Two particles behave like a pair of unusual dice: thrown at opposite ends of the universe, they always land on the same face. Physicist John Stewart Bell calculated: if the dice had hidden rules, the frequency of matches would have a strict limit. The experiments of Alain Aspect, supporting the Standard Model, broke this limit — meaning the connection between particles faster than light doesn’t fit into ordinary frameworks. Three scientists search for an explanation. First: there are no rules, fundamental randomness reigns — just as entropy relentlessly generates disorder. Second: the observer is always limited and doesn’t see the full picture. Third: add extra dimensions, and the restrictions vanish. The most surprising conclusion belongs to Bell himself: what we must abandon is not locality (instantaneous connection), but realism — the belief that particles have pre-existing properties. This turns our understanding of reality upside down.
as written by the authors arXiv:2605.13154
Bell's theorem states that no description of a Bell experiment can be simultaneously local, realistic in the sense of counterfactual definiteness, and free of conspiracy between settings and hidden state. The recent generation of experiments has confirmed the predicted violation of the CHSH inequality, so one of the assumptions must be abandoned. Which one, and how one reconstructs a coherent worldview after doing so, is a question on which many authors disagree. This paper is written by three such authors. All three reject both counterfactual definiteness and conspiratorial violation of statistical independence of setting choices and state. After a joint exposition of the classical half of Bell's theorem in the language of Pearl-style causal graphs, a joint summary of the loophole-free experiments, and a joint survey of the recent literature, each author states where they have presently arrived. Gill accepts irreducible and non-local quantum randomness and finds the choice between locality and realism a false dichotomy. In his later works, Bell derives counterfactual definiteness from classical local causality, and that is what has to go. The metaphysical concepts "realism", "locality", "causality" need to be reconsidered. Helland reconstructs the Hilbert-space formalism from a theory of accessible variables, and from this theory he concludes that every observer must be limited in a specific sense. Jongejan proposes a geometric hidden-variable construction in which the degree of violation of the CHSH inequality depends on the number of dimensions of space, Tsirelson's bound corresponding to three dimensions. The authors conclude with a discussion.
The strength of quantum connections in our three-dimensional space is limited (Tsirelson's bound). In worlds with a different number of dimensions, correlations could be much stronger.
Instantaneous particle connection is the physical analogue of the ansible from science fiction, a device for communication at any distance, described in Ursula Le Guin's novels.