# [[releases/2025/Infomatics]] # Appendix D: Glossary of Terms **(Operational Framework v3.4 - Final/Defunct)** This glossary defines key terms used within the Infomatics framework development (v0-v3.4). Many terms associated with specific mechanisms explored in v3.0-v3.2 were found to be part of **discarded hypotheses** ([[J Phase 3.2 Research Log & Discarded Paths]], [[M Methodological Failure Analysis]]). Terms related to the final v3.3 Ratio Resonance model are included, noting the ultimate failure and falsification of that model leading to the halt of the Infomatics v3 project. * **Action Scale (φ - Discarded Axiom):** * **Definition (Historical):** In Infomatics v0-v3.1, the Golden Ratio φ was *postulated* as the fundamental unit of action, replacing Planck's constant ħ. The stability condition $E=K\phi\omega$ derived later (v3.3) naturally incorporated φ. * **Status (v3.4):** While φ emerged in the final stability condition, its role as the *sole* action quantum replacing ħ was part of a framework that was ultimately falsified. Its fundamental role remains unproven and this postulate is **discarded**. * **Amplitude, Geometric ($\mathcal{A}$):** * **Definition:** The probability amplitude governing interactions/transitions between stable states (Î). * **Status (v3.4):** Intended to be derived from fundamental dynamics, replacing standard couplings. The specific scaling involving π, φ hypothesized in Infomatics v3 ([[A Amplitude]]) was **discarded**. Derivation was not achieved before framework halt. * **Continuum:** * **Definition:** The principle that the fundamental substrate of reality ($\mathcal{F}$) is continuous, not inherently discrete. * **Status (v3.4):** Retained as a core principle throughout Infomatics development, though the framework built upon it failed. * **Contrast, Potential (κ):** * **Definition:** The latent or inherent **capacity for distinction or difference** existing *within* the fundamental informational medium $\mathcal{F}$. * **Status (v3.4):** Retained conceptually as the potentiality underlying manifestation. Represented by the field variable (e.g., $\mathbf{K}$). * **(n, m) Indices (Discarded):** * **Definition (Historical):** Integer indices hypothesized in Infomatics v0-v3.2 to characterize stable resonant states based on cyclical (n, π-related) and scaling (m, φ-related) complexity. * **Status (v3.4):** Framework failed to derive stability rules based on these indices; this specific indexing scheme was **discarded**. * **(m', k') Indices (v3.3 - Discarded Framework):** * **Definition (Historical):** Emergent integer indices labeling stable states Î_i derived from the Ratio Resonance condition $\phi^{m'} \approx \pi^{k'}$, corresponding to convergents of $\ln(\pi)/\ln(\phi)$. m' labeled scaling complexity, k' labeled cyclical complexity. * **Status (v3.4):** Part of the Ratio Resonance model which was ultimately falsified. **Discarded** along with the v3.3 framework. * **Emergence:** * **Definition:** The principle that complex structures and phenomena arise dynamically from simpler, underlying rules or a fundamental substrate. * **Status (v3.4):** Central principle retained throughout, though the specific emergent mechanisms explored failed. * **Field, Informational ($\mathcal{F}$):** * **Definition:** The fundamental, **continuous medium** representing potentiality. Replaced 'Universal Information Field (I)'. Assumed representable by GA multivector $\mathbf{K}(x,t)$ in final stages. * **Role:** Its intrinsic properties and dynamics determine emergent structures and interactions. * **Golden Ratio (φ):** * **Definition:** Fundamental mathematical constant (≈1.618). * **Status (v3.4):** Its role as a *governing principle via specific exponentiation* (as in $M \propto \phi^m$) was **discarded**. Its appearance in the Ratio Resonance condition ($\phi^{m'} \approx \pi^{k'}$) and the stability filter ($E=K\phi\omega$) was central to the final v3.3 model, but that model failed. Its fundamental role remains unproven. * **Interaction:** * **Definition:** A dynamic process involving patterns (Î) within $\mathcal{F}$, leading to transitions or manifestation. * **Status (v3.4):** Governed by emergent amplitude $\mathcal{A}$ (calculation not achieved). Interactions (EM, Strong, Weak analogues) needed derivation within a successful framework. * **Intrinsic Dynamics:** * **Definition:** The principle that the behavior of $\mathcal{F}$ is governed solely by rules and parameters inherent to the medium itself (e.g., $c_0, \mu, \lambda, \phi$). * **Status (v3.4):** Core principle. Final attempts focused on a non-linear GA wave equation. * **L_m Primality Hypothesis (Discarded):** * **Definition (Historical):** Hypothesis that stability of states indexed by *m* correlated with L_m primality. * **Status (v3.4):** Failed theoretical derivation; **discarded**. * **Manifest Information (Î):** * **Definition:** Observable, resolved patterns or structures that emerge dynamically and stably from potential contrast κ within $\mathcal{F}$ via interaction/resolution ε. In v3.3, identified with stable resonant states Î_i. * **Role:** Represents the actualized, persistent "entities" of the theory. * **Oscillon:** * **Definition (Physics Term):** Long-lived (metastable), periodic, localized solution in non-linear scalar field theories. * **Status (v3.4):** Emerged as candidate for Î₁ in minimal scalar IO model, but model was insufficient. GA Q-ball analogue considered for v3.3 Î₁. * **Pi (π):** * **Definition:** Fundamental mathematical constant related to cycles. * **Status (v3.4):** Role likely remains significant in describing cyclical aspects (frequency ω, phase, geometry), appeared in Ratio Resonance condition. Its *governing role via specific exponentiation* was **discarded**. * **Ratio Resonance Stability (v3.3 Hypothesis - Falsified):** * **Definition (Historical):** Stability principle for v3.3. Required optimal balance $\phi^{m'} \approx \pi^{k'}$. Selected states Î_i labeled by convergent pairs (m', k'). * **Status (v3.4):** Led to prediction of unobserved light charged scalar Î₁; **falsified and discarded**. * **Resolution (ε):** * **Definition:** Characteristic ability of an interaction process to distinguish patterns within $\mathcal{F}$. Manifestation depends on ε. * **Status (v3.4):** Retained as crucial concept. Specific mathematical form needs derivation from a successful interaction model. v3 formula $\varepsilon \approx \pi^{-n}\phi^m$ **discarded**. * **Resonance:** * **Definition:** General principle that stable states Î correspond to persistent, self-reinforcing dynamic patterns within $\mathcal{F}$. * **Status (v3.4):** Retained conceptually. Specific resonance conditions explored (Direct π-φ, Resolution, Ratio) were **discarded** as primary stability principles. Stability must arise directly from dynamics. * **Stability:** * **Definition:** Property allowing an emergent pattern Î to persist. * **Status (v3.4):** Must arise dynamically from governing equations. The v3.3 condition $E=K\phi\omega$ was the final candidate filter, derived from action/phase principles, but the overall framework failed. Previous criteria (L_m, GA/E8 filter) **discarded**. * **Structure First (Methodology):** * **Definition:** Principle: Derive stable emergent structures first from dynamics, calculate properties, then compare to observation. Avoid *a priori* numerical targets. * **Status (v3.4):** Adopted methodology during late Phase 3.2 / v3.3, ultimately leading to framework falsification. Remains a sound principle for future work.