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Artin Presentation Theory, (AP Theory), is a new, direct infusion, via purebraid theory, of discrete group theory, (i.e., symmetry in its purest form),into the theory of {\it smooth} 4-manifolds, (i.e.,$(3+1)$-Quantum Gravity inits purest topological form), thus exhibiting the most basic, rigorous,universal, model-free intrinsic {\it gauge-gravity} duality in anon-infinitesimal, cone-like graded, as holographic as possible,model-independent, non-perturbative, background-independent, parameter-freemanner. {\it In AP Theory even smooth topology change becomes gauge-theoretic,setting the stage for a rigorous smooth topological $(3+1)$-QFT of Dynamic DarkEnergy.} In this theory, the rigid $\infty$ of the dimension of classicalHilbert space is substituted by the dynamic $\infty$ of the $\infty$ generationat each stage of a cone-like graded subgroup of topology-changingtransitions/interactions. As a corollary, the Cosmological Constant problem andthe YM Millenium Mass Gap problem, two of the most perplexing main problems ofmodern physics, become rigorously, intimately mathematically related, by havingthe same qualitative {\it dynamical} roots. Ultimately our main point ismeta-mathematical, as far as modern physics is concerned: due to the discretegroup-theoretic conceptual simplicity of the theory, with its group-theoretic'Planckian membrane/discreteness' starting point, {\it the fact that it is notjust a mere mathematical model,} and all its properties above, any other {\itmathematically rigorous} approach has to built on AP Theory and betopologically absorbed and enveloped by it.

AP Theory III: Cone-like Graded SUSY, Dynamic Dark Energy and the YM Millenium Problem