Preprint Article Version 1 This version is not peer-reviewed

The Kinetic Energy of Relativistic Particles

Version 1 : Received: 6 November 2024 / Approved: 7 November 2024 / Online: 7 November 2024 (14:55:32 CET)

How to cite: Pereira, M. The Kinetic Energy of Relativistic Particles. Preprints 2024, 2024110554. https://doi.org/10.20944/preprints202411.0554.v1 Pereira, M. The Kinetic Energy of Relativistic Particles. Preprints 2024, 2024110554. https://doi.org/10.20944/preprints202411.0554.v1

Abstract

This paper presents a novel approach to relativistic kinetic energy through the lens of the Hypergeometrical Universe (HU) Theory, introducing an Absolute Reference Frame (ARF) that fundamentally reinterprets the Lorentz transformation. HU suggests that the physics underlying Lorentz transformations is not an intrinsic time dilation or relativistic mass increase but rather an Absolute-Velocity-Dependent Force. This force diminishes at high velocities, effectively tapering off particle interactions and yielding a bounded kinetic energy that matches classical expectations at the speed of light: KE = mc**2 /2. This model contrasts sharply with conventional relativity, which predicts unbounded kinetic energy as velocity approaches c. This theoretical divergence finds a compelling empirical anchor in the unusual case of Soviet scientist Anatoli Bugorski, who survived exposure to a high-energy proton beam. While relativistic models would predict an energy deposition near 4.6 kJ, likely resulting in fatal damage, Bugorski’s injuries aligned closely with HU’s prediction of a capped energy deposition, around 0.285 J. The HU model explains this outcome as a natural consequence of diminished force interactions at relativistic speeds, leading to reduced energy transfer upon impact. This reframing has significant implications for high-energy physics and particle penetration in solid materials. According to HU, reduced force efficiency at high velocities leads to phenomena traditionally interpreted as time dilation and relativistic mass. For example, at near-light speeds, particles encounter lower interaction cross-sections, resulting in greater penetration, not because of a true mass increase but due to a physical tapering of the HU force. The paper proposes calorimetric experiments in particle accelerators to empirically differentiate between HU and relativistic predictions. By measuring thermal energy deposition instead of relying on penetration depth, these experiments could directly observe the Absolute-Velocity-Dependent Force in action. This approach could profoundly impact our understanding of high-energy dynamics, particularly in applications like spacecraft shielding. This work invites experimental physicists and theorists to explore HU’s framework through accessible computational models and experimental designs provided in accompanying GitHub repositories. This innovative model challenges the established foundations of relativity and offers a new perspective on high-velocity particle interactions, making it a pivotal contribution to modern physics and potential aerospace applications.

Keywords

relativity; classical mechanics

Subject

Physical Sciences, Applied Physics

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