A Spectral Bridge Programme for Deficit-Fractal Governance: Trace Formulae and Zeta Structures
Year: 2026
Type: article
Abstract: This technical note states a conjectural spectral bridge programme for Deficit-Fractal Governance. It explores structural analogies between DFG path-zeta functions, FDCL complex dimensions, log-periodic corrections, trace-formula ideas, and Riemann-type spectral analogies. The document explicitly does not prove a trace formula, a Riemann-zero correspondence, or a completed zeta theory. Instead, it isolates the mathematical conditions that would be required for such a programme, including a canonical self-adjoint FDCL Laplacian, a rigorously defined path zeta function, a trace formula linking primitive FDCL paths to spectral data, and an independent justification for any Riemann-type comparison. The log-periodic frequency ωF=2π/log2\omega_F = 2\pi / \log 2ωF=2π/log2 is treated as a dyadic FDCL substrate diagnostic, not as a substrate-independent prediction of the full DFG framework. This is Paper 6 of the six-part DFG Unified Interaction Field Theory Series. AI use disclosure. Generative AI (OpenAI GPT) was used substantively in preparing this work, including source comparison, drafting and editing, and, where applicable, mathematical and counterexample checks and the writing and running of supplementary code. The research questions, framework and final claims were directed and reviewed by the author, who takes full responsibility for the content, including the accuracy of all references and reported numbers.
Author: Seol, Bin
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7159768890
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