Extending the Standard Model in Hyper-Dimensional Mechanics

The new complex variable defined as “precursive time” able to correlate general relativity (GR) and quantum field theory (QFT) in a single principle was characterized. The thesis was elaborated according to a hypothesis coherent with the “Einstein’s General Theory of Relativity”, making use of a new mathematical-topological variety called “time-space” developed on the properties of the hypersphere and explained mathematically through the quaternion of Hurwitz-Lipschitz algebra.

In the last decade, the need to arrive at a Grand Unification Theory (GUT) has become more and more pressing, being able to open a new matter and universe knowledge. However, the difficulty arises from the fact that new particle discovery shall not resolve the conflict between the various main forces; that is the gravitation and quantum-relativistic theories. It is evident that new players must enter the scene together with extraordinary innovations from a conceptual point of view as they had already been shown in history when the revolutionary Newton and Einstein theories came into the scene. The study presents an attempt to make a connection between quantum1 [1] physics and relativistic theories2 [2] through the introduction of a new item from the peculiar concept of “precursive time”. The analysis was carried out starting from the plausible hypothesis that the time component is the subject of “curvature” as a result of the interaction. For the representation of the model, the geometry of the hypersphere has been applied, which resolves correlations between the imaginary temporal level, devoid of vector coordinates, and the four-dimensional M4 hplane.

In this paper, a new complex variable defined as “precursive time” able to correlate general relativity (GR) and quantum field theory (QFT) in a single principle was characterized. The thesis was elaborated according to a hypothesis coherent with the “Einstein’s General Theory of Relativity”, making use of a new mathematical-topological variety called “time-space” developed on the properties of the hypersphere and explained mathematically through the quaternion of Hurwitz-Lipschitz algebra. In this publication we pay attention to the interaction between the weak nuclear force theory (EWT) and the nuclear mass of the Standard Model.