Abstract: Science Set Journal of Physics

Abstract:
Metaphysically and physically: This paper presents a general theoretical framework with correspondingly metaphysical models’ definition and one general physical model variating in specific cases in a uniform mathematical structure in dynamical systems view. With this framework, the Constant Family that is composed of the Fine-Structure Constant (FSC), the Coulomb Constant, the Newton Gravitational Constant, the Muon Anomalous Magnetic Moment and the Electroweak Electromagnetic Moment together with Electroweak Constant Coefficient has been computed theoretically in General Solution scheme. Specific values or value scope for different schemes have been determined by the experimental Constants’ values with probability evaluations to indicate capability for predictions for further more precise measurements. The theoretical framework is appeared to be able to unify the electromagnetic field, the electric field and the gravitational field at dynamical energy flowing and transforming system level in coordinated relativistic structural view. By rights of such unifying capability, the theoretical framework is able to explain “Dark Energy” and clarify concepts such as “energy superposition state” and misconceptions such as “Asymptotic Freedom”.

Mathematically: This works originally was to continue the ongoing mathematics works on FSC carried out by Sir. Michael. Atiyah. The mathematical structure developed from this works plays the role of General Solution to Yang-mills and Mass Gap mathematical proposition proof. Sir. Michael. Atiyah’s insights and employing renormalization approach and Todd polynomials techniques has provided demonstration from the uniqueness proof for any defined analogue for (infinite) iteration of exponential set. This paper is on those analogues, jointly shaping existence and uniqueness proof for multiple mathematical aspects. The future work can be further conducted on existence proof in relation to Yang-mills proposition.