The Dissipative Order Extension of the Second Law of Thermodynamics

Version Update: Working Paper — Condensed Publication Manuscript, July 2026 This update provides the condensed publication manuscript of The Dissipative Order Extension of the Second Law of Thermodynamics. The new version substantially consolidates and strengthens the framework developed in the earlier working paper. It presents the proposal as a falsifiable, exergy-aware, time-window-dependent phenomenological selection index for local order formation in open dissipative systems. The second law of thermodynamics remains the non-negotiable entropic admissibility condition. The manuscript does not propose a replacement law or a new thermodynamic state equation. Instead, it introduces a formally restricted local-order analysis layer that distinguishes entropy production, exergy degradation, usable gradients, structuring coupling capacity, environmental absorption capacity, microscopic state-transition compatibility, and disruptive pressure. The central index is now explicitly evaluated over predefined observation windows and characteristic system times. Its multiplicative structure is defined as a minimal conjunctive phenomenological model rather than as an ab initio thermodynamic derivation. The framework is intended to test whether the identified order-supporting conditions provide explanatory or predictive value beyond simpler raw-energy, entropy-only, and reduced exergy-gradient models. The manuscript has been substantially condensed to remove repetitive defensive passages and to present the central hypothesis in a direct, publication-oriented form. The methodological structure now includes stricter safeguards against overfitting, post hoc parameter adjustment, unresolved sink relations, and undefined system boundaries. An exergy-destruction anchor has been added as an independent application constraint. It is not treated as an additional pillar or predictor, but as a requirement for physically bounded quantitative interpretation. Where system boundaries, characteristic time scales, environmental sink conditions, or exergy-destruction rates cannot be independently specified or bounded, the framework is restricted to diagnostic use. Environmental absorption capacity is treated as a distinct physical boundary condition describing whether dissipative consequences can be absorbed, distributed, buffered, or exported without destabilizing the local order-supporting conditions. Microscopic state-transition compatibility is treated as an empirical admissibility constraint requiring the proposed macroscopic order process to remain compatible with accessible states, transition pathways, material constraints, and relevant time scales. Cosmological and statistical residuals are included only as residual boundary conditions. They are not introduced as a new thermodynamic category, a source of order, or a teleological principle. The new version also includes point-specific academic citations, consolidated references, revised terminology, a methodological glossary, and clarified falsification criteria. A fully developed Rayleigh–Bénard convection proof of concept demonstrates how the phenomenological framework can be mapped onto an established physical instability problem. The application compares the proposed order index with the Rayleigh-number threshold and shows how the framework can operate as a complementary diagnostic and comparative layer without replacing the domain-specific governing equations. The condensed publication manuscript should be treated as the current version for academic evaluation, citation, and submission.