**Authors:** Nolan L. Aljaddou

This work is an analytic establishment of the proper underlying theoretical foundation of the science of physics, in terms of its most fundamental precept - measurement - in order to formulate the proper solution to some of its ultimate problems as well as to explain some of its greatest mysteries. It is grouped into two primary sections, the first covering the purely mathematical foundation, with the latter the application of the mathematical tools derived in order to construct the proper physical foundation. These two groups are further divided into subsections exemplifying a dual logic premise/implication structure of establishing necessary first principles alone, followed by the ultimate extent of the logical consequences of those principles. In the mathematical section this takes the form of first addressing the mathematical principle common to all physical measurement and then demonstrating the extent of its logical application in deriving the various branches of mathematics necessary for physics. In the following physical section, the nature of fundamental measures such as space and time and their exact interrelationship is established, followed by an examination of their consequential manifest properties in producing the existence of matter and its counterpart anti-matter, as well as the nature of their mutual interaction. The origin of fundamental particle variety is then established, following its effects through to the cosmological phenomena of black holes and the big bang, and the organization of subatomic structure. The exposition concludes in deducing the fundamental universal principle which governs all physical phenomena in their varied forms. Broadly speaking, the categories of foundation established are listed in order as follows: Foundations of Mathematics, Fundamental Branches of Mathematics, Quantum Physics, General Relativity, Classical Physics, Elementary Particle Physics, Cosmology, and Unification Physics - covering the spectrum of general mathematical physics classification. Fundamental problems solved include: the identity of the most fundamental axiom of mathematics, the proper axiomatic establishment of the calculus, the proper derivation and establishment of the correct framework of quantum physics - and clarification of quantum misunderstanding - the explanation for matter's curvature of space-time, the reason for classical inertia and the form of the electromagnetic equations, the explanation for the divisions of fundamental particles and the fundamental forces, the mathematical proof of the existence of Yang-Mills theory of chromodynamics and its relation to producing the big bang and the internal effects of black holes, the identity of the unification principle of physics, and several others. Its reductionist nature establishes that it is the ultimate, unique foundation of all physical principles and by its nature the only means of solving and understanding the essential problems addressed therein.

**Comments:** 12 Pages.

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