Binary Anchor Model (BAM) V2.0

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This repository contains the official Python simulation code for the paper:
"The Binary Anchor: Cognition, Symbolic Loops, and Systems Failure" by Norimitsu Sawada.

• Zenodo Preprint (Paper V2.0.0): DOI: 10.5281/zenodo.21759689
• Software Archive (Code DOI): DOI: 10.5281/zenodo.22120816
• Concept DOI (All Versions): DOI: 10.5281/zenodo.21566423
• License: CC BY 4.0

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🚀 How to Run

Clone the repository and install minimal dependencies:

# 1. Clone repository
git clone https://github.com/nobudy-bot/binary-anchor-model.git
cd binary-anchor-model

# 2. Install minimal dependencies
pip install -r requirements.txt

Simulation Options:

• Option A: Micro-Cognitive Engine (V2.0 Core / Recommended)
  Runs the high-resolution simulation of the Master Equation $A_t = \mathrm{WTA}(V_t)$. Focuses on individual brain dynamics (Amygdala vs. PFC):

  python bam_engine.py

• Option B: Original Paper Baseline (V2.0)
  The original baseline script used to generate figures in the V2.0 preprint:

  python bam_simulator.py

• Option C: Macro-Social Dynamics (V1.0 Legacy)
  Simulates the inter-observer interaction loop, demonstrating institutional fossilization and system-wide "Critical Burst":

  python legacy_simulations/bam_v1_macro_dynamics.py

Outputs Generated:

• V2.0 Output: bam_simulation_vulnerable.png, bam_comparison_eta.png (Individual cognitive collapse/recovery matching Section 8).
• V1.0 Output: bam_v1_simulation.png (Reproduction of Figure 2 from V1 paper: Convergence, Oscillation, and Burst scenarios).

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🧠 Multiscale Architecture

The Binary Anchor Model (BAM) is a fractal theoretical framework that describes the same structural trap across different scales:

Scale	Model Version	Focus	Core Mechanism
Micro (Brain)	V2.0 (Core)	Individual Decision-making	WTA Master Equation / Amygdala-PFC Antagonism
Macro (Society)	V1.0 (Legacy)	Institutional Saturation	Recursive Update Loops / Fossilized Knowledge

• System A (Biological Anchor): Rooted in survival, interoception, and the amygdala.
• System B (Social Anchor): Rooted in language, institutions, and the PFC.

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🛠 Master Equation (V2.0)

Version 2.0 formalizes the Master Equation as the apex organizing principle of the framework:

$$A_t = \mathrm{WTA}(V_t) \in {0, 1}$$ $$V_t = r_t \cdot m_t + (1 - r_t) \cdot m_{\mathrm{sys}, t}$$ $$\mathrm{WTA}(V_t) = \theta(V_t - T_{\mathrm{E}})$$

Key Formalizations:

• Probabilistic Extension (Soft-WTA): $A_t \sim \mathrm{Bernoulli}(\sigma(V_t - T_{\mathrm{E}}))$
• Hesitation Energy ($H_t$) & Accumulated Load ($I_t$): Dual-trigger mechanisms for computational breakdown (Burst).
• Neurobiological Grounding of $\eta_{A0}$: Amygdala sensitivity and plasticity ($\eta_{\mathrm{A}}(t) = \eta_{A0} \cdot (1 - \phi_t)$).
• Recovery & Threshold Modification: Quantification of $T_{\mathrm{recovery}}$ and past violence history ($h_t$) effects.

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📖 Citation

If you use this model, concepts, or simulation code in your research, please cite:

@article{sawada2026binary,
  author      = {Sawada, Norimitsu},
  title       = {The Binary Anchor: Cognition, Symbolic Loops, and Systems Failure},
  journal     = {Zenodo Preprint},
  year        = {2026},
  month       = {aug},
  version     = {2.0.0},
  doi         = {10.5281/zenodo.21759689},
  url         = {https://doi.org/10.5281/zenodo.21759689}
}

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License

This project is licensed under the Creative Commons Attribution 4.0 International License - see the CC BY 4.0 details.