Subjective Quantum Structures — Decoherence and Observer Collapse Simulation

📌 Note: A newer version of the related article is available:
Version 3.0 – June 2025: https://doi.org/10.5281/zenodo.15706835
Please consider referring to this updated version for the most recent results and clarifications.

📌 Note: This model complements the simulator-based framework described in
Cognitive Simulator and Subjective Physics – Version 6.0 (June 2025)
https://doi.org/10.5281/zenodo.15705869

This repository contains the simulation code and visualizations accompanying the second study on subjective quantum structures, observer decoherence, and categorical collapse models in the context of cognitive quantum physics. This work extends the simulation framework introduced in the previous publication:

Khomyakov, V. (2025). Subjective Quantum Structures: A Categorical Model of Observer Collapse. Zenodo. https://doi.org/10.5281/zenodo.15670260

---

Overview

The project includes the following Python modules:

• experiment_renkel_decoherence.py Main simulation script modeling entropy dynamics and collapse probabilities under observer decoherence.

• observer_simulator_decoherence.py Core logic for cognitive observers, modeling decoherence as emergent instability in subjective phase space.

• visualization_decoherence.py Plotting and figure generation for all results used in the publication.

• test_visualization.py Unit tests to ensure correctness and consistency of generated visualizations.

• config_decoherence.py Stores default parameters and simulation constants (step count, seeds, thresholds) for reproducible experiments.

All plots are saved to the results/ directory in both .pdf and .png formats.

---

Directory Structure

decoherence_experiment/
├── LICENSE
├── .gitignore
├── README.md
├── requirements.txt
├── config_decoherence.py
├── experiment_renkel_decoherence.py
├── observer_simulator_decoherence.py
├── visualization_decoherence.py
├── test_visualization.py
├── results/
│   ├── ...
└── figures/
    ├── decoherence_effects.pdf
    ├── decoherence_effects.png
    ├── plot_collapse.pdf
    ├── plot_collapse.png
    ├── plot_decoherence.pdf
    ├── plot_decoherence.png
    ├── plot_entropy.pdf
    ├── plot_entropy.png
    ├── plot_entropy_comparison.pdf
    └── plot_entropy_comparison.png

---

Requirements

This project uses the following Python libraries:

• numpy
• matplotlib
• tqdm
• pytest

Install them with:

pip install -r requirements.txt

---

Usage

To run the simulation:

python experiment_renkel_decoherence.py

Generated plots will be saved in the results/ directory. The script automatically creates the directory if it doesn't exist.

To generate visualizations independently:

python visualization_decoherence.py

To test plot generation:

python test_visualization.py

---

Output figures

• decoherence_effects.pdf/png
  Summary plot combining all key dynamics.
  Integrates entropy, collapse probability, and decoherence effects.

• plot_collapse.pdf/png
  Observer collapse probability vs. λ (state distinguishability).

• plot_entropy_comparison.pdf/png
  Comparison of entropy: decoherence vs original.

• plot_entropy.pdf/png
  Cognitive entropy as a function of resolution ε.
  Shows quantized entropy transitions during cognitive differentiation.

• plot_decoherence.pdf/png
  Decoherence effect on state-space trajectories.

---

Configuration

Simulation parameters are defined in config_decoherence.py. By default:

STEPS = 100
SEED_DECOHERENCE = 42
SEED_ORIGINAL = 123

These can be overridden directly in the script or extended via CLI in future versions.

---

License

This project is licensed under the terms of the MIT License.

---

Citation

🔓 Open access publication available at Zenodo.

If you use this code or refer to the associated research, please cite:

@misc{khomyakov2025subjective_quantum_structures,
  author       = {Khomyakov, Vladimir},
  title        = {Subjective Quantum Structures: A Categorical Model of Observer Collapse},
  year         = 2025,
  publisher    = {Zenodo},
  doi          = {10.5281/zenodo.15670260},
  url          = {https://doi.org/10.5281/zenodo.15670260},
  note         = {Available at Zenodo; open source code at \url{https://github.com/Khomyakov-Vladimir/subjective-quantum-structures}}
}

---

Related Publications

• 📘 Cognitive Distinguishability and Quantum Observer Simulation — A Phase Transition Perspective
• 🧐 Based on the formalism of categorical observers and subjective decoherence in emergent quantum cognition