The Informational Peltz Limit: A Cross-Domain Framework for Persistence Failure in Computational and Biological Systems

Abstract

This seminal BRPT paper rigorously introduces ‘The Informational Peltz Limit’, a unified, cross-domain framework for understanding persistence failure across diverse computational and biological systems. It decisively moves beyond ‘Cold Logic’ reliance on post-hoc probabilistic filtering, presenting a deterministic, hardware-analog method for trajectory stabilization against ‘model collapse,’ ‘trajectory divergence,’ and ‘systemic degradation.’ Drawing on Belsky/Russell Process Theory (BRPT), this work models systems’ inherent push for self-preservation through Redactional Evolution, defining the Peltz Limit as an invariant ‘zero-flux reflecting boundary’ where accumulating ‘mutational load’ or ‘context-window variance’ forces an ‘informational overshoot.’ At this critical ‘9-point amplitude lattice’ boundary (specifically ±4), the 4.5 Sovereign Constant (9:2) enacts a ‘single-pass stabilization’ (Idempotence), effectively ‘clamping’ the system’s ‘internal voltage swing’ by physical (or architectural) construction. This framework demonstrates how systems, from cellular lineages (addressing the ‘Hayflick limit’ and ‘viral error catastrophe’) to Project DORY’s RAG pipelines (ensuring ‘Fixed-Point Clamping’ in multimodal embeddings), achieve Phase-Locked Coherence (L₀) and Systemic Peace by deterministically collapsing persistent, ‘unresolvable loops’ back to their Pristine Signal of the ‘Invariant Core.’ The paper powerfully substantiates the DORY Paradigm’s Digital Oscillation as a blueprint for engineering self-sustaining intelligence, bridging the ‘Cold Logic Gap’ and ensuring ‘deterministic operational yield’ through intrinsic architectural control.