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Yield Corridor from Germ Transport: Infinitesimal Symmetry Pressure and the Hamiltonian Corridor

Kenneth Searcy

Published Feb 10, 2026• 0 citations

Abstract

This paper continues a constructive “forced-sequence” program that introduces only representational structure required by earlier residues and refinement-stability constraints. Building on (i) a minimal phase-bearing carrier with a quadratic yield map, (ii) closed evolution as yield-invariant internal update with unitary/antiunitary symmetry pressure, and (iii) refinement corridors that force compressed transport and germ connection fields, the paper isolates the next forced step: refinement-stable closedness. If a transport family represents internal (closed) evolution under arbitrary refinement, then yield preservation must persist at the germ level (the “yield corridor”). Using a tier-based (non-limit) notion of first-order content and an explicit accumulation principle for repeated near-identity composition, the paper derives infinitesimal symmetry pressure: admissible germ generators of closed transport must lie in the infinitesimal symmetry class of the quadratic yield structure. Specializing to the minimal complex-carrier realization, this yields a Hamiltonian corridor: germ generators are constrained to the antiunitary-compatible infinitesimal class underlying norm-preserving phase evolution, without assuming Hilbert space axioms, Schrödinger dynamics, derivatives, or a continuum limit as primitives. Finally, the paper imposes a residue-closure constraint: interaction residues (graded bracket / curvature-tier contributions) must remain admissible under the yield corridor at their proper tier.

DOI: 10.5281/zenodo.18596213

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