Trajectory Entropy & Irreversibility Workbench

Domain Archetypes

Langevin Landscape Controls

Potential Barrier Height (ΔV) 2.50

Thermal Noise (σ = √(2D)) 0.45

Basin Curvature / Stiffness (k) 1.20

Selective Entropy Injection 0.35

Potential: V(x) = k(x² - 1)² - F_ext·x

Ensemble Size: 150 trajectories

Basin Occupancy: L: 75 | R: 75

UCFT Trajectory Principle: Persistence is not passive equilibrium; it is dynamic recovery faster than failure accumulation (T_recovery < T_failure). Rising path-space irreversibility ln(P_fwd / P_rev) signals broken microscopic reversibility and warns of imminent basin collapse before macro displacement is visible.

Live Diagnostics

Path Irreversibility ln(Pf/Pb) 0.18 Dissipation metric

Bifurcation Retention 0.88 Fork exploration

Recovery Time T_rec 340 ms Relaxation horizon

Failure Threshold T_fail 980 ms Basin escape boundary

Export & Provenance

Source Foundation: Based on Entropy Is Quietly Reshaping AI, Hardware, and the Science of Coherent Systems (r/CoherencePhysics).