
AbstractWe present the denitive, self-contained formulation of the Time-Triptych Dynamic ActiveVacuum (TT-DAV) framework, incorporating all published results, their rigorous empiricalevaluation, technical responses to external critical analysis, and the following structuraladvances over previous versions:(i) Holonomic emergence of spin (rigorously proved): spin is not an intrinsic degree offreedom but a global geometric invariant of closed triptych cycles in discrete Hilbert bundles.Quark spin and colour connement are co-emergent via the SU(2) sub-representation of theA5 holonomy.(ii) Vacuum torsion (formally dened): the structural obstruction to integrability of gra-dients in the dynamic active vacuum, governing the TT-DAV coupling and providing areinterpretation of black holes as regions of structural temporal saturation rather than mass-accumulating singularities.(iii) Revised quark mass formulas (parameter-free): derived from the joint action ofboth admissible scaolds on the dodecahedral base, reducing maximum errors from 128% to≤ 4.8% across all six avours. The charm quark is reproduced at −0.12%.(iv) Photoelectric eect under structural optics: photon reinterpreted as a vacuumentropy packet; emission threshold as a Helmholtz free energy transition; structural timedelay as a falsiable prediction in the attosecond regime.(v) Complete empirical scorecard: all predictions evaluated against PDG 2024, Nu-FIT 5.3, QCD lattice data, and attosecond measurements, with a structured inventory of 13open problems.The parameter-free leptonic conrmations mμ/me = N φ3 = 207.309 (ε = +0.261%) andmτ /me = 3485.73 (ε = +0.245%) are unchanged. The framework distinguishes explicitlybetween results that are rigorously derived (leptonic sector, holonomic spin, vacuum torsion,well-posedness theorems) and those that constitute a well-motivated geometric proposal re-quiring further derivation (quark sector, neutrino mixing corrections). No speculative as-sumption is introduced; all claims are supported by derivation or explicitly agged as openproblems.Keywords: TT-DAV, non-self-adjoint operators, polyhedral scaolds, holonomic spin, vacuumtorsion, lepton masses, quark masses, neutrino oscillation, Koide relation, Regge decit, conne-ment, photoelectric eect, structural vacuum, empirical evaluation, open problems
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