On the significance of the Braxmaier et al. Laser Interferometry Experiment of 2002 for a Theory of Relativity

A recent laser interferometry experiment [Phys. Rev. Lett., Vol. 88, 10401 (2002)] registered a non-detection of a frequency shift that amounts to a fractional change in the speed of light $\delta c/c \approx (4.8\pm5.3)\times10^{-12}$. We comment here on the theoretical significance of this experimental result.Comment: 4 pages, submitted for publicatio

Towards a Universal Theory of Relativity

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.Comment: Essay for Gravity Research Foundation competition - 200

Some fundamental issues in General Relativity and their resolution

The purpose of this article is to draw attention to some fundamental issues in General Relativity. It is argued that these deep issues cannot be resolved within the standard approach to general relativity that considers {\em every} solution of Einstein's field equations to be of relevance to some, hypothetical or not, physical situation. Hence, to resolve the considered problems of the standard approach to general relativity, one must go beyond it. A possible approach, a theory of everything, is outlined in the present article and will be developed in details subsequently.Comment: 30 pages, double colum

Explaining the equality of inertia and gravitational mass

The equality of the inertia and the gravitational mass of a body is explained in a very general manner. We also motivate this explanation by providing analogous examplesComment: To Physics Community At Large: Comments would be most welcom

Universal Theory of Relativity and the "Unification" of Fundamental Physical Interactions

The ``unification'' of fundamental physical forces (interactions) imagines a ``single'' conceptual entity using which {\em all} the observable or physical phenomena, {\em ie}, changes to physical bodies, would be suitably describable. The physical, conceptual and mathematical, framework which achieves this is that of the recently proposed Universal Theory of Relativity \cite{smw-utr}. Here, we argue that the mathematical framework required to achieve the ``unification'' should be that of the general Category Theory. There are certain unanswered mathematical questions arising out of this context. In the sequel, we also point out these issues for the wider attention.Comment: 8 pages, double spaced, no figure

On the continuum origin of Heisenberg's indeterminacy relations

If space is indistinguishable from the extension of a physical body, as is Descartes's conception, then transformations of space become transformations of physical bodies. Every point of space then has properties of physical bodies in some suitable non-singular sense of average over the space. Every point of space is then thinkable as a non-singular point particle possessing such (averaged) physical properties. Then, the location of such a point particle is, relative to another (similar) point particle, {\em indeterminate} over the extension of the physical body. Further, transformations of the space may ``move'' such a point particle in relation to another such point particle. These notions then provide a non-probabilistic explanation of Heisenberg's indeterminacy relations.Comment: 5 pages, double spaced. to be submitted to General Relativity & Gravitation, Comments and Criticisms would be most welcom

Progress with a Universal Theory of Relativity

In this presentation, I will summarize the present status of the developments with a Universal Theory of Relativity \cite{smw-utr}. Some general challenges to be overcome will also be discussed.Comment: 5 pages, 4 figures, Talk Presented at the South African Relativity Society's Einstein Centennial Meeting, September 25 - 26, 2005, Durban, South Afric

Categorical Foundations for Physics - I: Program at a Glance

Measures in the context of Category Theory lead to various relations, even differential relations, of categories that are independent of the mathematical structure forming objects of a category. Such relations, which are independent of mathematical structure that we may represent a physical body or a system of reference with, are, precisely, demanded to be the Laws of Physics by the General Principle of Relativity. This framework leads to a theory for the physical entirety.Comment: title changed, substantial changes to include mathematical detail

Einsteinian Field Theory as a Program in Fundamental Physics

I summarize here the logic that leads us to a program for the Theory of the Total Field in Einstein's sense. The purpose is to show that this theory is a logical culmination of the developments of (fundamental) physical concepts and, hence, to initiate a discussion of these issues.Comment: 28 pages, double spaced, comments and criticisms most welcom

Universal Relativity and Its Mathematical Requirements

In this presentation, I review physical principles behind a recently proposed \cite{smw-utr} Universal Theory of Relativity and speculate on the mathematical requirements implied by these physical principles. Some unresolved issues will also be discussed.Comment: 8 pages, Talk presented at the South African Mathematical Society's 48th Meeting, October 31 - November 2, 2005, Rhodes University, Grahamstown, South Afric