# FCE Appendix A: Seed Prompt v1 ## 1. Background: Project Reset to Fundamental Constants & EQR This document initiates the **Fundamental Constants & EQR (FCE) project, version 1**. This project represents a focused reset following the conclusion of the preceding Information Ontology (IO), EQR Formalism Development (EFD), Computational Emergence & EQR (CEE), and Logical Foundation Investigation (LFI) explorations. Those projects, while yielding the EQR v1.0 framework (`EQR v1.0 Framework Report.md`), failed to validate specific substrate models or formal derivations according to their OMFs. This reset returns to a potentially promising thread from the earlier IO project (specifically Sprints 29-33, see [[FCE-E-Background-v1]] for details) concerning the constants $\pi$ and $\phi$ (golden ratio) and their possible connection to fundamental physical constants like the fine-structure constant $\alpha$. The previous attempt failed because it relied on numerological correlation (e.g., $\alpha \approx C/\phi^{10}$) without deriving the relationship or exponent from an underlying physical mechanism. ## 2. FCE Project Hypothesis and Goal **Core Hypothesis:** Fundamental constants (like $\alpha$) and potentially particle properties (like mass ratios) are not arbitrary values but are determined or constrained by fundamental principles involving **geometry** (related to $\pi$), **optimal scaling, recursion, or stability** (potentially related to $\phi$), operating within the context of the **EQR v1.0 framework** which describes the process of physical manifestation. **Primary Goal:** To investigate potential **physical or informational mechanisms** that link $\pi$, $\phi$, and the EQR process to the observed values of fundamental constants. The focus is explicitly on finding a **derivation or mechanistic explanation**, not merely numerical coincidences. Potential avenues include: a. Geometric factors influencing EQR interaction efficiency/coupling strength. * Stability principles incorporating $\phi$ in emergent structures or resonances. * Information-theoretic constraints involving $\pi$ and $\phi$ within EQR manifestation events. ## 3. Operational Framework Development within FCE v1 will be governed by the **FCE OMF v1** (defined in [[FCE-B-OMF-v1]]), adapted to focus on deriving constants/ratios from principles and EQR, with calibration targeting these specific values (OMF Rule 4). ## 4. Initial Task (Sprint FCE-1) The first sprint (FCE-1) will focus on: * **Goal:** Brainstorm potential *mechanisms* (geometric, dynamical, informational) within the EQR v1.0 framework where $\pi$ and/or $\phi$ could plausibly arise and influence observable constants like $\alpha$. * **Methodology:** Theoretical brainstorming and conceptual analysis, explicitly avoiding numerology. Focus on *processes* described by EQR (interaction, basis selection, update) and how their efficiency or structure might involve $\pi$ or $\phi$. Review relevant concepts (e.g., geometric phases, optimal distribution, fractal structures, resonance). * **Outcome:** A documented list of plausible candidate mechanisms linking EQR, $\pi/\phi$, and constants, providing potential avenues for more detailed investigation in subsequent sprints. ## 5. Core Documentation This project relies on the following core documents: * [[FCE-A-Seed-v1]] (This document) * [[FCE-B-OMF-v1]] * [[FCE-C-ProcessLog-v1]] * [[FCE-D-ParkingLot-v1]] (Includes carried-over IO/EQR entries) * [[FCE-E-Background-v1]] (Includes IO/EQR/CEE/LFI conclusion context & IO $\pi/\phi$ failure analysis) * *(Background Reference)* `EQR v1.0 Framework Report.md`