Without a quantum theory of direction, any new all-inclusive physical theory (such as a theory of everything) will eventually be forced to suggest the existence of multiverses for the complete description of physical reality. This realization happened to many popular scientists, in particular, to Dr. Brian Greene, the author of both books: “The Elegant Universe” and “The Fabric of the Cosmos.” He published this inevitability in his new book: “The Hidden Reality.” This book discusses the possible hidden reality of parallel universes. But as a conscientious scientist, Dr. Greene admitted (to say the least) in his own words that “the subject of parallel universes is highly speculative.” And that “No experiment or observation has established that any version of the idea is realized in nature.” This being said, why then did Dr. Greene wrote the book? One reasonable guess is the fact hidden in the consciousness of almost all scientific investigators: the will to understand the possible numerical values of many physical quantities to take the values of zero and infinity. Without a physical principle of directional invariance, the absolute zero of temperature must be reachable, the big-bang singularity must exist in the distant past, and the end of the universe must come to past in the distant future at the moment that time arrived at infinity. In reality, absolute zero can never be attained and the heat death of the universe implies the temperature of absolute zero at maximum entropy.
Nonetheless, for a physical reality conforming to two Möbius directional topologies, it is possible for physical vector quantities to complete one cycle around each topology without taking the value of zero or infinity. If this is a temporal cycle then one complete loop allows the time to flow in the opposite direction. If this is a spatial cycle then one complete loop allows the hyperbolic surface of space-time to form into a one-dimensional Hopf link. Furthermore, with a principle of directional invariance, the property of infinitely many directions to choose from is now reduced to just simply eight directional invariance properties of the space-time continuum. These directional invariance properties exactly described the two distinct Möbius topologies, which by the algebra of Hadamard matrices formalized the quantum theory of the space-time continuum as a quantum theory of direction for the mathematical description of the quantum vacuum fluctuations of the square of zero-point energies. The idea of extracting vacuum energies from these distinct topologies is properly renamed cold fusion. It can give a theoretical support for justifying the experimental debacles of the works toward cold fusion in 1989 by Pons and Fleischmann, et al.


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