Theory Appendices

Download the formal mathematical and structural appendices documenting the technical derivations of the Ordered Patch Theory.

Theoretical Foundations

T-1: Rate-Distortion Lower Bound

T-2: Entropic Gravity

T-3: Tensor-Network Homomorphism

T-4: MDL Parsimony Advantage

T-5: Empirical Constraints

T-10: Inter-Observer Coupling

T-11: The Structural Corollary

T-12: Substrate Fidelity and Slow Corruption

T-13: Branch Selection and the Action Ontology

Physical Derivations

P-1: Informational Normality

P-2: From Local Noise to Born Rule

P-3: Decoherence and the Forward Fan

P-4: The Phenomenal Residual

Empirical & Computational

E-1: Experiential Quantum

E-6: Synthetic Observers & Swarm Binding

E-8: The Active Inference Bottleneck

E-11: Computational Simulation of the Rate-Distortion Lifecycle