The Offline Neural Plasticity Homeostasis (ONPH) Hypothesis: Theoretical Framework and In Silico Validation (N=30,000)

Abstract This paper presents the theoretical framework and computational verification for the Offline Neural Plasticity Homeostasis (ONPH) Hypothesis. The ONPH framework proposes a novel neurobiological mechanism wherein sleep functions as an active, bidirectional adjudication system rather than a passive rest state. Core Hypotheses: Bidirectional Adjudication: Sleep cycles consolidate wake-confirmed memories (LTP) while actively pruning unconfirmed neural noise via homeostatic downscaling (LTD). Instinct Preservation: Phylogenetic memories (instincts) are protected against disuse atrophy through endogenous activation during REM sleep. Methodology & Results: We validated these mechanisms using stochastic differential equations (SDEs) and large-scale Monte Carlo simulations (N=30,000). The simulation results reveal a critical "Golden Bifurcation" phase transition at Day 2. Statistical analysis (One-way ANOVA, p < 0.001) confirms that wake-phase confirmation acts as a necessary selection filter, allowing valid memories to breach the replay threshold while suppressing noise. The full raw dataset and source code are included in this package for replication.