  We describe a sub-theory of Artin Presentation Theory (AP Theory), which has
many genuine,discrete,group-theoretic,non-infinitesimal, qualitative analogues
(including with the mass gap) of the main desiderata of the hypothetical
quantitative infinitesimal '4D Quantum YM Theory' for the so-called Clay
Millenium 'YM Existence and Mass Gap' problem. Our entirely mathematically
rigorous theory is not a model, no new axioms or measures are introduced,does
not rely on SUSY,is free of smooth 4D singularities,moduli spaces,path
integrals, graph/lattice combinatorics and probabilistic,category,twistor or
topos arguments and is intimately related to the theory of pure framed braids.
Despite being based on a rigorous, radical,universal Holographic Principle,the
theory still contains an analogue of Donaldson/Seiberg-Witten Theory, an
infinitely generated, at each stage, graded group of topology-changing
transitions and interactions and more. Our main contention is: the
radical,universal AP-holography, with its strong topology changing
interactions, which reach all the way to the 'vacuum' of discrete group theory,
may destroy any infinitesimal, PDE based Field Theory,required for solving the
actual Clay YM problem in its present quantitative form as a problem of
so-called 'constructive' 3+1 QFT. More generally,due to the fact that AP Theory
is not a model,e.g., does not introduce any new axioms,any rigorous axiomatic
3+1 QFT has to align itself with it in a mathematically rigorous fashion.
