Geometric Encoding and Decoding in Coherence Geometry: A Unified Framework for Transmission, Storage, Inference, Learning, and Control

Abstract

This paper develops Geometric Encoding and Decoding (GED) as a general operational paradigm within the Coherence-Geometric Informational Substrate (CGIS). GED provides a common language for preparing, maintaining, transmitting, and recovering information-bearing coherence-compatible states. Within this organization, three principal informational roles are identified: Coherence-Driven Information Storage (CDIS), associated with persistence and maintenance; Coherence-Driven Information Transmission (CDIT), associated with propagation or transfer; and Coherence-Driven Inference and Recovery (CDIR), associated with recovery of perturbed, incomplete, or displaced informational configurations. The paper connects these informational roles to the broader triadic organization of coherence-governed systems, in which stabilization, activation, and transport provide corresponding structural modes across physical and informational descriptions. Within GED, decoding is treated generally as coherence-directed recovery. Where distinct stable attractors exist, this may take the specific form of basin recovery; in continuously parameterized regimes, recovery may instead restore coherence constraints while preserving continuous informational degrees of freedom. Learning is treated as modification of the coherence landscape in which these operations occur, while control may bias or steer the associated dynamics. Symbolic, discrete, and statistical representations may arise through projection, discretization, or other forms of abstraction, but are not required for the underlying geometric operations. The paper is a conceptual and operational synthesis rather than a new foundational substrate or specific implementation. It links the CGIS informational substrate, the triadic organization of coherence-governed systems, and concrete coherence-geometric transmission and recovery mechanisms within a common operational framework for storage, transmission, inference, recovery, learning, and control. Internal reference: CGI-RSR-000038.