The recent view about SUSY in TGD UniverseThe progress in understanding of M^{8}H duality throws also light to the problem whether SUSY is realized in TGD and what SUSY breaking does mean. It is now rather clear that sparticles are predicted and SUSY remains exact but that padic thermodynamics causes thermal massivation: unlike Higgs mechanism, this massivation mechanism is universal and has nothing to do with dynamics. This is due to the fact that zero energy states are superpositions of states with different masses. The selection of padic prime characterizing the sparticle causes the mass splitting between members of supermultiplets although the mass formula is same for all of them. The question how to realize superfield formalism at the level of H=M^{4}× CP_{2} led to a dramatic progress in the identification of elementary particles and SUSY dynamics. The most surprising outcome was the possibility to interpret leptons and corresponding neutrinos as local 3quark composites with quantum numbers of antiproton and antineutron. Leptons belong to the same supermultiplet as quarks and are antiparticles of neutron and proton as far quantum numbers are consided. One implication is the understanding of matterantimatter asymmetry. Also bosons can be interpreted as local composites of quark and antiquark. Hadrons and hadronic gluons would still correspond to the analog of monopole phase in QFTs. Homology charge would appear as spacetime correlate for color at spacetime level and explain color confinement. Also color octet variants of weak bosons, Higgs, and Higgs like particle and the predicted new pseudoscalar are predicted. They could explain the successes of conserved vector current hypothesis (CVC) and partially conserved axial current hypothesis (PCAC). One ends up with the precise understanding of quantum criticality and understand the relation between its descriptions at M^{8} level and Hlevel. Polynomials describing a hierarchy of dark matters describe also a hierarchy of criticalities and one can identify inclusion hierarchies as subhierarchies formed by functional composition of polynomials. The Wick contractions of quarkantiquark monomials appearing in the expansion of supercoordinate of H could define the analog of radiative corrections in discrete approach. M^{8}H duality and number theoretic vision require that the number of nonvanishing Wick contractions is finite. The number of contractions is indeed bounded by the finite number of points in cognitive representation and increases with the degree of the octonionic polynomial and gives rise to a discrete coupling constant evolution parameterized by the extensions of rationals. Quark oscillator operators in cognitive representation correspond to quark field q. Only terms with quark number 1 appear in q and leptons emerge in Kähler action as local 3quark composites. Internal consistency requires that q must be the superspinor field satisfying super Dirac equation. This leads to a selfreferential condition q_{s}=q identifying q and its supercounterpart q_{s}. The condition has interpretation in terms of a fixed point of iteration and expression of quantum criticality. The coefficients of various terms in q analogous to coupling constants can be fixed from this condition so that one obtains discrete number theoretical coupling constant evolution. The basic equations are quantum criticality condition q=q_{s}, D_{α,s}Γ^{α}_{s}=0 coming from Kähler action, and the superDirac equation D_{s}q=0. One also ends up to the first completely concrete proposal for how to construct Smatrix directly from the solutions of superDirac equations and superfield equations for spacetime supersurfaces. The idea inspired by WKB approximation is that the exponent of the super variant of Kähler function including also supervariant of Dirac action defines Smatrix elements as its matrix elements between the positive and negative energy parts of the zero energy states formed from the corresponding vacua at the two boundaries of CD annihilated by annihilation operators and resp. creation operators. The states would be created by the monomials appearing in the supercoordinates and superspinor. SuperDirac action vanishes onmassshell. The proposed construction relying on ZEO allows however to get scattering amplitudes between all possible states using the exponential of superKähler action. SuperDirac equation makes possible to express the derivatives of the quark oscillator operators (values of quark field at points of cognitive representation) so that one can use only the points of cognitive representation without introducing lattice discretization. Discrete coupling constant evolution follows from the fact that the contractions of oscillator operators occur at the boundary of CD and their number is limited by the finite number of points of cognitive representation. See the chapter Recent View about SUSY in TGD Universe.
