The Travelling Wave Group -- 5 Departures from Dirac's Principles

The Traveling Wave Group (TWG) for a free particle is written, $\psi = A(X^{2}/2\sigma^{2}+X)$. Here, $X=i(kx-\omega t)$, $\sigma $ is an experimental initial value, with $A $a normalizing constant dependent on it, while $\omega $ is the mean angular frequency, and \textbf{\textit{k}} the mean wave vector. Unlike Dirac's unstable wave packet; the TWG is stable. From it, the following are derived: the Uncertainty Principle [1]; Planck's law; the de Broglie hypothesis; phase velocity; pseudo mass M' [2]; conservation of M'PT [3]; 5-dimensional space; mass as a local excess of energy over momentum [4]; an explanation for entanglement at a distance, etc.\\[4pt] [1] Bourdillon, A.J., \textit{J. Mod. Phys. }\textbf{3} 290-296 (2012), DOI 10.4236/jmp.2012.33041 (open source).\\[0pt] [2] Bourdillon, A.J.,\textit{ J. Mod. Phys. }\textbf{4} 705-711 (2013), DOI 10.4236/jmp.2013.46097 (open source).\\[0pt] [3] Bourdillon, A.J., A travelling wave group III, conservation of M'PT, submitted to \textit{Phys. Rev. {\&} Res. Int.}(open source).\\[0pt] [4] Bourdillon, A.J., A traveling wave group and consequences, \textit{2013 Annual meeting of the CA-NV section of the APS.}