The Proximal Correlation Model

CHOOSE MAGNET SETTINGS AND RUN THE EXPERIMENT YOURSELF

Liquid Gravity © 2026 · liquidgravity.nz

Every outcome below is generated by our own mechanistic model — a particle angle drawn from a von Mises distribution, checked against a 90° threshold, exactly as derived in the papers linked from the home page. Nothing here calls or computes quantum mechanics directly. The dashed cyan line on the chart is the quantum mechanical prediction, shown purely as a comparison target. The dotted red line is a second, genuinely simulated comparison: the plain, unweighted local hidden-variable model that Bell's theorem rules out — run under identical settings, alongside the model above, so you can watch our own results track quantum mechanics while this naive alternative does not.

M = Magnet_A if Spin(−) is particle A, else Magnet_B

φ ~ VonMises(M, κ = 2.107)

θ = | shortest_path( φ − Magnet ) |

Spin = −initial if θ > 90°, else +initial

THE ENTANGLED MECHANISM, IN FOUR LINES — φ AND θ AS DEFINED ABOVE

A mechanistic replica of the Stern-Gerlach experiment for an entangled pair. Adjust the two magnet angles and run your own trials to see how closely the results track the real quantum mechanical prediction.

MAGNET A

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MAGNET B

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SHARED VALUE

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SPIN A

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SPIN B

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THE TWO ANGULAR DEGREES OF FREEDOM

The equatorial angle φ (cyan) is the particle's own random draw — it never moves on its own. The polar angle θ (amber) is measured relative to whichever magnet is currently checking it. Try it live: drag the sliders, toggle which magnet the axis follows, or draw a fresh random φ below.

EQUATORIAL ANGLE (φ)

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POLAR ANGLE (θ), CURRENT MAGNET

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RESULTING SPIN (assumes initial = +1)

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AXIS FOLLOWS

EQUATORIAL PLANE

MAGNET SETTINGS

Magnet A35°

Magnet B205°

RESULTS

TRIALS RUN

% DIFFERENT

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QM PREDICTION

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SEPARATION

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% FLIP (A)

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% FLIP (B)

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LGA Model (cumulative) QM prediction Naive local hidden variable