Towards a Universal Theory of Relativity

Abstract

We discuss here the significance of the generalization of the newtonian concept of force by that of a transformation of a certain Standard Borel Space of cardinality $\mathbf{c}$ of the continuum as the ``cause'' behind motions of material bodies that are representable as Borel measurable subsets of this space. This generalization forms the basis for a Universal Theory of Relativity in which, importantly, the fundamental physical constants can only arise from mutual relationships of the so-defined physical bodies. This Universal Relativity also has the potential to explain the quantum nature of the physical world.

Essay for Gravity Research Foundation competition - 2005

References in corpus (7)

• Foundations of a Universal Theory of Relativity
• Special Relativity as a Physical Theory
• Einsteinian Field Theory as a Program in Fundamental Physics
• On the continuum origin of Heisenberg's indeterminacy relations
• Some fundamental issues in General Relativity and their resolution
• Heuristic approach to a {\em natural} unification of the Quantum Theory and the General Theory of Relativity
• The Significance of the General Principle of Relativity

Cited by in corpus (1)

• Foundations of a Universal Theory of Relativity