Two State Ontology (TSO) — Quantum Validation

Please try to falsify this.

TSO derives quantum phase transition behavior from percolation theory. The predictions come from mathematics before comparison with experiment — no parameter fitting.

Results

Platform	Tests	Passed	Notes
IBM Marrakesh	12	11	Failed test was programming error (fixed)

Core Predictions

TSO derives these values (not fitted):

Parameter	Value	Source
p_c	0.3116	3D site percolation threshold
N_c	6	Cubic lattice coordination number
α	7/(1 + e×ρ_c) ≈ 2.58	Hilbert space geometry

The Key Claim

At the measurement-induced phase transition (MIPT):

S(p) = S_max × tanh(κ × N_c × (p_c - p) / p_c)

The transition occurs at p_c ≈ 0.31 with sigmoid crossover.

Quick Start

# Clone
git clone https://github.com/YOUR-USERNAME/tso-validation.git
cd tso-validation

# Install
pip install -r requirements.txt

# Run on simulator
python tso_validation.py --backend aer_simulator

# Run on IBM hardware (requires IBM Quantum account)
python tso_validation.py --backend ibm_marrakesh --shots 4096

How to Falsify TSO

Prediction	How to Break It
p_c = 0.31 ± 0.02	Find transition at different threshold
Sigmoid crossover	Show linear or step-function transition
κ varies with topology	Show κ constant across all connectivities

Files

tso-validation/
├── README.md              # This file
├── tso_validation.py      # Main validation script
├── requirements.txt       # Dependencies
├── LICENSE               # MIT License
└── results/              # Validation data

Author

John Pepin — Independent Researcher — incapp.org

License

MIT License — Use freely, attribute appropriately.