Dynamics of a Relativistic Particle in Discrete Mechanics
Langue
en
Document de travail - Pré-publication
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
Discrete Mechanics
Special Relativity
Lorentz transformation
Hodge-Helmholtz decompo- sition
Relativistic particle
Origine
Importé de halUnités de recherche