A Travelling Wave Group III—Consistent with QED

Abstract

The travelling wave group is a stable wave packet. Many surprising results are derived from it. The group is easily quantized for photons and applied, as a solution to the relativistic Klein-Gordon equation, to free particles. Further solutions to the resulting algebraic equation provide a stable wave function for free antiparticles. Consistency with the superstructure of quantum electrodynamics is obtained by an assignment to the electron antiparticle of negative mass and negative charge. Then in 5-dimensional space-time-mass, CPT invariance transforms to M'PT conservation in either charged or neutral particles, while many other consequences are also evident.

The Stable Wave Packet in the Foundations of Quantum Mechanics

“…However, when analyzing the velocities, a singularity appears when his k = m 0 , and this would give rise to unphysical results. In particular, the group velocity would break the light barrier and would extend to infinity; while the phase velocity would fall to zero [6]. Besides being unphysical in relativity, there is no experimental evidence for such features, so we return to basics.…”

“…There are further implications for symmetry, gravity, and yet wider reaches of physics. Some supporting detail has been previously described [6]- [8]. The summary examples are as follows: 1) simulations with Maxwell's equations demonstrate that the group and phase velocities in a medium of refractive index n follow the relation g…”

Reduction of Superconducting Wave Packets in Dispersion Dynamics

“…where t' is a kind of mean time between collisions or the inverse of the number of collisions per unit time (Table 1) 4 .…”

“…When charge carriers are positive ions the Hall coefficient, R H > 0; typically, negative charges yield R H < 0. In high temperature superconductors, the charge carriers produce R H > 0, though the only positive charges are statio- 3 Pais [4] This footnote does not contribute to the debate so much as outline background for arguments given in the text. nary ions.…”

“…The phase velocity is singular in the rest frame:  . Previously we have explored implications for Equation (1) in many fields including wave packets [2]; antiparticles in force fields [3]; electromagnetic interactions in wave groups [4]; the stable wave packet in quantum mechanics [5]; and in uncertainty [6] that is further developed below; voids in the Hall effect [7] and excitons in high temperature superconductors; many-body-gravitational solutions for galactic rotational velocities [8] that obviate dark matter and dark energy; magnetic radius in intrinsic spin that is equal to the Compton wavelength [9], etc. These applications spring clean old cobwebs and provide many cases of improved clarity for the way forward.…”