
DRAFT version. This preprint is part of an active research programme and remains subject to revision, correction, and journal review. A game-theoretic framework for prebiotic chemistry, interpreting autocatalytic networks, hypercycles, and chirality selection as Nash-equilibrium-like structures of thermodynamic games. Building on Dynamic Kinetic Stability (DKS) and the England inequality, we propose that the Maximum Entropy Production Principle (MEPP) serves as a stability filter—demarcating the viable manifold of replicating systems—rather than as a causal driver. Empirical motivation comes from Azoarcus ribozyme experiments, where RNA replication dynamics conform to classical payoff matrices (cooperation, dominance, Prisoner's Dilemma). Homochirality is modeled as spontaneous symmetry breaking in a degenerate Nash equilibrium. The framework explicitly treats MEPP as contested far from equilibrium and separates known chemical kinetics from the proposed game-theoretic reinterpretation. Series position FST-II is the chemistry / autocatalytic stability companion (Level 1b) of the FST application series. The programmatic umbrella is the FST Hub (Concept-DOI 10.5281/zenodo.20130499). Sibling application companions: FST-I Thermodynamic Stability, FST-III Biological Stability, and FST-IV Cosmology. Code & sources GitHub: research-line/functional-stability-theory / applications/fst-ii-chemical. Version 1.5 (June 2026) Measurement-gate ledger: the English and German papers now include a prediction/measurement ledger before P1--P6, separating each target prediction from independent observables and the current validation gate. Citation and bibliography maintenance: the English and German bibliography order was synchronized, 21 confirmed DOI-capable references were supplemented, and the Swenson 1989 reference was corrected to the complete Crossref title. DOI verification: 39/39 unique DOI handles resolve through the DOI registry; English and German citation, bibliography-item and DOI sets are identical. Files rebuilt locally: English, German and combined bilingual PDFs were rebuilt on 2026-06-04 after the post-v1.4 data/structure, citation and source-check maintenance passes. Changelog Version 1.4 (May 2026) Proof/paper synchronization: the England-bound discussion now uses the Jensen consequence directly and avoids the earlier misleading exponential-average shorthand. Stability guardrail: the stability boundary is described through spectral abscissa on the relevant tangent/stoichiometric subspace; spectral radius remains only a stiffness or oscillation proxy. Replicator boundary cases: boundary rest points and Nash equilibria are separated more carefully; absent species with neutral or positive invasion channels prevent asymptotic-stability claims. Script and result hygiene: `autocatalysis_3species.py`, `replicator_entropy_test.py`, `ii_calc_01_results.json`, and public replicator result JSONs now carry the same guardrail language as the paper. Citation maintenance: active EN/DE bibliographies were rechecked; DOI fields for England, Crooks, MEPP, Metabolic Nash, Kauffman and Schuster et al. were corrected or completed. Files rebuilt and synced: English, German and combined bilingual PDFs were rebuilt and the public GitHub package was synchronized to the same post-v1.3 guardrail file set. Version 1.3 (May 2026) Strict-review guardrails: Three-species stability example now distinguishes the neutral mass-conservation mode from tangent-space asymptotic stability. Claim calibration: The spectral radius is framed as a local stiffness/oscillation proxy, not as distance to a stability boundary. P3 calibration: The replicator table is framed as a catalytic-throughput toy proxy, not as independent entropy-production evidence. DE/EN synchronization: German DESS, Boerlijst/Hogeweg, homochirality, and MEPP wording aligned to the more cautious English claim level. Version 1.2 (May 2026) Source correction: FST-I self-citation corrected from unrelated Zenodo record DOI 10.5281/zenodo.14920522 to the FST-I concept DOI 10.5281/zenodo.20130544. Source correction: RH/RFEP self-citations corrected from unrelated Zenodo record DOI 10.5281/zenodo.15076553 to the RH and RFEP concept DOIs 10.5281/zenodo.19035640 and 10.5281/zenodo.19036190. Bibliography cleanup: Harper arXiv note no longer claims an unverified Journal of Theoretical Biology version; ChemSystemsChem article data and several DOI fields were aligned with Crossref, PubMed, and Zenodo checks. Claim calibration: England's inequality is framed as a constraint/consequence rather than a causal driver; MEPP is treated as a heuristic stability filter, not as a proven selection law. Minor-revision response: The paper now distinguishes established kinetics from the FST-II game-theoretic synthesis and includes a concrete experiment distinguishing FST-II from standard kinetic dominance predictions. Files: This release contains English, German, and combined bilingual PDFs. Version 1.1 (May 2026) Hub-link corrected: "FST-IV Overview" references replaced by "FST Hub" (programmatic umbrella). The Hub paper holds Concept-DOI 10.5281/zenodo.20130499 and is no-numeral; FST-IV is now the cosmological collector slot. GitHub source link added. Related Identifier: FST-DE reference relabelled to "FST-IV Cosmology / FST-DE". Version 1.0 (May 2026) Initial release as part of the FST series. Status: ~8.5/10 readiness; remaining open items per referee minor-revision verdict: MEPP-controversy framing, England-causal weakening, distinction known-kinetics vs. new game-theory insights, additional experimental tests.
DRAFT version. This preprint is part of an active research programme and remains subject to revision, correction, and journal review.
game theory, dynamic kinetic stability, functional stability theory, hypercycle, autocatalysis, chirality, FST, entropy production, Nash equilibrium, origin of life, replicator dynamics
game theory, dynamic kinetic stability, functional stability theory, hypercycle, autocatalysis, chirality, FST, entropy production, Nash equilibrium, origin of life, replicator dynamics
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