ψ-Logic Before Matter: Retentive Ontology as the Pre-Condition of Spacetime and Friedmann Dynamics

This paper introduces ψ-logic as a pre-physical retentive framework that operates prior to spacetime, particle ontology, and field dynamics. The theory formalizes three primitive variables — difference (Δψ), retentive operator (Ξ), and pseudo-time (τ) — and develops a minimal ψ-Lagrangian governing pre-geometric persistence. From this foundation, the work derives a coarse-grained projection into emergent spacetime geometry and reconstructs the Friedmann–Robertson–Walker metric from retentive variables. Friedmann-type dynamics arise as a macroscopic limit of ψ-evolution, yielding an effective Hubble parameter, a retentive reinterpretation of gravitational coupling, and a spectrum-based origin of the cosmological term Λ. The neutrino sector is treated as a residual carrier of ψ-dynamics: a retentive invariant δν is introduced to model neutrino asymmetry as a post-geometric manifestation of pre-metric retention. Unlike speculative metaphysics, ψ-logic is formulated with explicit equations of motion, testable conditions, and a simulation protocol connecting ψ-dynamics to observational classes (CMB topology, large-scale structure bias, and neutrino spectra). The framework does not compete with ΛCDM or quantum field theory but situates them as late-stage consequences of a foundational retentive layer. The central claim of the work is structural rather than metaphysical: The universe does not originate from a fluctuation, explosion, or bounce — it originates from the impossibility of difference vanishing. ψ-logic proposes retention as the true ontological pre-condition of physics.