Question concerning pion masses

OK thanks, this is the angular frequency defined by the de Broglie Einstein wave particle duality for m theory: E = m(r) gamma m c squared = h bar omega. It can be expressed as E squared = c squared p squared + m(r) m c squared = (h bar omega) squared. The de Broglie equation for any rest particle is E = m(r) power half m c squared = h bar omega0, where omega0 is the rest angular frequency. These duality equations are valid for any elementary particle, including the pion and photon with mass. Nucleons such as Ni64 are also waves, so the entire subject of elementary particle physics can be developed in terms of waves. The interaction of a proton with a Ni64 nucleon is the interference of two waves, there is an interferogram made up of constructive and destructive interference. The importance of h bar omega is that it means quantization of the strong field, giving a quantum field theory, the energy of the pion field produces quanta called pions. The energy of the massive electromagnetic field produces photons with mass.

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