Manuscript VIII-C@3 · VIII-C-v3.tex · section · 3b070436

Problem, contribution, and logical scope

Problem, contribution, and logical scope · lines 140–176

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Landmark VIII-A defines a finite affine matching interface for a declared spinless conical geometry CheungVIIIA. Landmark VIII-B constructs a variable-deficit realization family and a finite promised source table CheungVIIIB. The present paper supplies a scheduling layer: fixed-packet movement, guarded incidence, regular source replacement, and finite reversible composition.

The polygon literature studies evolving descriptions of -dimensional gravity Hooft1992,Hooft1993,Kadar2005. The construction here is narrower. We prescribe realizations and derive their length laws; we do not identify those laws with a polygon Hamiltonian or import a general transition catalogue. The spinless conical interpretation is a declared geometric dictionary, motivated by the locally flat -dimensional setting DJH1984, not a consequence of the scheduling theorem.

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  1. Explicit fixed-packet realizations yield correlated affine length laws, including nonzero outgoing crease rates and a coplanar length-changing collar refinement.

  2. A guarded grammar composes regular source replacement and fixed-packet incidence while returning complete matching outputs.

  3. One sourced five-command word has exact packet data, a permission trace, canonical report checks, and finite reversible resource bounds.

  4. Local proofs state the observation, support, and decoding boundaries needed to interpret this composition correctly.

The contribution is a certified composition framework, not a new particle geometry, source law, measurement primitive, or gravitational dynamics.