2019/03/21 by Jean‐Paul Caltagirone, Jean-Paul Caltagirone, Caltagirone, Jean-Paul
Computer Science · Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Classical Physics (physics.class-ph) #Computer Graphics and Visualization Techniques #FOS: Physical sciences #Geotechnical and Geomechanical Engineering #physics.class-ph
paper · pdf · doi:10.48550/arxiv.1903.08911
arxiv created 2019/03/21 · openalex publication_date 2019/03/21 · arxiv updated 2019/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The study of the evolution of the dynamics of a massive or massless particle shows that in special relativity theory, the energy is not conserved. From the law of evolution of the velocity over time of a particle subjected to a constant acceleration, it is possible to calculate the total energy acquired by this particle during its movement when its velocity tends towards the celerity of light. The energy transferred to the particle in relativistic mechanics overestimates the theoretical value. Discrete mechanics applied to this same problem makes it possible to show that the movement reflects that of Newtonian mechanics at low velocity, to obtain a velocity which tends well towards the celerity of the medium when the time increases, but also to conserve the energy at its theoretical value. This consistent behavior is due to the proposed physical analysis based on the compressible nature of light propagation.