UED Reconstruction Programme — Paper 20: The Thermodynamics of Persistence

Paper 20 is the Phase-II capstone of the UED Reconstruction Programme and develops a thermodynamic closure for persistent manifestation. It corrects the interpretation that persistence requires repeated internal resolution cycles or obligatory “breathing.” Resolution is treated as historically irreversible: a later event may restore the same coarse geometry, but it does not undo the consequences of previous events. Persistence is instead reconstructed as a non-equilibrium steady geometry maintained through ongoing regeneration and decay. A coarse manifestation measure obeys a turnover balance in which regeneration and decay can remain simultaneously nonzero even when the manifested form is statistically stationary. In a minimal nonlinear closure, a stable positive persistent branch exists when regeneration capacity exceeds decay demand. The lower and upper Chavan Limits emerge as the two points where these rates become equal. They are therefore interpreted as viability boundaries of the regeneration–decay balance rather than externally inserted constants. Alignment Threshold Time (ATT) enters the closure through regeneration kinetics. When regeneration is renewal-limited, the mean first-passage duration controls the effective regeneration rate, yielding a direct mathematical relation between ATT and Chavan-boundary location. Event ATT remains distinct from collective restoration time and from persistence lifetime. The thermodynamic layer inherits the configurational entropy framework of Paper 8. A stationary probability distribution need not satisfy detailed balance: nonzero probability currents can coexist with constant configurational entropy. A persistent non-equilibrium state may therefore maintain stationary geometry while continuously producing and exporting entropy. The paper further distinguishes continuous Chavan-limit transitions from metastable finite-release transitions. In the continuous rate-balance class, the manifested branch and turnover vanish smoothly at the boundary and no finite latent release is predicted there. In a metastable class, finite stored configuration energy can remain until abrupt loss of stability, allowing finite release. Effective inertial mass is interpreted as a response of the maintained geometry rather than a measure of immutable internal content. Constant observed mass is therefore compatible with continuing internal turnover, although mass invariance remains a testable covariance condition rather than an automatic consequence. Paper 20 preserves the dynamic-window mathematics of Paper 19 but reinterprets its relaxation variables as restoration of the regeneration–decay geometry. It also preserves the Paper-18 conclusion that the universal Planck action remains an unresolved action-selection problem. Phase II therefore ends with a falsifiable statement: persistence is neither permanence nor recurrence; it is stable manifested geometry sustained through irreversible regeneration and decay inside a bounded SVE viability window, with positive entropy production when the sustaining turnover is genuinely non-equilibrium.