Authors: Robert H Ihde
All quantum algebras are algebras over a field or K-algebras with a binary operation, which are defined as constant invariants over the Poincaré group. The Christoffel symbols in the classical geodesic equation can also be understood as a representation of a K algebra. In contrary to the constant algebras of quantum theory, the K-algebra of the Christoffel symbols is a function of space-time. A mathematical, conformal union of geometry and algebra requires a corresponding dependence on space-time for quantum algebras. Assuming the existence of an algebraic field, based on a changing binary operation and coupled back to the domain, a quantum mechanical vacuum equation for gravity can be established. The vacuum equation follows structurally a generalized, pseudo-linear Dirac-Maxwell system with additional algebraic constraints. A physical existence of the algebraic field, as a counterpart to the geometric field of gravity, can in principle be falsified by the experiment. The proportion of the spin in the magnetic moment of a particle would then depend on its acceleration, since the algebraic field should influence the spin algebra accordingly.
Comments: 22 Pages. a pure math & therefore fringe theory for Digital or IT Physics
[v1] 2018-08-31 15:39:49
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