On the existence of undistorted progressive waves (UPWs) of arbitrary speeds 0≤ϑ

Foundations of Physics (Impact Factor: 1.14). 03/1997; 27(3):435-508. DOI: 10.1007/BF02550165

ABSTRACT We present the theory, the experimental evidence and fundamental physical consequences concerning the existence of families
of undistorted progressive waves (UPWs) of arbitrary speeds 0≤ϑ<∞, which are solutions of the homogeneuous wave equation,
the Maxwell equations, and Dirac, Weyl, and Klein-Gordon equations.

  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: Extending EM and Quantum Theory suggests the possibility of photon mass, additional terms for Maxwell’s equations, reality of de Broglie-Bohm causality and the Vigier model of extended charged particles. Experimental tests indicative of these hypotheses can be performed with double-slit interferometry of single visible wavelengths comparing near and far field sources over laboratory and various cosmological distances to observe the possibility of spreading of the photon wavepacket during propagation. These observations could determine whether nonlinearities causing non-dispersivity are associated with Maxwell’s equations. If so, this may be an indirect determination of nonzero restmass photon anisotropy, de Broglie photon piloting and vacuum permittivity reincarnating the Michelson-Morley experiment in terms of a Dirac covariant ether.
    12/2002: pages 147-156;
  • Source
  • [Show abstract] [Hide abstract]
    ABSTRACT: Superluminal particles are studied within the framework of the Extended Relativity theory in Clifford spaces (C-spaces). In the simplest scenario, it is found that it is the contribution of the Clifford scalar component π of the poly-vector-valued momentum which is responsible for the superluminal behavior in ordinary spacetime due to the fact that the effective mass $\mathcal{M} = \sqrt{ M^{2} - \pi^{2} }$ is imaginary (tachyonic). However, from the point of view of C-space, there is no superluminal (tachyonic) behavior because the true physical mass still obeys M 2>0. Therefore, there are no violations of the Clifford-extended Lorentz invariance and the extended Relativity principle in C-spaces. It is also explained why the charged muons (leptons) are subluminal while its chargeless neutrinos may admit superluminal propagation. A Born’s Reciprocal Relativity theory in Phase Spaces leads to modified dispersion relations involving both coordinates and momenta, and whose truncations furnish Lorentz-violating dispersion relations which appear in Finsler Geometry, rainbow-metrics models and Double (deformed) Special Relativity. These models also admit superluminal particles. A numerical analysis based on the recent OPERA experimental findings on alleged superluminal muon neutrinos is made. For the average muon neutrino energy of 17 GeV, we find a value for the magnitude $|\mathcal{M } | = 119.7\mbox{~MeV}$ that, coincidentally, is close to the mass of the muon m μ =105.7 MeV.
    Foundations of Physics 09/2012; 42(9). · 1.14 Impact Factor

Full-text (2 Sources)

Available from
May 22, 2014