Exact Whittaker Reduction and the Anti-Stokes Obstruction for the SCT Transport Ratio
Research Note 15 in the "Geometry of the Critical Line" programme. Paper 43 showed that the leading high-energy endpoint equation for the SCT connection matrix reduces to a complex-order Bessel equation. This note establishes a stronger result: the corrected endpoint equation, retaining the subleading O(ε⁻¹) potential term, transforms exactly to a Whittaker equation under the substitution z = 2ix, with purely imaginary Coulomb parameter κ = im²/(4k√λ) and complex order μ = ν(m). The Bessel model of Paper 43 is recovered as the κ → 0 limit. However, the standard Whittaker connection formulas do not directly apply on the physical ray arg z = π/2, which lies on an anti-Stokes line. The missing ingredient is the sectorial Stokes connection map for the Whittaker equation on the imaginary axis. No arithmetic interpretation is claimed. Part of a 46-paper open-access programme. The programme does not claim to prove the Riemann Hypothesis.
Authors
- Pavel Kramarenko-Byrd
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-05-12
- DOI
- https://doi.org/10.5281/zenodo.19316361
- Primary Topic
- Fluid dynamics and aerodynamics studies
- Type
- preprint