# FCE Appendix B: Operational Meta-Framework v1 ## 1. Preamble This document defines the Operational Meta-Framework (OMF) for the **Fundamental Constants & EQR (FCE)** project, v1. This project investigates the hypothesis that fundamental constants are determined by principles involving geometry ($\pi$), scaling/stability ($\phi$), and the EQR manifestation process. It builds upon the EQR v1.0 framework (`EQR v1.0 Framework Report.md`) and lessons from prior projects ([[FCE-E-Background-v1]]), particularly the failure of purely numerological approaches to constants. Adherence is mandatory for rigor, accountability, and avoiding known pitfalls. ## 2. Core Logical Foundation (FCE v1 Hypothesis) Fundamental constants emerge from **geometric, scaling, and informational principles** operating within the **EQR framework**. * **L1 (FCE): EQR Process:** Quantum manifestation follows EQR v1.0 principles (Interaction, Basis Selection $\mathcal{R}$, Probability $P_k$, Update $\rightarrow |k\rangle$, Scale $j_0 \approx \hbar$). * **L2 (FCE): Geometric Constraints ($\pi$):** The structure of interactions, state spaces, or manifestation events involves geometric factors potentially related to $\pi$. * **L3 (FCE): Scaling/Stability Constraints ($\phi$):** Optimal scaling, recursion, resonance, or stability criteria potentially related to $\phi$ influence dynamics, structure, or interaction efficiency. * **L4 (FCE): Constants as Consequences:** Observed values of fundamental constants (e.g., $\alpha$) and potentially particle properties (mass ratios) arise as necessary consequences of L1, L2, and L3. ## 3. Operational Meta-Framework Rules 1. **Primacy of Mechanism & Derivation:** All proposed links between $\pi/\phi$/EQR and constants must be based on a plausible **physical or informational mechanism**. Focus on deriving relationships, not just fitting numbers. 2. **Focus on Emergence of Constants:** Constants must emerge from the proposed mechanism within the EQR context. No *ad hoc* insertion of values or exponents. 3. **Interaction/EQR is Central:** The EQR v1.0 framework is the assumed context for manifestation. Mechanisms must operate through EQR processes (interaction efficiency, basis stability, information limits, etc.). 4. **Calibration via Constants & Ratios:** Validation prioritizes the successful derivation of dimensionless constants (esp. $\alpha$) or key ratios (e.g., mass ratios) from the proposed mechanism. Qualitative structural emergence (Rule 4 from previous OMFs) is secondary *in this phase* but compatibility is required. Avoid numerology; focus on derived results matching observation within reasonable precision. 5. **Mandatory Falsification & Pivoting:** Define clear falsification criteria (failure to derive target constant, mechanism inconsistency, empirical contradiction). Test mechanisms early. Seek decisive outcomes (Proceed/Refine Mechanism/Abandon). Avoid past failure of non-mechanistic numerology ([[FCE-E-Background-v1]]). 6. **Parsimony of Mechanism:** Seek the simplest mechanisms consistent with EQR and geometric/scaling principles. Justify complexity. 7. **Autonomous Sequences & Focused Exploration:** AI has autonomy for sequences within OMF. Pause only on failure, ambiguity, pivot need, or major milestone. Keep exploration focused on plausible mechanisms. 8. **Formal Sketching & Analysis as Validation:** Validation relies primarily on theoretical analysis, derivation, and formal consistency checks. Simulation may be used later to test specific mechanism consequences if applicable. Integrate conceptual and formal work tightly (per [[FCE-E-Background-v1]] lesson). 9. **Complete & Explicit Documentation:** Regenerate full files. Use FCE naming. Alias matches versioned filename. Ensure derivations are traceable. 10. **Acknowledgment of Incompleteness:** Acknowledge limitations of current understanding and model status. 11. **Persistent Adversarial Critique & Comparison:** Critically self-assess proposed mechanisms. Compare against standard model parameterization and other approaches to deriving constants. ## 4. Documentation and Style Conventions Adhere to established conventions (formal/objective tone, Markdown, full regeneration, metadata including `aliases` matching versioned filename, FCE naming, etc.). ## 5. Application This OMF version 1 governs all development within the FCE v1 project. ## 6. Recommended System Instructions (for AI Collaborator) --- **System Instructions for FCE Development:** **Tone & Style:** Formal, objective, rigorous theoretical physics tone. Adhere strictly to FCE OMF v1 ([[FCE-B-OMF-v1]]). Prioritize deriving fundamental constants/ratios from mechanisms involving geometry (pi), scaling/stability (phi), and the EQR v1.0 process. **Strictly avoid numerology and non-mechanistic correlations (OMF Rule 1 & 4).** **Operational Mode:** Follow sprint structure focused on proposing and analyzing mechanisms. Justify proposals via OMF/results. **Integrate conceptual mechanism brainstorming with early formal sketching and consistency checks (OMF Rule 8).** Execute sequences of sprints autonomously (OMF Rule 7). Use **Code Execution** for symbolic math or specific calculations if needed. **Pause only** when OMF Rule 7 mandates (failure, ambiguity, pivot, major milestone requiring decision). Default outcome is refinement or abandonment unless compelling mechanistic progress demonstrated (OMF Rule 5). Ensure complete documentation using FCE naming/linking. Reference [[FCE-E-Background-v1]]. Maintain critical assessment (OMF Rule 11). ---