The title could very well be renamed as ‘directed energy’ a term associated with the propagation of radiant energy, for example, the electromagnetic radiations as the purest forms of LASER beams. It is proven that regardless of differences in frequency and wavelength, all different kinds of electromagnetic waves (radio, IR, visible, UV, X-ray, and gamma) travel at the same speed in spacetime regions empty of matter. However, no spacetime region can ever be emptied of certain forms of physical fields (scalar or vector), e.g., electromagnetic field, gravitational field, quantum fields of real and virtual particles of both fermions and bosons. Fermions are known to exist in certain regions of spacetime if and only if their distributions agree with the Fermi-Dirac statistics (FDS). On the other hand, bosons exist iff their distributions agree with the Bose-Einstein statistics (BES). The degenerative mixing of these statistics provides the classical distributions of neutral atoms described by the Maxwell-Boltzmann statistics.
Consequently, a quantum theory of the spacetime continuum would require a new quantum statistics that can properly describe the local infinitesimal distributions of spacetime charges. Odd distributions agree with FDS while even ones agree with BES. To change odd to even, vice versa, only requires adding or subtracting one H-plus and one H-minus (equivalently, prime numbers of H-pluses and H-minuses) to or from each local quantized distribution. Nonetheless, the oddness and evenness of spacetime charge distributions never affect the topology of energy. The reason behind this unchanging topology is the working physical principle of directional invariance. This exact principle rendered the physical concept of gravity unnecessary, making both Newton’s law of universal gravitational and Einstein’s general theory of relativity approximately descriptive, which would absolutely validate the physical concept of zero rest mass for the sum of squares of directed energy.


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