A Theoretical Proof for The Principle of Equivalence

Abstract

In our recent papers [1][2][3]we proposed two axioms for the primordial Space and using them we derived Newton’s law of gravity without using Kepler’s laws of planetary motion. Using our axioms, we were able to obtain cosmological equations with dark energy built-in[4]. We show here that the Principle of Equivalence which is the base for Einstein’s General theory of relativity follows from our axioms. Based on the day to day common experience Aristotle declared that the time taken by an object dropped at a height to reach the ground will depend upon the heaviness of the object; the more the object is heavy, the lesser the time it takes. After about 2000 years, Galileo took a different view and declared that the time taken by a dropped body to reach the ground is independent of its heaviness. His declaration was against the popular belief and hence he had to establish the truth of his declaration by his famous experiment from the tower of Pisa. After Galileo, several experiments with advanced techniques have confirmed time and again the result that the time taken by a dropped body to reach the ground at a height is independent of its heaviness. We show here that our axioms for Space lead us to a theoretical proof for the above experimental result, which in turn leads to the ‘Principle of Equivalence’.