Asymptotic Sufficiency Depth, Volume V: From a Fixed Borel Benchmark to Regime-Dependent Resurgent Geometry
Shigeo Kaneko · Zenodo (CERN European Organization for Nuclear Research) · 2026
Version 2 correction. Version 2 corrects one phase in the exceptional supercritical m = P − 3Q = 2 Stokes seed. In the fixed continuation basis, the corrected entry is (S0)P−1,P = exp(−iπΛ)A1. The numerical matrix value changes only on the scaled family (p,q) = (5g,g). The correction does not change the first-level activation-support theorem, C/D connection jets, formal monodromy, lift rules, other supercritical parity branches, the subcritical or resonant results, the fixed (3,2) benchmark, or the frozen (11,2) delayed-visibility example. Version 1 remains preserved as provenance. This volume studies effective analytic continuation for the polynomial family Fp,q = X2p + Y2p + Z2p − X2qY2qZ2q. It begins with the explicit (p,q) = (3,2) benchmark and determines which structures persist across the general family. For p 3q, nonzero Morse saddles lead to an irregular Stokes problem with an explicit action spectrum, a criterion for direct Stokes activation, Jordan-resolved Stokes matrices, formal monodromy, and finite-word continuation matrices. The results concern the declared scalar determinant-character/volume-form sectors; no general identification is made between Borel sheets and observation fibers or between Stokes visibility and hidden Kullback-Leibler loss. The manuscript, documentation, and non-code data are licensed under CC BY 4.0. The original source code and validation scripts are licensed under the MIT License; see LICENSES.md in the archives.