A Pedagogical Study of the Grand Unification Theorem with Realization of Some Standard Equations

TL;DR

This paper pedagogically analyzes Oyibo's Grand Unification Theorem, highlighting its mathematical approach and demonstrating its ability to recover standard equations like Fermat's principle, supporting its potential as a unification theory.

Contribution

It provides a pedagogical study of the theorem's mathematical foundation and shows how it can derive standard physical equations, validating its potential for unification.

Findings

Recovered Fermat's principle from the theorem

Validated the theorem's modeling approach

Supported the theorem's potential for unification

Abstract

The God Almighty Grand Unification Theory proposed by Oyibo to unify all known forces in nature and other possibly unknown force fields has remained controversial not just because of its ambitious claims but also because of its unconventional mathematical approach. He has adopted the mathematical approach from his experience at solving the Navier Stokes equations in fluid mechanics using invariance of an arbitrary function under a group of conformal transformations. However, this esoteric approach resulted in a sound mathematical formulation for the modelling philosophy of his theorem which is that since the fundamental characteristic of the universe is motion and motion can only be provided by force, then the universe could be viewed as a large force field. He then represented the conservation of this large force field at a given space time point in the universe by a set of generic equations from which he obtained his generic solutions whose specific applications depend on the initial/boundary conditions and other physical constraint conditions. An important achievement of the theorem methodology is that modelling with it is reduced to algebraic operations rather than differential equations for the most parts in previous methodologies. With this understanding from pedagogically studying the modelling philosophy and mathematics of the theorem, we have been able to recover from it simple standard equations such as in the Fermat principle for geometric optics. This is encouraging and therefore supports the possibility to recover more results and also to provide new ones, thereby supporting the theorem as a potential candidate for a grand unification theory.