Entanglement and the incompressible medium

Entanglement is a different question from the collapse of the wave function. Collapse asks why a measurement gives one definite result; RSI answers that the particle was always somewhere. Entanglement asks how two particles far apart can show correlations that no local mechanism can produce.

Experiments testing John Bell's theorem show that these correlations are real. Three tests in 2015 closed the two main loopholes, detection and locality, in a single experiment each, and the 2022 Nobel Prize in Physics went to John Clauser, Alain Aspect and Anton Zeilinger for their experiments with entangled photons. Bell's theorem proves that no theory can match these results while keeping all three of the following: no influence faster than light between the two detectors, answers fixed in advance for every measurement, and detector settings independent of those answers. RSI, like Bohm's theory, gives up the first, so the result at one detector can depend on what is done at the other.

When a pair is created with zero total spin, the medium conserves rotation, so their spins are opposite along whatever axis both are measured. That explains why the results always correspond when both detectors are set the same way. But a pair sorted at birth, like gloves in two boxes, cannot explain what happens when the detectors are set at different angles: at suitable angles the correlations come out stronger than any pre-sorted pair allows. So no particle carries, on its own, a pre-written answer for every angle. A knot always has a definite position and structure, and the result at a given angle is produced when the knot, the detector and the medium interact.

RSI finds the live link in the incompressibility of the Eternal Consonance. In an incompressible medium a change in pressure anywhere is felt everywhere at once. Two knots formed from one disturbance share one region of the medium's tension, so what happens to one reshapes the guide of the other at once. Light and gravitational waves are ripples in the medium's tension and travel at the finite speed c; the medium's pressure balance has no travel time at all. An instantaneous link also needs a preferred frame in which "at once" is defined. Standard physics has none; RSI has the rest frame of the medium.

No message can ride on the link. Each experimenter's results look random, and the statistics at one detector are the same whatever setting is chosen at the other. The correlation appears only when the two lists are compared, through an ordinary channel. The formal step that remains is to show that the flow of this one medium reproduces in every detail the joint mathematics quantum mechanics uses for entangled particles.