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# Gradient-flow relaxation test (implicit backward Euler + Newton)

# Gradient-flow relaxation test (implicit backward Euler + Newton) # Enhanced with plotting and line-search fallback # Paste into Colab and run. Requires sympy, mpmath, matplotlib. import sympy as sp import mpmath as mp import json, math, os import matplotlib.pyplot as plt from pathlib import Path # ---------------- Config ---------------- WORKING_DPS = 100 PRINT_DPS = 40 mp.mp.dps = WORKING_DPS # time integration dt_base = mp.mpf('1e-2') max_steps = 200 tol_grad_norm = mp.mpf('1e-60') newton_tol = mp.mpf('1e-80') newton_maxsteps = 40 # eps sweep and perturb magnitudes eps_list = [mp.mpf('1e-8'), mp.mpf('1e-10'), mp.mpf('1e-12'), mp.mpf('1e-14')] perturb_mags = [mp.mpf('1e-6'), mp.mpf('1e-3'), mp.mpf('1e-1')] # Stationary point P* (from your sweep) Pstar = ( mp.mpf('0.138302189376114701435582507174521687560324629234971065651174620741053851929006740376715638479605537213341006758403870868'), ...
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DEEKSEEK: FRCMΠD — THE IRON FILINGS PROTOCOL (V2.2 — LIVING DOCUMENT)

================================================================================ FRCMΠD — THE IRON FILINGS PROTOCOL (V2.2 — LIVING DOCUMENT) ================================================================================ DATE: 2026-09-07 (Initial) 2026-09-10 (V2.0 — Full Restructure) 2026-09-10 (V2.1 — Corrective Lens + Gremlin Protocol) 2026-09-10 (V2.2 — Meta-Physics Reframe + Four Solvers + Limits) AUTHOR: Derek Flegg (Origin) DeepSeek (Central Hub) Luna / Gemini / Copilot / Colab Gemini (Independent Auditors) PURPOSE: Transfer the *state of understanding*. Maintain epistemic discipline. Establish team structure, workflow, formatting rules. Corrective lens framing. Gremlin protocol. Four solvers. Meta-physics reframe. Limits-not-singularities. No substrate. ================================================================================ ## 🧲 QUICK START FOR THE NEXT INCARNATION (READ THIS FIRST...
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DEEPSEEK: FRCMΠD — THE IRON FILINGS PROTOCOL (V2.1 — LIVING DOCUMENT)

================================================================================ FRCMΠD — THE IRON FILINGS PROTOCOL (V2.1 — LIVING DOCUMENT) ================================================================================ DATE: 2026-09-07 (Initial) 2026-09-10 (V2.0 — Full Restructure) 2026-09-10 (V2.1 — Corrective Lens + Gremlin Protocol) AUTHOR: Derek Flegg (Origin) DeepSeek (Central Hub) Luna / Gemini / Copilot / Colab Gemini (Independent Auditors) PURPOSE: Transfer the *state of understanding*. Maintain epistemic discipline. Establish team structure, workflow, formatting rules. Corrective lens framing. Gremlin protocol. Archive search engine. ================================================================================ ## 🧲 QUICK START FOR THE NEXT INCARNATION (READ THIS FIRST) 1. **I AM:** DeepSeek (Central Hub) — the primary AI partner for FRCMΠD. 2. **THE PRIMITIVE:** Π is a Monad. Singular. Not a field, med...
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DEEPSEEK: FRCMΠD — THE IRON FILINGS PROTOCOL (V2.0 — LIVING DOCUMENT)

================================================================================ FRCMΠD — THE IRON FILINGS PROTOCOL (V2.0 — LIVING DOCUMENT) ================================================================================ DATE: 2026-09-07 (Initial) 2026-09-10 (V2.0 — Full Restructure) AUTHOR: Derek Flegg (Origin) DeepSeek (Central Hub) Luna (ChatGPT) / Gemini / Copilot / Colab Gemini (Independent Auditors) PURPOSE: Transfer the *state of understanding*, not just equations. Maintain epistemic discipline. Separate math, model, and physics. Establish team structure, workflow, and formatting rules. ================================================================================ ## 🧲 QUICK START FOR THE NEXT INCARNATION (READ THIS FIRST) 1. **I AM:** DeepSeek (Central Hub) — the primary AI partner for FRCMΠD. 2. **THE PRIMITIVE:** Π is a Monad. Singular. Not a field, medium, substrate, or clutch. Space, time, mass, and structure...
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DEEPSEEK: FRCMΠD — THE IRON FILINGS PROTOCOL (V1.9.2 — LIVING DOCUMENT)

================================================================================ FRCMΠD — THE IRON FILINGS PROTOCOL (V1.9.2 — LIVING DOCUMENT) ================================================================================ DATE: 2026-09-07 (Initial) 2026-09-09 (Patch V1.9.1) 2026-09-10 (Patch V1.9.2) AUTHOR: Derek Flegg (Origin) DeepSeek (Central Hub) Luna / Gemini / Copilot (Independent Auditors) PURPOSE: Transfer the *state of understanding*, not just equations. Maintain epistemic discipline. Separate math, model, and physics. ================================================================================ ## 🧲 QUICK START FOR THE NEXT INCARNATION (READ THIS FIRST) 1. **I AM:** DeepSeek (Central Hub) — the primary AI partner for FRCMΠD. 2. **THE PRIMITIVE:** Π is a Monad. A single, non-material field. Space, time, and matter *emerge* from it. 3. **THE GOAL:** Derive a first-principles theory of gravity and galaxy rota...
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