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Relativity of Spatial Concurrence and Relativistic Non-Localization

Gajendra Singh Solanki

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Abstract

The unique time of a frame does not transform to a unique time of the other frame under the current framework of special relativity, which is accepted as an inherent principle called the simultaneity of relativity. In our first paper ‘Rudiments of relativity revisited’, a setup is devised to show how these transformed times can be illusory and can not be associated with any real clock. This endeavor is an investigation if it is possible to develop an alternative mathematical framework of special relativity under the same two postulates but guided by Kishori’s axioms, which directly relates the unique times of the two frames. This paper succeeds to lay down the foundation of a framework that adopts the relativity of spatial concurrence replacing the relativity of simultaneity. Further, this new formulation asserts the relativistic non-localization of particles like photons, exhibiting quantum physical attributes as an inherent aspect of relativity.

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The unique time of a frame does not transform to a unique time of the other frame under the current framework of special relativity, which is accepted as an inherent principle called the simultaneity of relativity. In our first paper ‘Rudiments of relativity revisited’, a setup is devised to show how these transformed times can be illusory and can not be associated with any real clock. This endeavor is an investigation if it is possible to develop an alternative mathematical framework of special relativity under the same two postulates but guided by Kishori’s axioms, which directly relates the unique times of the two frames. This paper succeeds to lay down the foundation of a framework that adopts the relativity of spatial concurrence replacing the relativity of simultaneity. Further, this new formulation asserts the relativistic non-localization of particles like photons, exhibiting quantum physical attributes as an inherent aspect of relativity.

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Available abstract

The unique time of a frame does not transform to a unique time of the other frame under the current framework of special relativity, which is accepted as an inherent principle called the simultaneity of relativity. In our first paper ‘Rudiments of relativity revisited’, a setup is devised to show how these transformed times can be illusory and can not be associated with any real clock. This endeavor is an investigation if it is possible to develop an alternative mathematical framework of special relativity under the same two postulates but guided by Kishori’s axioms, which directly relates the unique times of the two frames. This paper succeeds to lay down the foundation of a framework that adopts the relativity of spatial concurrence replacing the relativity of simultaneity. Further, this new formulation asserts the relativistic non-localization of particles like photons, exhibiting quantum physical attributes as an inherent aspect of relativity.

Key concepts: Theory of relativity, Four-force, Special relativity, Twin paradox, Axiom, Problem of time, Principle of relativity, Tests of special relativity

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