Gianluigi Filippelli edited Massive coupling.tex  over 10 years ago

Commit id: 2e4995572f2a11723a61844bbbb29aa8590d96fc

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Following this account, we conjecture that the mass is the expression of the proper frequency related to a particular elastic coupling, additional to the one existing between the oscillators of the field $\Xi$.\\  If the frequency $\omega_0$ generates the proper time $\tau$ of the massive particle, for symmetry it must be exist a \emph{wavelength} $\not{\lambda}$ that generates the \emph{proper space} of the particle.\\  Following De Broglie, we have:  \begin{equation}\label{eq-lambda} \begin{equation} \label{eq:lambda}  \left\{\begin{matrix}  p_0 & = & \frac{2\pi\hbar}{\lambda_0}\\   p_0 & = & m c 

\end{equation}  We state that \not{\lambda}_0, the Compton wavelength, defines the \emph{spatial rate} of the proper spacetime lattice of the particle. So, only when the \emph{massive} coupling is built between the \emph{oscillators} of the field $\Xi$, we can speak about proper time and proper space.\\  In this way we can assert that a massive object generates a spacetime lattice equivalent to a frame reference.\\  It is simple to deduce that lattices of particles of relative motion differ for a Lorentz transformation. Now, combining (\ref{eq-mass}) and (\ref{eq-lambda}), (\eqref{eq:lambda}),  we have: \begin{equation}  E^2 = m^2 c^4 + p^ c^2 \; \leftrightarrow \; \omega^2 = \omega_0^2 + k^2 c^2  \end{equation}