Quantum entanglement: a relation, not a signal
Entanglement is the fact that two particles share a single relational state: what is measured on one tells about the other because they form a pair, not because a signal travels between them. The correlation is not action at a distance; it is a common memory that measurement updates.
What physics establishes
FactIn 1935, Einstein, Podolsky and Rosen held it paradoxical that measuring one particle seems to fix the state of another instantly, however far away. Bell (1964) showed that quantum correlations exceed anything a local hidden-variable theory allows; experiment confirms it, from Aspect (1982) to the 2015 tests, recognised by the 2022 Nobel Prize in Physics.
FactNo usable information passes from one observer to the other: each, taken alone, sees structureless results. The correlation appears only when the two lists are compared.
The ARC reading
ReadingRelations come before objects. The two entangled particles are not two things linked after the fact; they are the two members of one pair, like x and 9 − x in the grid of nine digits. Their correlation expresses this joint occupation.
ReadingThe state update after the first measurement is not a signal propagating through spacetime: it is a change of coordinate in the shared state, established when the pair was created. No observable depends on the order of measurements, in any frame.
TheoremThis framework recovers exactly the quantum prediction for the singlet state, E = −cos θ, and the Tsirelson bound 2√2, with no wave function and no operator.
ReadingThe randomness of outcomes is not fundamental: it is the residue of a lossy projection from the sphere to two values, +1 or −1.
What would test it
PredictionIf entanglement is a position in the grid, maximally entangled states, which reach 2√2, occupy the central pair (4, 5), and partially entangled states occupy computable intermediate positions. The prediction can be tested on data from Bell-type experiments with variable entanglement.
Further reading
- Volume 7, The Physics Reread (English summary)
- Chapter 2: quantum correlations by sequential projection (in French)
- Volume 7, full PDF (in French)