The three quantum states of existence are matter, energy, and square of energy. Unfortunately, only quantized energy can be described by existing physical theories like QED and QCD. There is no physical theory that can give a plausible quantum theory of matter regardless of the experimentally verifiable existence of elementary particles, atoms, molecules, planets, stars, and galaxies. This problem is attributed to the physical property of mass. The values of mass could vary continuously between zero and infinity by simply calculating its relativistic changes. The elementary particles with zero mass are the photons, gluons, gravitons, and maybe the electron neutrinos. All other elementary particles have experimentally measureable mass. These values could go as high as 92 GeV (billions of electron volts) for the Z-zero boson of the electroweak theory or as low as ½ MeV (millions of electron volts) for the rest mass of the electron. In theory, the highest mass value of infinity is attributed to the naked singularity of the big bang theory. It is a naked singularity not clothed by an event horizon. Therefore, the ambiguous and paradoxical values of the Schwarzschild radius taking value of infinity but supposedly must have the value of zero is responsible for the breakdown of Einstein’s general theory of relativity.
This theoretical failure desperately requires a new salvaging theory of quantum gravity which is equivalent to a unique quantum theory of mass. On the other hand, a quantum theory of squares of energy exists but it has been disguised as the total relativistic energy: E=cp+mc. Where and when p=0 (the linear momentum is zero) then E=mc or E=mc. This is precisely Einstein’s mass and energy equivalence. Where and when m=0 (rest mass is zero) then E=cp or E=cp or p=E/c. This is precisely the linear momentum of the photon. Therefore, it can be said that a theory of the photon alone does satisfy the existential trichotomy of the universe.


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