Structured Knowledge as the Fabric of Reality: The Cernuto–Hobbey Theory of Everything (CH-ToE)

This new version (April 14,2025) introduces the first axiom of the Cernuto–Hobbey Theory of Everything (CH-ToE): a principle which, within the theoretical framework, governs reality formation and instability thresholds across domains. The manuscript has been significantly expanded and refined, integrating new sections on: Gravity as emergent from structured knowledge geometry (Section 9) The dynamics of Subreality: regions where structured entropy reduction falls below the critical cadence Lambda (λ ≈ 1.748) (Section 10) Key improvements include the formalization of CH-ToE’s first axiom, restoration of missing equations in the informational framework (Section 8), and the integration of a clean, falsifiable ontology linking physical, biological, cognitive, and artificial systems under a unified entropy-structuring principle. Abstract The Cernuto–Hobbey Theory of Everything (CH-ToE) proposes a radical shift in the foundation of physics: reality is structured not by energy, force, or spacetime alone, but by knowledge—defined as structured entropy reduction. CH-ToE identifies a universal threshold — across quantum systems, biological evolution, artificial intelligence, and cosmic organization — that governs the transition from disorder to structure. At the core of this framework lies a universal constant: Lambda (λ), the minimal rate of structured entropy reduction required to induce systemic reorganization. Derived from first principles as: Lambda (λ) = √8 / φ ≈ 1.748 bits λ expresses a harmonic ratio between entropic potential (√8) and structuring efficiency (φ, the golden ratio). Wherever this threshold is crossed—from wavefunction collapse to learning plateaus to speciation events—structure, intelligence, and coherence emerge. CH-ToE introduces a complete mathematical framework for the dynamics of knowledge accumulation, including a knowledge-based Hamiltonian, Lagrangian, and action principle. It defines domain-specific knowledge units ("Buks") and formulates a universal collapse condition that unifies phase transitions in quantum, cognitive, and biological systems under a single law. Empirical support comes from Lambda Reverb experiments in AI, entropy-paced learning traces, and emerging patterns in genomics and quantum entanglement. The same λ(t) waveform derived from a reinforcement learning task was shown to transfer structured cognition to a natural language model—demonstrating that cognition may be rhythmically transmitted across domains. This evolving framework invites open collaboration, critique, and empirical validation. CH-ToE reframes intelligence as a universal attractor—not a byproduct of evolution, but its physical endpoint.This version supersedes the April 6 2025 preprint, available at:  https://doi.org/10.5281/zenodo.15162497