Holography = Holomorphy Vision in Relation to Quantum Criticality, Hierarchy of Planck Constants, & M8-H Duality

Abstract

Holography = holomorphy vision generalizes the realization of quantum criticality in terms of conformal invariance. Holography = holomorphy vision provides a general explicit solution to the field equations determining space-time surfaces as minimal surfaces X⁴ ⊂ H = M⁴ x CP₂. For the first option the space-time surfaces are roots of two generalized analytic functions P₁, P₂ defined in H. For the second option single analytic generalized analytic function defines X⁴ as its root and as the base space of 6-D twistor twistor-surface X⁶ in the twistor bundle T(H) = T(M⁴) x TCP₂) identified as a zero section. By holography, the space-time surfaces correspond to not completely deterministic orbits of particles as 3-surfaces and are thus analogous to Bohr orbits. This implies zero energy ontology (ZEO) and to the view of quantum TGD as wave mechanics in the space of these Bohr orbits located inside a causal diamond (CD), which form a causal hierarchy.