05 August 2024

Erroneous Transformations: Lorentz Factor in Classical Mechanics

Soumendra Nath Thakur
ORCiD: 0000-0003-1871-7803

05-08-2024

Abstract:

The Lorentz factor,  γ = 1/√(1-v²/c²), is a mathematical construct developed by Hendrik Lorentz and later incorporated into Albert Einstein's theory of special relativity. This factor, along with its associated transformations, introduces concepts specific to relativistic mechanics that deviate from classical mechanics. While the Lorentz factor and transformations are integral to special relativity, they can be seen as "simple transformations" within relativity, contrasting with the "deformations" observed in classical mechanics. Classical mechanics remains effective in describing motion and gravitational interactions, even at speeds approaching the speed of light, as evidenced by research on the Coma cluster of galaxies by A. D. Chernin et al., which integrates classical mechanics with considerations of dark energy and local dynamical effects. The Lorentz factor’s role in special relativity highlights the non-intuitive modifications introduced by relativity to classical concepts. Ultimately, it serves as a mathematical tool rather than a physical theory, reflecting Einstein's unconventional integration of mathematical concepts into physical theory.

(Here comes the explanation, proof, and examples for the above statement...)

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