third renormalization

[AntonioLao]

The removal of mass-energy infinity can be considered as the first renormalization. The removal of electric charge infinity can be considered as the second renormalization. Both are consequences of continuous interaction or self-interaction. Each category of renormalization is associated with a physical mode of quantization. The first quantization was introduced and solved by Planck, Einstein, and Bohr. The second quantization was introduced and solved by Dirac, Feynman, Schwinger, and Tomonaga. Consequently, the failure of a quantum field theory of gravity to detect the graviton necessitated the third renormalization and its physical mode of a third quantization. This quantized entity to be resolved and to be normalized is no other but the infinitely extended spacetime continuum itself. The self-interaction of the spacetime continuum must now be recognized as the quantum vacuum fluctuations of zero-point energies. Although these fluctuations are detected by delicate experiments, there is still a need for a plausible physical theory of why they must exist in addition to the realized clarity that the vacuum is not empty.

Since the quantum vacuum is made-up of virtual particles with a complete physical correspondence to all detectable real elementary particles there is no compelling reason why the real graviton or the virtual graviton cannot be detected. The mathematical resolution is simply to introduce the rationalized quantity for mass such that the product of two masses A and B is always equal to the difference of A and B. The domain and codomain are the set of rational numbers. Moreover, dimensional analysis allows the one-sided introduction of a unit multiplicative factor for the expression (A-B) such that the physical dimensions of the left-hand side and the right-hand side are equivalent: AB=(A-B)U where U=1 in every intended physical dimensions for A and B. For example, if both has physical dimension of kilograms then U is 1 kilogram. Its non-Abelian characteristic is clearly asserted by the fact that A-B is not equal to B-A except for A=0 and B=0.

[theunify]

...The first quantization was introduced...by Planck, Einstein, and Bohr. The second quantization was introduced...by Dirac, Feynman, Schwinger, and Tomonaga. ...

If only quantum mechanics fit so nicely into a picture frame as the small group of similar men who created it.

[AntonioLao]

Personally, I like to describe quantum mechanics as a moving picture frame that confounded anyone to understand its ramification analogous to someone trying to hit a moving branching target.