Manuscript XIX-C@1 · XIX-C.tex · section · 98b067d9
Main separation theorem and exact release
Main separation theorem and exact release · lines 1365–1429
boundary. The objects constructed or analyzed in this paper are finite interfaces, complete finite channels, separation witnesses, and illustrative channel limits unrelated to the native incidence geometry. No continuum realization of the VIII incidence package is constructed. No regulator removal, invariant physical speed, matter-driven cone evolution, Einstein dynamics, field-theoretic instrument, or gravitational quantum coefficient is released.
| Question | Ending here | Exact scope |
|---|---|---|
| Finite register and guarded update | Defined | Installed packets, finite histories, tokens, and rejection outputs |
| Matching uniqueness | Proved | Full-column-rank criterion in a fixed presentation |
| Native three-to-six certificate | Documentary | Not independently reconstructed from unsupplied geometric data |
| Record–residual separation | Proved | Explicit equal-record witness |
| Token versus acquisition | Proved | Finite decoder and fixed finite-copy exact-acquisition refusals |
| Frozen packet during incidence | Proved | Declared command grammar; replacement remains separate |
| Scheduled support ceiling | Proved | Complete finite channels with all actual predecessors included |
| Physical causal containment | Conditional | Requires a certified location and causal relation |
| Continuum non-determination | Proved | Two explicit refinements of one finite channel have different limits |
| Native incidence continuum limit | Not constructed | Refinement, common realization, and convergence still absent here |
| Invariant speed and dynamical cone | Not derived | Calibration, frame action, and source dynamics are additional |
| Quantum admission and compilation | Not performed | No gravitational quantum coefficient or executed implementation |
This is a relationship convention: VIII, VII-J, and En05-A are not made theorem premises of one another by this manuscript. It does not mean that a mathematical function is identically zero.
Displayed formulas in this passage
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