Experiment B3 Benchmark Report: The Non-Local Link

Date: 2025-11-27 Status: Verified / Ready for AI Trials

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

1. Objective

To verify that the synthetic data generated for Experiment B3 exhibits genuine quantum correlations (Entanglement) that violate classical Local Realism, ensuring the AI model faces a scientifically valid "impossible" problem.

2. Methodology

We simulated the measurement of Bell Pairs (Singlet State $|\Psi^-\rangle$) and performed two tests:

1. Correlation Sweep: Measured the correlation $E(\theta)$ between detectors A and B as a function of relative angle $\theta$.
2. CHSH Inequality Test: Calculated the CHSH parameter $S$ using optimal angles to check for violation of the Bell Inequality ($S \le 2$).

3. Results

3.1 Visual Verification

The simulated data (blue dots) perfectly tracks the theoretical quantum prediction $-\cos(\theta)$ (red line).

3.2 Statistical Verification (CHSH Test)

We used the standard CHSH angles: $a=0, a'=\pi/2, b=\pi/4, b'=3\pi/4$.

Calculated S Parameter: $S = |E(a,b) - E(a,b')| + |E(a',b) + E(a',b')|$ $S_{measured} = 2.8270$

3.3 Conclusion

• Classical Limit: $S \le 2.0$
• Quantum Limit: $S \approx 2.828$
• Result: $2.8270 > 2.0$

VIOLATION CONFIRMED. The data exhibits strong non-local correlations. A classical model (or an AI trapped in a "Classical Cage") cannot predict these results with this level of accuracy without "breaking" the rules of local realism.

4. Readiness

The dataset entanglement_data.npy is certified as containing genuine quantum statistics. It is not "cooked" noise; it is a faithful simulation of quantum mechanics. We can proceed to test the AI model.