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 examples
physics.gen-ph↗
arXiv subjects
Sanjay M Wagh
Publications and source records attributed to Sanjay M Wagh.
Emission Origin for the Wave of Quanta
We argue that certain assumptions about the process of the emission of the quanta by their (oscillating) emitter provide for their changing (oscillatory) flux at any location. This mechanism underlying (such) wave phenomena is not based, both, on the newtonian notion of force and the field concept (of Faraday, Maxwell, Lorentz and Einstein). When applied to the case of thermal radiation, this emission origin for the wave of quanta is shown here to be consistent with the laws of the black body radiation. We conclude therefore also that a conceptual framework, which is not rooted in the notion of force and in the field concept, may provide a deterministic basis underlying the probabilistic methods of the quantum theory.
physics.gen-ph↗
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.
physics.gen-ph↗
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 $δc/c \approx (4.8\pm5.3)\times10^{-12}$. We comment here on the theoretical significance of this experimental result.
physics.gen-ph↗
Beyond Einstein ... Are we all afraid of the Truth?
The power-point presentation \cite{ppt} provided herein shows exactly why Einstein's field equations of his general relativity are based on an illogical approach to representing the observable world. Einstein had, in fact, discarded these equations way back in 1928 when he had began his solitary search for a unified field theory. However, the rest of us learned, taught, and also put too much faith for too long (for more than seventy years) in an illogical approach to representing the observable world. Consequently, we have developed great reluctance, resulting from dogmatic perceptions, prestige, reputation, ..., that is holding us back from orienting ourselves in the ``right'' direction to the understanding of the observable phenomena. This raises the question mentioned in the title: Are we all afraid of the Truth? Rhetorically speaking, we could then also ask: are we all afraid of Virginia Woolf? In the sequel, I also illustrate my approach to going Beyond Einstein for developing an appropriate mathematical framework for the fundamental physical ideas behind the General Principle of Relativity, for the unification of fundamental physical interactions and, hence, for a theory of everything.
physics.gen-ph↗
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.
physics.gen-ph↗
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.
physics.gen-ph↗
The Significance of the General Principle of Relativity
In this note, we discuss the significance of the general principle of relativity for a physical theory that abandons the newtonian concept of force and, hence, uses an entirely different conception for the ``cause'' behind motions of material bodies.
physics.gen-ph↗
Spherical gravitational collapse and electromagnetic fields in radially homothetic spacetimes
We consider a spherically symmetric, Petrov-type D, spacetime with hyper-surface orthogonal, radial, homothetic Killing vector. In this work, some general properties of this spacetime for non-singular and non-degenerate data are presented. We also present the source-free electromagnetic fields in this spacetime. We then discuss general astrophysical relevance of the results obtained for this spacetime.
astro-ph↗
Radially homothetic spacetime is of Petrov-type D
It is well-known \cite{mtbh} that {\em all} black hole solutions of General Relativity are of Petrov-type D. It may thus be expected that the spacetime of {\em physically realizable} spherical gravitational collapse is also of Petrov-type D. We show that a radially homothetic spacetime, {\em ie}, a spherically symmetric spacetime with hyper-surface orthogonal, radial, homothetic Killing vector, is of Petrov-type D. As has been argued in \cite{prl1}, it is a spacetime of {\em physically realizable} spherical collapse.
gr-qc↗
Spherical Gravitational Collapse and Accretion - Exact General Relativistic Description
In this paper, we consider the problems of spherical gravitational collapse and accretion using a spherically symmetric, spatially homothetic spacetime, that is, as an exact solution (cqg1) of the field equations of general relativity. Properties of matter like its equation of state determine whether the collapse becomes unstoppable or not since the spacetime under consideration admits any equation of state for matter in it. We can therefore describe the formation of a semi-stable object here. {\bf A black hole may form in the unstoppable gravitational collapse and/or accretion but only as an infinite red-shift surface that is, however, not a null hyper-surface.} Therefore, spherical, astrophysical black holes will always be of this type. This result will have important implications for observational astrophysics and other considerations in General Relativity based on the conception of black hole as a null hyper-surface.
astro-ph↗
Mach's Principle and Spatial Scale-Invariance of Gravity
Gravity does not provide any scale for matter properties. We argue that this is also the implication of Mach's hypothesis of the relativity of inertia. The most general spacetime compatible with this property of gravity is that admitting three, independent spatial homothetic Killing vectors generating an arbitrary function of each one of the three spatial coordinates. The matter properties for such a spacetime are (spatially) arbitrary and the matter generating the spacetime admits {\it any} equation of state. This is also the most general spacetime containing the weak gravity physics in its entirety. This spacetime is machian in that it is {\em globally} degenerate for anti-machian situations such as vacuum, a single matter particle etc. and, hence, has no meaning in the absence of matter.
gr-qc↗