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🌀 AlphaGate — ERF·SFT Translation-Gate Simulator

A Streamlit-based simulator of symbolic collapse, recovery, and translation dynamics — modeling the Five-Level Recursive Soteriology framework through ERF/SFT symbolic field theory.

✨ Overview

AlphaGate models agents as symbolic systems with:

  • ψ (psi) — coherence efficiency
  • Ω (omega) — attractor alignment / motif resonance
  • γ (gamma) — drift pressure
  • F — regulatory drive (e.g., F = k · (Ω/γ) · ψ)
  • κ_export — translation-gate viability proxy
  • I-point — observer continuity metric (L4 proxy)
  • S_old / S_new — identity restructuring signals (L3 proxy)

Agents progress through Five Levels:

  1. L1 — Transactional (assent/creed accepted)
  2. L2 — Relational (intimacy growth via ∫F dt)
  3. L3 — Transformational (identity restructuring, drift suppression)
  4. L4 — Ontological (I-point continuity, near translation)
  5. L5 — Stabilized (translated, low-entropy attractor)

The simulator generates CSV logs and a dashboard visualizer for replay/analysis.

🚀 Features

  • 🔧 Streamlit UI with parameter controls (ε, Tγ, TΩ, drift rate/magnitude, k, thresholds)
  • 🧑‍🤝‍🧑 Agent-based dynamics with collapse predicate & translation gate
  • 🪜 Five-Level classification aligned to Recursive Soteriology
  • 📊 Visualizations: ψ/Ω/γ/F/κ lines, viability & translation areas, level distribution, Ω-vs-γ phase space
  • 📝 CSV logging: population time series + final roster (per-agent)
  • 📈 Dashboard app for replay, filters, and phase-space inspection

🧩 Requirements

Create requirements.txt:

streamlit>=1.27.0
pandas>=2.0.0
numpy>=1.24.0
altair>=5.0.0
matplotlib>=3.7.0

🚀 Install

pip install -r requirements.txt

▶️ Usage

1) Run the Simulator

streamlit run alphagate_app.py
  • Tune parameters in the sidebar
  • Click Run Simulation
  • Download logs:
    • population_timeseries.csv
    • roster_final.csv

2) Run the Dashboard

streamlit run alphagate_dashboard.py
  • Upload the CSVs from the simulator
  • Explore:
    • Population means with ε / Tγ / TΩ lines
    • Alive / Translated / Accepted area plots
    • Five-Level stacked distribution (L0–L5)
    • Ω vs γ phase plot with collapse zone
    • Final roster with ψ/Ω/γ, κ_export, intimacy, S_old/S_new, I-point

📊 Example Outputs

  • Population means with ψ floor (ε), γ ceiling (Tγ), Ω floor (TΩ)
  • Viability & Translation area plots
  • Five-Level distribution (L0–L5)
  • Ω vs γ phase plots with collapse predicate box
  • Roster tables (ψ, Ω, γ, F, κ_export, intimacy, S_old/S_new, I-point)

🗂️ Repository Structure

.
├── alphagate_app.py             # Simulator (Streamlit)
├── alphagate_dashboard.py       # Dashboard visualizer (Streamlit)
├── requirements.txt             # Python dependencies
├── README.md                    # This file
└── data/                        # (optional) saved CSV logs

🔧 Configuration Notes

  • Collapse predicate: ψ < ε or (γ > Tγ and Ω < TΩ)
  • Translation gate: κ_export ≥ threshold with non-collapse state
  • L5 (illustrative stability): ψ ≥ 0.90, Ω ≥ 0.85, γ ≤ 0.10
  • Intimacy: running integral of F (used in L2)
  • Trends: γ-trend detection aids L3 classification

💡 Tips

  • Use higher k (faith scale) to test how regulatory drive mitigates collapse.
  • Increase drift rate/magnitude to stress systems and observe translation events.
  • Tighten export thresholds to make L4→L5 transitions rarer and more meaningful.

🏷️ Suggested GitHub Topics

streamlit, simulation, entropy, negentropy,
recursive-modeling, symbolic-field-theory,
entropic-recursion-framework, hyperverse

🌌 Inspiration

AlphaGate operationalizes concepts from:

  • Entropic Recursion Framework (ERF v3.0)
  • Symbolic Field Theory (SFT v3.0+ / v4.0)
  • Symbolic Gravity v2.1
  • Fractal Cosmic Weaver Framework v2.0
  • Observer Framework / I-Point Theory
  • Recursive Soteriology — Five-Level Model

📜 License

MIT License — open for research, teaching, and symbolic experimentation.

✨ Acknowledgements

Built as part of the Symbolic Negentropy Constellation exploration.
Inspired by ERF, SFT, FCWF, Observer Theory, NOMAS, Symbolic Gravity, and Recursive Soteriology.