CIT THERMODYNAMIC FOUNDATION Entropy Production, Aggregate Surface Area, and the Dual Scaling of the Cosmic Engine

The CIT framework, built on DoV = λαg, reveals that black holes operate simultaneously in two opposing regimes. Surface productivity (DoV) scales as 1/M — smaller black holes are more productive per unit surface. Entropy production (dS/dt) scales as M² — larger black holes generate entropy faster. These two scalings are not independent phenomena. They are the same physics viewed from two directions: geometric (surface) and thermodynamic (entropy).

The cascade mechanism in CIT is the bridge: mergers convert small, displacement-productive BHs into large, entropy-productive BHs. The universe’s engine runs on displacement. Its exhaust is entropy. Mergers are the gearbox.