# [[releases/2025/Infomatics]] # Appendix E: Glossary of Terms **(Operational Framework v3.1)** This glossary defines key terms used within the Infomatics framework to ensure clarity and consistent interpretation. - **Universal Information (I):** - **Definition:** The fundamental substrate of reality, conceived as a **continuous FIELD of pure potentiality**. It is ontologically primary (or co-primary) and not reducible to conventional matter or energy. - **Role:** Acts as the underlying “possibility space” or abstract “medium” containing the latent potential (κ) for all distinctions and supporting all dynamics, governed by the principles π and φ. (See Axiom 1). - **Potential Contrast (κ):** - **Definition:** The latent or inherent **capacity for distinction or difference** existing *within* the Universal Information field I. - **Role:** Represents the “raw material” of potentiality that can be actualized into observable differences. It is the potentiality associated with specific resonant patterns $(n, m)$. (See Axiom 2). - **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). - **Specific Manifestation ($\hat{\mathbf{i}}$):** - **Definition:** A **particular instance** or observation of Manifest Information (Î). - **Role:** Represents a specific outcome of an interaction/measurement process, corresponding to the actualization of a specific resonant pattern $(n, m)$or state transition. - **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). - **Resonance Indices (n, m):** - **Definition:** Non-negative integer indices characterizing stable resonant states (Î). - **Role:** - **n (Cyclical/Phase Index):** Quantifies the order of cyclical, phase, or rotational complexity, governed by **π**. Relates to spin and internal symmetries. - **m (Scaling/Stability Index):** Quantifies the hierarchical level of scaling, structural complexity, or stability, governed by **φ**. Relates primarily to mass scale ($M \propto \phi^m$) and stability. (See Section 3). - **Topological Properties (Charge Q, etc.):** - **Definition:** Conserved features associated with the **topology** (e.g., knots, twists, winding numbers) of a stable resonant $(n, m)$pattern within the field I. - **Role:** Determine quantized charges (electric, color, etc.) associated with particles. (See Section 3). - **Interaction:** - **Definition:** A process involving the coupling or exchange of influence between different resonant states (Î) or between a state and its environment, mediated by the dynamics of the potential contrast field (κ). - **Role:** Causes transitions between $(n, m)$states, leading to changes and the emergence of forces. - **Resolution (ε):** - **Definition:** An **emergent characteristic** of a specific physical **interaction process**, quantifying its limits in distinguishing between different potential states or resolving features of a manifest pattern (Î). - **Role:** Acts as the interface between potentiality (κ within I) and actuality (manifestation of specific $\hat{\mathbf{i}}$). Its effective structure is described by $\varepsilon \approx \pi^{-n_{int}}\phi^{m_{int}}$, where $(n_{int}, m_{int})$characterize the interaction’s capabilities based on phase (π) and stability/scaling (φ) limits, justified via physical analogies like holography. (See Section 3). - **Geometric Amplitude (A_geom):** - **Definition:** A **calculable, state-dependent complex number** representing the **probability amplitude** for a specific allowed transition between resonant states $(n, m)$via a specific interaction. - **Role:** Derived from the fundamental π-φ dynamics (via the action principle applied to $\mathcal{L}_{inf}$), it replaces standard model vertex factors and coupling constants (like α). Its magnitude squared, integrated over phase space, gives the transition probability. Hypothesized structure involves integer powers of π and φ (e.g., $|A_{geom, EM}| \propto \phi^2/\pi^3$). (See Section 6, Appendix A). - **Pi (π):** - **Definition:** The fundamental, dimensionless, abstract geometric principle governing **cyclicity, phase, rotation, and periodicity**. (See Section 2.3). - **Role:** Structures the cyclical dynamics within I, determines properties related to spin and angular momentum (via index $n$), influences phase space factors, and relates to the fundamental sequence step ($t_P \sim 1/\pi$). Appears with specific exponents (e.g., π³) related to emergent dimensionality. - **Phi (φ):** - **Definition:** The fundamental, dimensionless, abstract geometric principle (golden ratio) governing **scaling, proportion, recursion, and stability**. (See Section 2.3). - **Role:** Structures hierarchical levels of stability and complexity within I (via index $m$), determines mass scales ($M \propto \phi^m$), governs the fundamental action scale ($\hbar \rightarrow \phi$), and relates to the fundamental length scale ($\ell_P \sim 1/\phi$). Appears with specific exponents (e.g., φ⁶, φ³) related to stability thresholds for gravity and EM interaction strength. - **Action Scale (φ):** - **Definition:** The fundamental unit of action in Infomatics, replacing Planck’s constant $\hbar$. Action = $\phi$. (See Section 4). - **Information Speed (c):** - **Definition:** The fundamental speed limit for propagation of manifest information (Î) or causal influence within the field I, derived from the geometric principles. $c = \pi/\phi$. (See Section 4). - **Sequence (τ):** *(Deferred Operationalization)* - **Conceptual Role:** Parameter ordering sequences of manifest events ($\hat{\mathbf{i}}$) or state transitions, representing emergent time. Fundamental step relates to $t_P \sim 1/\pi$. - **Repetition (ρ):** *(Deferred Operationalization)* - **Conceptual Role:** Describes the persistence or frequency of a specific state $\hat{\mathbf{i}}$over sequence steps τ. - **Mimicry (m):** *(Deferred Operationalization)* - **Conceptual Role:** Describes correlations or resonant coupling between different informational patterns Î. ---