Publication history: 2026-11-03

Details

• The four-puncture meridian/root distinction and conditional joint metric rigidity are recorded with their fixed charge-extension, integrality and completion assumptions. The actual native-clock closure and canonical marked sector extension retain their explicit common-source and covariance prerequisites.
• The original structured P1 seed and common S_{\rm adm}/Z_{\rm rel}/\mathrm{OS}/\Gamma_{\rm ren} route are restored as the starting point. A special CAR/native-clock route, an extra post-source vacuum, a new free reference or a universal a\to0 limit is not imposed as an additional global requirement. The full reference, domains, weights and eta transport together.
• The existing variable-background reader, ordered paired source, physical Gauss-sector Hamiltonian source, bounded thermal/ground time words, vacuum reconstruction and common-metric Ward route are reported in their stated operator and limiting classes.
• The whole DET16 source and its matrix-free word evaluator, exact generator comparison, internal Clifford intertwiner and conditional field-time reader are distinguished from a primitive spatial field identification. Sixteen real vector Majoranas and sixteen complex spinor annihilators are not equated by dimension. The original 96-dimensional field block retains its given Yukawa/Majorana couplings; it is not 96 independent couplings.
• The given classical Clifford caller has its complete four-slot field map, same-parameter time, product reflection and exterior transfer kernel. Its positive physical Hamiltonian is distinct from the HS Liouvillian. The whole unprojected free heat trace excludes a literal flat DET16 tensor factor under every unitary oriented kernel identification. Actual sector projections, dynamical bosons and interacting sources remain outside that zero-free premise.
• The larger declared 64-CAR/60-CCR bank has an evaluated nonzero sixteenth-order compensated environment transition and its leading Dyson time coefficient. Its direct mirror block is zero; the primitive coefficient is separately null/not_computed. R111 identifies the remaining source-time residual in the original positive-parent clause and evaluates the marked three-rate C_6 response. Neither computation is a primitive four-dimensional field or joint-spectrum derivation.