cybics/quant/Bell inequality.md

the experiment that rules out an entire class of explanations. any theory in which outcomes are fixed by local variables carried along with the particles must obey $S \le 2$; quantum mechanics predicts $2\sqrt2$, and nature delivers it

loophole-free tests closed the detection and locality gaps simultaneously in 2015 (Hensen, Giustina, Shalm); the 2022 Nobel Prize followed. this is not interpretation — it is measurement

the consequence for any information-first model of the world is sharp: a local classical stochastic process on a graph cannot reproduce physics. positivity-preserving kernels have no amplitudes to cancel, and without cancellation there is no violation

cyber inherits that limit by construction: the tri-kernel is Perron–Frobenius, so focus is a probability distribution and never an amplitude. the cybergraph models the decohered, classical layer of the world — the layer where records exist and can be agreed upon — which is the layer a consensus must live in anyway

see quantum mechanics · no-cloning theorem · physical analogies

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