The Paper and the Pen Framework: Dynamical Baryogenesis, Leptogenesis, and Matter-Antimatter Asymmetry via Non-Equilibrium CTP Formalism

We present a first-principles resolution of the cosmic matter-antimatter asymmetry puzzle within The Paper and the Pen framework without invoking ad-hoc heavy right-handed Majorana neutrinos. Relying on the Positivity Obstruction theorem, we show that non-negative vacuum density measures trivially collapse under zero-expectation constraints, necessitating the signed Henneaux-Teitelboim variable \rho_\Lambda \in \mathbb{R} to break parity symmetry across discrete internal memory sectors. Utilizing the non-equilibrium Closed-Time-Path (CTP) / Schwinger-Keldysh formalism, we calculate the integrated correlation strength \chi_C = \bar{M}_P^4 / (4v_0) matched to the Bendekkiche Four-Volume Law. The quantum interference of generalized dimension-5 Weinberg operators across the CTP contour yields a net (B-L) asymmetry, converting via electroweak sphalerons to a baryon-to-photon ratio \eta_B \approx 6.14 \times 10^{-10} in precise agreement with Planck 2018 observational baselines.