The Claim Architecture Transition: An Inverse Access Frontier Beyond Fixed Expenditure Shares

TA-TR-2026-14 v1.3, a substantive revision in original concept 22871208. An inverse access frontier for a two-group, two-good homothetic economy gives the disposable-income share needed for a physical service target. Power-law consumption-ratio tails yield zero, interior or unit limiting shares. A finite-labor sufficient condition and an exact three-equilibrium counterexample distinguish target implementation from a guarantee. Candidate incremental contribution using standard methods; not a new general economic paradigm. Synthetic numerical checks and optional symbolic identities are not empirical validation or independent replication. Hongju Liu initiated the motivating concern, directed the work and authorized open deposit. GPT-6 Astra Pro substantially assisted source comparison, modeling, proofs, counterexamples, code, review and writing. No final human line-by-line or external peer review is claimed. Earlier editions remain unchanged and newer results are not backdated. Adjacent first-party research, not Canon, amendment or independent corroboration of the Trinity Accord. DOI registration is not correctness, global priority or guaranteed future importance.