15 May 2024

Limitations in the Lorentz Transformation: Integrating Classical Mechanics and Relativity

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

15-05-2024

The Lorentz transformation describes relativistic effects such as time dilation, length contraction, and mass increase as objects approach the speed of light. However, it does not directly account for acceleration. When velocity-dependent Lorentz transformation significantly cannot achieve velocity (v) between the rest frame and an inertial frame in motion without acceleration, it highlights a gap in its applicability. This underscores the need to recognize the importance of incorporating acceleration into the understanding of relativistic effects.

It's worth noting that Lorentz transformation is a final form in science, developed by Mr. Lorentz, and any adjustments to its framework would not be feasible without him. However, considering that the idea of acceleration predated Mr. Lorentz, there's an expectation for the correct accounting of physics, including honouring Isaac Newton's second law, within the Lorentz transformation. While the scientific community did not initially challenge Lorentz transformation for lacking an explanation of acceleration in its calculations, it is crucial to recognize the importance of integrating principles from classical mechanics, such as Newton's second law, to address these limitations.

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