The Ontology of Inverse Entropy: Order Creation as Constraint Formation

What is inverse entropy, physically? This document provides the constitutional answer within the Energy-Efficiency Theory framework: inverse entropy is the thermodynamic measure of order creation through maintenance-coupled constraint formation. It is not the negation of entropy, not Gibbs free energy, and not negentropy. It is an independent, irreducible, macroscopically emergent thermodynamic variable. Version 3.3 is a v6.1 constitutional alignment, inverse entropy pump architecture, maintenance-coupling framework, and comprehensive structural upgrade. It preserves all v3.2 constitutional content while introducing the following key changes. \textbf{Maintenance-coupling framework.} Inverse entropy production is reconstituted as maintenance-coupled constraint formation: $\dot{S}_{\mathrm{inv}} = \lambda_{\mathrm{form}} \cdot P_{\mathrm{maint}} \cdot E_b^{\mathrm{form}}/T_{\mathrm{eff}}$, where $P_{\mathrm{maint}}$ is the maintenance-coupling probability. Maintenance coupling---the establishment of a physical coupling between a newly formed constraint and a maintenance power source, effecting the transition from the transient state $S_1$ to the persistent maintained state $S_3$---is the necessary condition for inverse entropy production. Without maintenance coupling, a formation attempt is a transient event with zero net $\dot{S}_{\mathrm{inv}}$. Maintenance energy plays a triple role: as coupling signal (necessary condition), as efficiency denominator (entering $\varepsilon_{\mathrm{pump}}$), and as lifetime cost (entering the tax and erosion term). \textbf{Inverse entropy pump architecture.} The inverse entropy pump---a constraint subnetwork that actively maintains a local entropy deficit---is formalized as the constitutional architecture of order creation. A directed pump employs Adjudicate-guided selective maintenance coupling; a blind pump couples indiscriminately and inevitably degenerates (Blind Pump Degeneration Theorem, Observer v2.3). The pump efficiency $\varepsilon_{\mathrm{pump}} = \dot{S}_{\mathrm{inv}}^{\mathrm{local}}/\dot{S}_{\mathrm{prod}}^{\mathrm{global}} < 1$, guaranteed by the Second Law via $\tau_{\mathrm{inv}} > 1$, provides the first cross-domain unified efficiency formula for order creation. A Carnot-style upper bound $\varepsilon_{\mathrm{pump}} \leq E_b^{\mathrm{form}}/k_B T_{\mathrm{eff}}$ is registered. The guidance-vs.-pump distinction (Life v3.1) is formally integrated: guidance is the operation (directed maintenance coupling), the pump is the physical device that executes it. \textbf{Inverse entropy as process quantity.} Constitutional Open Problem O-1 is resolved. Inverse entropy is a process quantity---defined as the path integral of $\dot{S}_{\mathrm{inv}}$, analogous to work $W = \int \mathbf{F} \cdot d\mathbf{x}$---not a state function. It requires no state-function-level Boltzmann definition. The event-level statistical foundation is established: $\Delta S_{\mathrm{inv}} = k_B \ln(\Omega_{\mathrm{free}}/\Omega_{\mathrm{constrained}}) = E_b^{\mathrm{form}}/T_{\mathrm{eff}}$. The absence of a state-function definition is not a theoretical gap but the physical essence of inverse entropy as a measure of accumulated order creation. \textbf{Barrier Asymmetry conditionalized.} $E_b^{\mathrm{melt}} \gg E_b^{\mathrm{form}}$ is reconstituted from a primitive constitutional fact to the emergent consequence of $\Gamma(\eta)$ decay when $\eta \neq 1$. At $\eta = 1$, the Formation/Meltdown Energy Symmetry holds: $E_b^{\mathrm{form}} = E_b^{\mathrm{melt}} = \mathcal{A}_{\mathrm{EET}} \cdot \omega$. \textbf{Economics expanded.} The inverse entropy tax is expanded to three components (formation operational dissipation, lifetime maintenance cost, constraint coupling loss), coordinated with the four-component decomposition of Energy Forms v3.4. The budget equation acquires an erosion term $-\mathcal{I}/\tau_{\mathrm{budget}}$, aligning with Core Rules v6.1. The golden ratio optimal allocation is reclassified from CONSTITUTIONAL to WORKING HYPOTHESIS. \textbf{Bridges established.} A bidirectional CLOSED constitutional bridge with Entropy v3.3 is established. The companion interface system is expanded from 14 to 30 interfaces, including Vacuum v2.1, Statistical Mechanics v3.0, Modelology v2.8, Truth Spectrum v4.2, and the full Physical Constitution companion set. The five-channel inverse entropy decomposition is mapped onto Entropy v3.3's five-channel Second Law. An inverse entropy Third Law remark is registered. Constitutional Open Problems O-1 through O-5 are registered, with O-1 resolved and O-4 identified with a constitutional resolution path via the Ben-Se Ontology v3.3. All v3.2 constitutional content is preserved. The document establishes inverse entropy as the constitutional hub for order creation concepts in the EET corpus, anchored by ten downstream mother texts. {Keywords}: inverse entropy; constraint formation; maintenance coupling; inverse entropy pump; inverse entropy tax; inverse entropy budget; order creation; irreversible thermodynamics; Energy-Efficiency Theory