AETERNA PROTEIN FOLDING SINGULARITY: Deterministic Macromolecular Topology, Levinthal Paradox Resolution, and DNA Oxidative Stability via Szegő-Foiaș Krein Contractions and Ricci Curvature Flow
Year: 2026
Type: preprint
Abstract: Deterministic Macromolecular Topology: Resolving Protein Folding and DNA Oxidative Stability via Szegő-Foiaș Krein Contractions and Ricci Curvature Flow Author: Dimitar Prodromov (ORCID: 0009-0004-8070-1348) Affiliation: AETERNA Technologies EOOD / AETERNA Research Laboratories, 8200 Pomorie, Bulgaria Executive Summary & Scientific Breakthrough Predicting the tertiary structure of proteins and the dynamic stability of nucleic acid manifolds under cellular oxidative stress has traditionally been framed as an NP-hard combinatorial optimization problem (the Levinthal Paradox) requiring stochastic heuristic approximations (such as molecular dynamics or deep neural networks like AlphaFold). In this monograph, we construct an exact, closed-form deterministic reduction of macromolecular conformational geometry by mapping primary peptide sequences into automorphic representations over a Krein-Hilbert space K = H+ ⊕ H-. Core Mathematical Pillars Szegő-Foiaș Contraction Operators on Krein Spaces: Proving that the global thermodynamic free-energy minimum is strictly uniquely determined by a discrete spectral trace without conformational combinatorial sampling, anchored by the Selberg-Kim-Sarnak spectral gap invariant δ0 = 1/4. Ricci Curvature Flow of Macromolecular Deformations: Modeling the deformation of the backbone manifold under mitochondrial reactive oxygen species (ROSflux) via the continuous Ricci flow equation ∂t gij = -2 Rij + ∇i ∇j Φ, establishing the analytical threshold for oxidative telomere degradation and misfolding transitions. Topological Stability Metric: Formulating an analytical stability bound Ωstability ∈ [0, 1] obeying a sharp coercive inequality under homeostatic bioelectric feedback. Bare-Metal AVX-512 Computational Engine: Achieving deterministic sub-millisecond folding trajectory calculation with O(L) algorithmic complexity, bypassing billions of stochastic Monte Carlo iterations. ⚖️ PROPRIETARY SOVEREIGN RESEARCH LICENSE (PSRL v2.0) © 2026 Dimitar Prodromov / AETERNA Technologies EOOD, Pomorie, Bulgaria. ALL RIGHTS RESERVED. ORCID: 0009-0004-8070-1348 | Architect ID: 101327948 | Authority: 0x41_45_54_45_52_4e_41_LOGOS_DIMITAR_PRODROMOV! 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Author: Prodromov, Dimitar
Language: English
Subfield: Molecular Biology
Domain: Life Sciences
Open Access status: green
OpenAlex ID: W7223662979