A Travelling Wave Group and Consequences

From the TWG for a free particle, $\psi =A(X^{2}/2\sigma^{2}+X)$ where $X=i(kx-\omega t)$; $\sigma $ is an experimental variable; and $A $is a normalizing constant, the following can be derived: the Uncertainty principle [1]; Planck's law; the de Broglie hypothesis; phase velocity; pseudo mass M' [2]; conservation of M'PT [3]; mass as a local excess of energy over momentum. \\[4pt] [1] Bourdillon, A.J., \textit{J. Mod. Phys. }\textbf{3} 290-296 (2012), DOI 10.4236/jmp.2012.33041. \\[0pt] [2] Bourdillon, A.J.,\textit{ J. Mod. Phys. }\textbf{4} 705-711 (2013), DOI 10.4236/jmp.2013.46097. \\[0pt] [3] Bourdillon, A.J., A travelling wave group III, conservation of M'PT, submitted in 2013 to \textit{Phys. Rev. {\&} Res. Int.}