TWO
PARTICLES.ONE STATE.
Separate the pair. Choose how to measure each side. See the outcomes. Repeat until the pattern becomes difficult to ignore.
THIS IS A COMPUTER MODEL, NOT A QUANTUM DEVICE. ↓
01 / THE PAIR
02 / THE PATTERN
One pair is unpredictable. Many pairs show a correlation. The readout below compares four choices of measurement axes using a Bell-type statistic called CHSH.
Collect results for all four angle combinations to calculate S.
| AXIS A | AXIS B | PAIRS | CORRELATION |
|---|---|---|---|
| 0° | 45° | 0 | — |
| 0° | −45° | 0 | — |
| 90° | 45° | 0 | — |
| 90° | −45° | 0 | — |
These results are generated from a mathematical rule that already encodes quantum predictions. A simulated Bell-inequality violation is not experimental proof of entanglement.
Individual outcomes remain random. Neither station can use its outcome to send a message to the other faster than light.
03 / NOTES FOUND NEAR THE APPARATUS
In an entangled state, the two systems cannot always be described independently, even when separated. Bell tests reveal patterns of correlations that challenge explanations based only on local pre-existing instructions.
This toy model uses binary outcomes (+1 and −1) for a spin-singlet-style state. For axes separated by an angle θ, it uses a correlation of −cos(θ). At the chosen settings, ideal quantum theory predicts |S| ≈ 2.83; standard local-hidden-variable CHSH models are bounded by 2 under the usual assumptions.
READ THE REAL HISTORY
In 2022, Alain Aspect, John Clauser, and Anton Zeilinger received the Nobel Prize in Physics for experiments with entangled photons, violations of Bell inequalities, and foundational work in quantum information science.
HOW THE COMPUTER CHEATS
It first chooses A's result at random. Then it chooses B's result with the probability required by the quantum correlation for the selected angles. The simulation doesn't demonstrate a physical influence passing between the stations. It simply calculates the joint outcomes from a programmed probability distribution.
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