulation of special relativity in ordinary 4D Euclidean space-time geometry. The natural and geometrically intuitive generalization of this view involves variations of the speed of light (depending on location and direction) and a Euclidean principle of general covariance. In this article, a gravitation model by Jan Broekaert, which implements a view of relativity theory in the spirit of Lorentz and Poincare, is reconstructed and shown to fulfill the principles of the Euclidean approach after an appropriate reinterpretation.