A unified theory for construction of arbitrary speeds (0 < = v < ∞) solutions of the relativistic wave equations
Waldyr A. Rodrigues, Jose E. Maiorino
Abstract
Representing the relativistic physical fields as sections of the Clifford Bundle (or of the Spin-Clifford Bundle) of Minkowski spacetime we show that all the relativistic wave equations satisfied by these fields possess solutions traveling with arbitrary speeds 0 ≤ v < ∞. By giving rigorous mathematical definitions of reference frames and of the Principle of Relativity (PR) we prove that physical realizations of the v > 1 solutions of, e.g., the Maxwell equations imply in a breakdown of the PR, but in no contradiction at all with known physical facts.
Create a lesson
Related papers
On some nonlinear extensions to Maxwell's electrodynamics
Bertrand Berche, Ernesto Medina
On-Chip Shaping of Surface Acoustic Waves via Continuous Diffractive Modulation
Yuanpeng Ma, Yang Zhao, Shangyang Chen et al.
A Shape-Preserving Shell Theorem
Penelope Messinger, Stephany M. Rodriguez, Trung V. Phan
The dual-array RopeComb: a guide-balanced transmission with synthesisable rising mechanical advantage for impedance-matched launch
Rami N. Mahdi
Automated Sailboat Navigation using Controllabilty-Aware Nonlinear Model Predicitive Control under Stochastic Winds
Junzhuo Wu, Ya-Jun J Pan, Chao Shen et al.
Restoring Invariance to the Mechanical Wave Equation across Inertial Frames
Ashmeet Singh, Heather Romero Michel