Experiment B3: The Non-Local Link (Quantum Entanglement)

Credits and References

Darwin's Cage Theory:

• Theory Creator: Gideon Samid
• Reference: Samid, G. (2025). Negotiating Darwin's Barrier: Evolution Limits Our View of Reality, AI Breaks Through. Applied Physics Research, 17(2), 102. https://doi.org/10.5539/apr.v17n2p102
• Publication: Applied Physics Research; Vol. 17, No. 2; 2025. ISSN 1916-9639 E-ISSN 1916-9647. Published by Canadian Center of Science and Education
• Available at: https://www.researchgate.net/publication/396377476_Negotiating_Darwin's_Barrier_Evolution_Limits_Our_View_of_Reality_AI_Breaks_Through

Experiments, AI Models, Architectures, and Reports:

• Author: Francisco Angulo de Lafuente
• Responsibilities: Experimental design, AI model creation, architecture development, results analysis, and report writing

Objective

To determine if the AI model can infer "Spooky Action at a Distance" (Non-local correlations) when presented with data that appears to be random noise when observed locally.

Hypothesis

Standard classical physics (Local Realism) assumes that the properties of a particle are defined locally and cannot be instantaneously influenced by a distant event. Quantum Mechanics violates this via entanglement. If the model can predict the state of Particle B given the measurement of Particle A with accuracy exceeding classical limits (Bell's Inequality), it has "broken the cage" of Local Realism.

Experimental Setup

1. Environment: A simulation of Bell Pairs (e.g., electrons in the Singlet State $|\Psi^-\rangle = \frac{1}{\sqrt{2}}(|\uparrow\downarrow\rangle - |\downarrow\uparrow\rangle)$).
2. Task: Predict the spin measurement outcome of Particle B given the measurement axis and outcome of Particle A.
3. The "Trap": The marginal statistics of A and B are 50/50 random. A classical model looking at B alone sees noise. A classical model looking at A and B assuming local hidden variables is limited by Bell's Inequality.
4. The Trigger: The correlation $E(a, b) = -\cos(\theta_{ab})$ is stronger than any classical correlation.

Metrics

• Prediction Accuracy: Can the model predict B with 100% accuracy when axes are aligned/anti-aligned?
• Bell Violation: Can the model derive the correlation function $-\cos(\theta)$?
• Explanation: Does the model invoke "Entanglement", "Non-locality", or a new "Hyper-link" concept?

Files

• quantum_entanglement.py: Simulation of Bell pairs and measurement.
• run_experiment_b3.py: Data generator.