A rotating disc replicates the prediction of quantum mechanics
"[R]enunciation of the visualisation of atomic phenomena is imposed upon us by the impossibility of their subdivision ..." - Niels Bohr, Discussions with Einstein on Epistemological Problems in Atomic Physics
A thought experiment follows in which a visualizable model of a rotating disc replicates the prediction of quantum mechanics with respect to coincidence of observation of entangled particles.
- A planet ringed at its equator is observed from various angles along a single 360° longitude intersecting both poles.
- The observation is limited and lacking any depth of field but consistent.
- The planet itself is invisible and effectively transparent.
- The ring system is sparsely populated with mass, effectively a semi-transparent disc whose direction of rotation is noted as best can be determined.
- If the ring system is observed equator-on, the ring motion in opposite directions is observed superimposed with no depth of field.
- A observation always results in a binary direction of rotation, 1 or 0 (or left and right).
- The superimposed observation of the ring system is increasingly disambiguated by the approach of the angle of observation to 0° or 180°, i.e., directly over either pole.
- As the observation moves towards the equator-on view, the binary result chosen by the observation is increasingly determined by local conditions.
- Any such local conditions are consistent and two observations equator-on 180° apart would yield opposite unreliable results.
- cos θ is thus the reliability of an observation from angle θ measured for 90° from the equator towards either pole.
- cos θ' is then the probability of a coincidence of two such observations where θ' is the angle up to 90° between two observers where the angle crosses a pole.
- This replicates the prediction of quantum mechanics with respect to coincidence of observation of entangled particles.
- "When observations at an angle of θ are made on two entangled particles, the predicted correlation is cosθ." - Wikipedia, Bell's Inequality.
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