Comparative Analysis of Length Deformation in Classical and Relativistic Mechanics

Soumendra Nath Thakur

doi:10.20944/preprints202405.1271.v1

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preprints.org > physical sciences > theoretical physics > doi: 10.20944/preprints202405.1271.v1

Preprint Review Version 1 Preserved in Portico This version is not peer-reviewed

Comparative Analysis of Length Deformation in Classical and Relativistic Mechanics

Soumendra Nath Thakur

Version 1 : Received: 18 May 2024 / Approved: 20 May 2024 / Online: 20 May 2024 (12:17:56 CEST)

How to cite: Thakur, S. N. Comparative Analysis of Length Deformation in Classical and Relativistic Mechanics. Preprints 2024, 2024051271. https://doi.org/10.20944/preprints202405.1271.v1 Thakur, S. N. Comparative Analysis of Length Deformation in Classical and Relativistic Mechanics. Preprints 2024, 2024051271. https://doi.org/10.20944/preprints202405.1271.v1

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MDPI and ACS Style

Thakur, S. N. Comparative Analysis of Length Deformation in Classical and Relativistic Mechanics. Preprints 2024, 2024051271. https://doi.org/10.20944/preprints202405.1271.v1

APA Style

Thakur, S. N. (2024). Comparative Analysis of Length Deformation in Classical and Relativistic Mechanics. Preprints. https://doi.org/10.20944/preprints202405.1271.v1

Chicago/Turabian Style

Thakur, S. N. 2024 "Comparative Analysis of Length Deformation in Classical and Relativistic Mechanics" Preprints. https://doi.org/10.20944/preprints202405.1271.v1

Abstract

This study presents a comparative analysis of length deformation in Classical and Relativistic Mechanics, specifically investigating 10-gram objects accelerating to 1% of the speed of light. By employing Hooke's Law in Classical Mechanics and the Relativistic Lorentz Factor, the research explores the implications of acceleration dynamics and the limitations inherent in Relativistic Mechanics. The results reveal significant differences in predicted length changes between the two frameworks, emphasizing the necessity of considering relativistic effects beyond velocity alone. This study underscores the critical importance of addressing the incomplete treatment of acceleration dynamics in Relativistic Mechanics to achieve a more accurate depiction of length deformation in high-speed scenarios.

Keywords

length deformation; classical mechanics; relativistic mechanics; Hooke's Law; Lorentz factor; acceleration

Subject

Physical Sciences, Theoretical Physics

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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