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Sanjay M. Wagh

Publications and source records attributed to Sanjay M. Wagh.

At least 19 recordsLinked to original sources
arXiv2010

Explaining Michelson-Morley without Special Relativity

In this paper, we first discuss the concept of an emission wave. In the history of science, this is the first time we have discovered a new way in which (transverse) waves are realized in nature. It can therefore be expected to lead to important changes in the perspective about the nature of light or radiation. Then, we point out that the null result of the Michelson-Morley experiment is a natural and straightforward consequence of light being an emission wave. Concepts of special relativity, of length contraction and of time dilation, are not required for this explanation, however.

physics.gen-ph↗
arXiv2008

Concept of momentum-less bodies and a suggestion for its experimental verification using ultra-cold atoms

General Principle of Relativity unequivocally supports the notion of momentum-less energy for bodies (energy-quanta) moving at the {\em same} or {\em constant} speed relative to all the reference systems. In this communication, we point out that whether energy-quantum is a momentum-less body or not is verifiable using ultra-cold atoms trapped in an optical lattice, perhaps with some minor modifications to the existing such experimental setups.

physics.gen-ph↗
arXiv2006

The Gravity and The Quantum: A Bohr-inspired Synthesis

An effective angular momentum quantization condition of the form $mvr=n\hbar(m/m_F)$ is used to obtain a Bohr-like model of Hydrogen-type atoms and a modified Schrödinger equation. Newton's constant, $G$, of Gravitation gets explicitly involved through the fundamental mass $m_F$ as defined in the sequel. This non-relativistic formalism may be looked upon as a ``testing ground'' for the more general synthesis of the gravity and the quantum.

physics.gen-ph↗
arXiv2006

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.

physics.gen-ph↗
arXiv2005

Foundations of a Universal Theory of Relativity

Earlier, we had presented \cite{heuristic} heuristic arguments to show that a {\em natural unification} of the ideas of the quantum theory and those underlying the general principle of relativity is achievable by way of the measure theory and the theory of dynamical systems. Here, in Part I, we provide the complete physical foundations for this, to be called, the {\em Universal Theory of Relativity}. Newton's theory and the special theory of relativity arise, situationally, in this Universal Relativity. Explanations of quantum indeterminacy are also shown to arise in it. Part II provides its mathematical foundations. One experimental test is also discussed before concluding remarks.

physics.gen-ph↗
arXiv2005

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.

physics.gen-ph↗
arXiv2004

Special Relativity as a Physical Theory

A modest aim of this pedagogical presentation is to analyze, critically, certain fundamental physical concepts to illustrate the physical principles behind the special theory of relativity and, hence, to also illustrate the limitations of its applicability.

physics.gen-ph↗
arXiv2004

Heuristic approach to a {\em natural} unification of the Quantum Theory and the General Theory of Relativity

In non-relativistic as well as in special relativistic quantum theory, {\em mass} and {\em charge} are {\em pure numbers} appearing in various (quantum) operators and admit {\em any values}, {\it ie}, values for these quantities are to be prescribed {\em by hand}. This is, in a theory of probability, understandable since we need to {\em assume} some {\em intrinsic} properties of the object we are calculating the probability about. Then, if we {\em specify}, in some satisfactory manner, mass and charge for a point of the space in a suitable general-relativistic framework, the quantum theoretical framework could, in principle, be {\em obtainable} within it. Heuristic arguments are presented to show that a {\em natural unification} of the quantum theory and the general theory of relativity is achievable in this manner.

physics.gen-ph↗
arXiv2004

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.

physics.gen-ph↗
arXiv2004

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.

physics.gen-ph↗
arXiv2004

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.

gr-qc↗
arXiv2002

Inhomogeneous Big Bang Cosmology

In this letter, we outline an inhomogeneous model of the Big Bang cosmology. For the inhomogeneous spacetime used here, the universe originates in the infinite past as the one dominated by vacuum energy and ends in the infinite future as the one consisting of "hot and relativistic" matter. The spatial distribution of matter in the considered inhomogeneous spacetime is {\em arbitrary}. Hence, observed structures can arise in this cosmology from suitable "initial" density contrast. Different problems of the standard model of Big Bang cosmology are also resolved in the present inhomogeneous model. This inhomogeneous model of the Big Bang Cosmology predicts "hot death" for the universe.

astro-ph↗
arXiv2002

A New General Relativistic Cosmology

In this work, we outline a new general relativistic cosmology. In this cosmology, the universe originates in the infinite past from sparsely distributed neutral matter and ends in the infinite future as a hot, relativistic plasma. The spatial distribution of matter on the "initial" hyper-surface is {\em arbitrary}. Hence, observed structures can arise in this cosmology from suitable "initial" density contrast. The red-shifts of different objects in this cosmology are indicative of their different states of collapse and need not possess any correlation to their distance from the observer. Further, the microwave background radiation arises in this cosmology as thermalized radiation from all the radiating matter in the universe. This cosmology predicts that the temperature of the microwave background increases with time. Thus, any conclusive evidence that the temperature of the Microwave Background Radiation was more in the past can falsify this cosmology.

astro-ph↗
arXiv2002

Classical formulation of Cosmic Censorship Hypothesis

Spacetimes admitting appropriate spatial homothetic Killing vectors are called spatially homothetic spacetimes. Such spacetimes conform to the fact that gravity has no length-scale for matter inhomogeneities. The matter density for such spacetimes is (spatially) arbitrary and the matter generating the spacetime admits {\it any} equation of state. Spatially homothetic spacetimes necessarily possess energy-momentum fluxes. We first discuss spherically symmetric and axially symmetric examples of such spacetimes that do not form naked singularities for regular initial data. We then show that the Cosmic Censorship Hypothesis is {\em equivalent} to the statement that gravity has no length-scale for matter properties.

gr-qc↗
arXiv2002

Axially Symmetric, Spatially Homothetic Spacetimes

We show that the existence of appropriate spatial homothetic Killing vectors is directly related to the separability of the metric functions for axially symmetric spacetimes. The density profile for such spacetimes is (spatially) arbitrary and admits any equation of state for the matter in the spacetime. When used for studying axisymmetric gravitational collapse, such solutions do not result in a locally naked singularity.

gr-qc↗
arXiv2001

Naked Singularities in Spherically Symmetric, Self-Similar Spacetimes

We show that all known naked singularities in spherically symmetric self-similar spacetimes arise as a result of singular initial matter distribution. This is a result of the peculiarity of the coordinate transformation that takes these spacetimes into a separable form. Therefore, these examples of naked singularities are of no apparent consequence to astrophysical observations or theories.

gr-qc↗
arXiv2001

Spherically Symmetric, Self-Similar Spacetimes

Self-similar spacetimes are of importance to cosmology and to gravitational collapse problems. We show that self-similarity or the existence of a homothetic Killing vector field for spherically symmetric spacetimes implies the separability of the spacetime metric in terms of the co-moving coordinates and that the metric is, uniquely, the one recently reported in [cqg1]. The spacetime, in general, has non-vanishing energy-flux and shear. The spacetime admits matter with any equation of state.

gr-qc↗