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This mathematical derivation can only prove existence according to theory, it cannot supply the explicit formula for p(0,1). The formula for p(0,1) is p= h/λ=h⋎/c, as deduced from the Compton effect.
“ A collaboration of Chinese and Japanese astrophysicists has reported the highest energy photons ever seen: gamma rays with energies up to 450 trillion electron volts (TeV). “
8 JUL 2019 - BY DENNIS NORMILE (Science*org).
“BEIJING, May 17, 2021 (Xinhua) -- Chinese scientists have detected a dozen ultra-high-energy (UHE) cosmic accelerators within the Milky Way, a find that could overturn humanity's understanding of the galaxy. It could help reveal the origin of cosmic rays, which have puzzled scientists for a century……..
Scientists have also detected photons with energies exceeding 1 Peta-electron volt (quadrillion electron-volts or PeV), 100 times more than the record high achieved by any manmade accelerator on Earth. One photon with an energy of 1.4 PeV was detected, the highest value ever observed by humans.”
TeV = 10¹² eV
PeV = 10¹⁵ eV
1 Joule = 6.242 x 10¹⁸ eV
1 completely converted gram of matter (Wikipedia-Nuclear Fusion) produces 9 x 10¹³ J = 5.62 x 10³² eV.