Agnostic Recursive Propagation Geometry (ARPG): Hidden Admissibility, Sparse Routing, and Differential Cognitive Geometry

This publication introduces Agnostic Recursive Propagation Geometry (ARPG), a domain-agnostic framework proposing that global structure emerges through recursively constrained local admissible propagation. The framework develops: • recursive admissibility geometry,• recursive invariant reinforcement,• recursive feedback conditioning,• sparse routing interpretations,• differential cognitive geometry,• recursive stabilization dynamics,• hidden admissibility structures,• and experimentally bounded recursive measurement methodology. The paper further interprets recent developments surrounding the Erdős unit-distance conjecture as a mathematically relevant analogy demonstrating how hidden recursive structure may dominate visible geometric intuition. Sparse expert routing systems are discussed as experimentally relevant recursive propagation analogies in which selective admissibility and conditional propagation topology shape future accessibility geometry. The accompanying supplementary provenance package includes: • recursive measurement companion notes,• experimental engineering scaffold documentation,• cryptographic checksum manifests,• provenance inventories,• and reproducibility-oriented lineage materials. This work does NOT claim:• artificial general intelligence,• consciousness,• substrate-independent cognition,• or verified cognitive enhancement. Instead, it establishes:• recursive propagation formalism,• recursive differential geometry,• experimentally bounded recursive measurement methodology,• and governed recursive instrumentation concepts for geometry-aware propagation studies. Author:Ivan SilvaORCID:https://orcid.org/0009-0005-2284-8891 Published through:Carlonoscopen Journal of Coherence Intelligence (CJCI)ISSN 3069-874X