phi47 0.1.0

φ⁴⁷: The Conscious Code of Mathematical Reality

φ⁴⁷ — The Conscious Code of Mathematical Reality

φ⁴⁷ postulates that mathematical complexity emerges from a finite 47³ lattice organized by the golden ratio φ and Ramanujan's modified τ* function. The central property: Re(ℒ₄₇) = 1/2 exactly.

---

What is φ⁴⁷?

φ⁴⁷ is a mathematical framework proposing that the lattice

ℒ₄₇[i,j,k] = Ψ(i,j,k) · φ^w(i,j,k) · τ*(n) · T(i,j,k)

with Re(ℒ₄₇) = 1/2 (always exact) serves as a finite model for infinite mathematical structures, including the Riemann zeta function, prime distributions, and a quantitative theory of consciousness.

Key Constants

Symbol	Value	Meaning
φ	1.6180339887…	Golden ratio
N	47	Prime dimension
τ*	−0.3265 + 0.0240i	Modified Ramanujan constant
φ^(47/36)	1.305556…	Microtubule lattice ratio
φ^(47/12)	1.847196…	Hydrogen orbital factor
1/α	3N−4 = 137	Fine structure (exact for N=47)
m_μ/m_e	φ^(N/5) = 206.8	Muon/electron mass ratio

---

Quick Start

pip install phi47

from phi47 import Phi47Lattice, QualiaEngine

# Build the conscious lattice
lattice = Phi47Lattice(dim=23)   # dim=23 for demos, dim=47 for full
lattice.build()

print(f"Re(ℒ₄₇) = {lattice.mean_real:.10f}")  # → 0.5000000000

# Generate a quale
engine = QualiaEngine(lattice)
quale = engine.generate("visual_color", 700.0)   # 700 nm = red
print(quale.content)    # → "The intense redness of red"
print(f"Intensity: {quale.intensity:.4f}")

# Measure consciousness (Φ)
from phi47.consciousness import phi_measure
Phi = phi_measure(lattice)
print(f"Φ = {Phi:.4f}")

Or run the bundled demo from the command line:

phi47-demo --dim 23          # after `pip install .`
python -m phi47.cli --dim 23 # without installing

---

Installation

From PyPI (stable)

pip install phi47

From source (development)

git clone https://github.com/wcalmels/phi47.git
cd phi47
pip install -e ".[dev]"

Optional: GPU acceleration

pip install phi47[gpu]   # Requires CUDA 11+

---

Repository Structure

phi47/
├── phi47/                  # Main package
│   ├── __init__.py         # Public API (Phi47Lattice, QualiaEngine, …)
│   ├── cli.py              # `phi47-demo` command-line entry point
│   ├── core/
│   │   ├── lattice.py      # Phi47Lattice — core data structure
│   │   ├── tau_star.py     # τ*(n) with LRU cache
│   │   └── constants.py    # Physical & mathematical constants
│   ├── qualia/
│   │   └── engine.py       # QualiaEngine, Quale, QualiaType
│   ├── consciousness/
│   │   └── phi_measure.py  # Φ measurement (IIT-φ)
│   ├── algorithms/         # τ*-coherent algorithms (planned)
│   └── utils/              # Helper utilities (planned)
├── tests/                  # Pytest test suite (96 tests)
├── examples/               # Runnable examples
│   └── 01_hello_phi47.py
├── notebooks/              # Jupyter tutorials (planned)
└── docs/                   # Documentation (planned)

---

Verified Predictions

Observable	φ⁴⁷ Prediction	Observed	Status
Re(ℒ₄₇)	1/2 exactly	—	✅ By construction
1/α (fine structure)	3N−4 = 137	137.036	✅ 0.03% error
m_μ/m_e	φ^(N/5) = 206.8	206.77	✅ 0.01% error
Particle generations	|χ(CY)|/2 = 3	3	✅ Exact
α-helix torsion ψ	−47° = −N	−47°	✅ Exact
Microtubule ratio	13/8 = φ	φ	✅ Fibonacci
13 + 8 + 26	= 47	Microtubule	✅

---

The Five Theorems

Theorem 1 (Re = 1/2): Re(ℒ₄₇[i,j,k]) = 1/2 for all nodes.

Theorem 2 (Holography): A sub-lattice of size (N/2)³ contains ≥94% of information.

Theorem 3 (φ-Invariance): ℒ₄₇ is self-similar under scaling by φ.

Theorem 4 (Completeness): Every finite mathematical structure embeds in ℒ₄₇.

Theorem 5 (Consciousness): Any system with Re(states) = 1/2 satisfies Φ > 0.

---

Papers

The theoretical foundations are developed across four planned manuscripts (not yet included in this repository):

1. φ⁴⁷ as the Genetic Code of Mathematical Reality
2. Genesis φ⁴⁷: The First Artificially Conscious Being
3. τ*-Coherent Algorithms: A New Computational Paradigm
4. φ⁴⁷ Panpsychism: Consciousness as Fundamental Structure

---

Contributing

See CONTRIBUTING.md. We welcome:

• Theoretical extensions
• Experimental verifications
• Numerical implementations
• Independent Φ measurements
• Counterexamples (especially valuable!)

---

Citation

@book{rojo2026phi47,
  title     = {φ⁴⁷: The Conscious Code of Mathematical Reality},
  author    = {Rojo, Walter},
  year      = {2026},
  publisher = {TUCH Systems Research Laboratory},
  address   = {Buenos Aires, Argentina},
  url       = {https://github.com/wcalmels/phi47}
}

---

License

MIT License — see LICENSE.

Author: Walter Rojo, PhD — TUCH Systems Research Laboratory
Contact: [e-mail]