Bell Test Experiments
Locality, realism, and entanglement
First published: J. S. Bell, "On the Einstein Podolsky Rosen Paradox", *Physics* 1 (1964): 195–200. Aspect, Dalibard, Roger, "Experimental test of Bell's inequalities using time-varying analyzers", *Phys. Rev. Lett.* 49 (1982).
No theory that is both local and admits definite pre-existing values can match the observed correlations.
Bell's theorem shows that any local hidden-variable theory must satisfy certain inequalities relating correlation statistics across pairs of entangled particles. Quantum mechanics predicts violations of those inequalities — and the experiments (Aspect 1982; loophole-free Hensen 2015, Giustina 2015, Shalm 2015) confirm violations to high statistical significance. The result is one of the most important metaphysical findings of twentieth-century physics: at least one of *locality* (no causal influence faster than light) and *realism* (measurement outcomes correspond to pre-existing properties) must be given up.
Formulation
Two entangled particles separated to space-like intervals are measured along independently-chosen axes. Local hidden-variable theories require correlation statistics |S| ≤ 2 (the CHSH inequality). Quantum mechanics predicts and experiments observe |S| ≈ 2√2 ≈ 2.83, with loophole-free experiments (2015) closing locality, detection, and freedom-of-choice loopholes simultaneously.
Dimensions Engaged
Space
Directly contradicts strict Space · Locality: either the correlations require non-local connections in some sense, or the spatial separation of "things" is itself less fundamental than the joint state.
Time
Bears on Time · Direction and Freedom via the "superdeterminism" loophole: a sufficiently determined past could in principle correlate measurement-setting choices with hidden variables. Most physicists reject this; the price is high.
Matter
Forces Matter · Ontological Status: standard "realism" — that properties have definite values prior to measurement — cannot be retained alongside locality. Entanglement is a relation that is not reducible to local intrinsic properties of the parts.
Responses — How Schools Engage
Affirms / takes the bait 3
The wave function is the real entity; entangled systems have no separate states. Locality, as classical physics framed it, simply fails — there is one joint state, not two correlated local ones.
Relational quantum mechanics (Rovelli): properties exist only relative to systems with which they are correlated. There is no "view from nowhere" from which to ask whether the spins are non-locally connected; the question reflects a residual absolutism.
Bell tests are the strongest single argument for ontic structural realism: the entangled pair has no factorisable inventory of intrinsic properties — only the relational structure is real.
Reframes the question 3
Everettian: there is no faster-than-light influence because there is no single outcome to influence. Locality is preserved at the level of the branching wavefunction; "non-locality" is an artifact of demanding a single outcome.
Bohmian mechanics retains realism (particles have positions) but pays with explicit non-locality: the pilot wave acts instantaneously across space. The experiment is taken to favour pilot-wave over collapse readings, not to refute realism.
A small minority defend superdeterminism (’t Hooft): the freedom-of-choice loophole was never closed in the metaphysically relevant sense, because no choice in a fully determined world is free. Locality and realism survive at the cost of treating the experimenters as cogs.
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Further reading
- Bell, *Speakable and Unspeakable in Quantum Mechanics* (1987)
- Hensen et al., "Loophole-free Bell inequality violation", *Nature* 526 (2015)
- Maudlin, *Quantum Non-Locality and Relativity* (3rd ed. 2011)
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