--- # ... (rest of metadata for Appendix E) ... version: 1.1 # Added clarification on Pattern/Wave/Resonance synonymy revision_notes: | v1.0 (2025-04-13): Initial creation. v1.1 (2025-04-13): Added clarification that 'Pattern', 'Wave', and 'Resonance' are used largely synonymously to describe Manifest Information (Î). Modified Î definition. --- # ... (Previous definitions) ... * **Manifest Information (Î):** * **Definition:** The general category of **actualized, observable phenomena** that emerge *from* the potentiality within the field I through interaction. These are often referred to synonymously as stable **resonant patterns**, **wave patterns**, or simply **resonances**, reflecting their underlying nature as stable, dynamic configurations within the field I exhibiting wave-like properties due to π-φ governance. * **Role:** Represents the "actuality" corresponding to stable resonant states or propagating disturbances within I. Includes entities typically described as particles, energy quanta, fields (in the sense of classical/quantum fields), and localized events. (See Axiom 2). * **Resonant State / Pattern / Wave (Î characterized by n, m):** * **Definition:** A **stable, self-sustaining configuration or dynamic pattern** existing within the continuous field I, governed by the π-φ dynamics. These terms are used largely interchangeably to describe instances of Manifest Information (Î). These are the fundamental forms of manifest existence. * **Role:** Corresponds to observable entities like fundamental particles or stable quantum states. Characterized by integer indices $(n, m)$ and potentially topology (Q). (See Section 3). # ... (Rest of definitions) ...