Reflexia: Nonlocal Mirror / Quantum Nonlocality
Quantum Foundations arc, page 4 of 193. Back to The Pixelated Physics Universe
Who they are
Two particles, far apart, keep answering in step, and no message passes between them. Bell tests show entangled particles share correlations no local theory explains, yet no signal passes. Reflexia wears it in pixel art on a unisex tee.
Reflexia is a character of the Quantum Foundations arc: drawn in pixels, ruled by one piece of real physics, and never allowed to break it.
The physics
The CHSH combination S adds up correlations measured with two settings on each side. Any local theory with pre-set answers keeps |S| at 2 or less, while quantum mechanics allows up to 2√2, and experiments find the quantum value.
$$ \begin{gathered} S = E(a,b) - E(a,b^{\prime}) + E(a^{\prime},b) + E(a^{\prime},b^{\prime}) \\ \lvert S\rvert \le 2 \ (\text{local}), \qquad \lvert S\rvert \le 2\sqrt{2} \ (\text{quantum}) \\ E(a,b) = -\cos(\theta_a - \theta_b) \ (\text{singlet}) \end{gathered} $$
| Symbol | Meaning | SI unit |
|---|---|---|
| $S$ | CHSH combination | 1 |
| $E(a,b)$ | correlation of ±1 outcomes for settings a, b | 1 |
| $\theta_a, \theta_b$ | analyser angles | rad |
Sources
- Bell (1964) On the Einstein Podolsky Rosen paradox, Physics 1, 195
- Clauser, Horne, Shimony, Holt (1969) Proposed Experiment to Test Local Hidden-Variable Theories, PRL 23, 880
- Freedman & Clauser (1972) Experimental Test of Local Hidden-Variable Theories, PRL 28, 938
- Aspect, Dalibard, Roger (1982) Experimental Test of Bell’s Inequalities Using Time-Varying Analyzers, PRL 49, 1804
- NobelPrize.org — The Nobel Prize in Physics 2022 (Aspect, Clauser, Zeilinger)
- Cirel’son (1980) Quantum generalizations of Bell’s inequality, Lett. Math. Phys. 4, 93
- Hensen et al. (2015) Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres, Nature 526, 682
Crossovers
Reflexia meets Quavo & Lia (Entangled Twins / Quantum Connection). Quavo and Lia always give opposite answers along a shared axis. Reflexia shows the stronger result: across different axes, their correlations break Bell's inequality, so no local hidden plan could produce them. Still, neither twin can use this to send a message.
Reflexia meets Kochenspek (Kochen–Specker Theorem). Reflexia rules out local hidden variables. Kochenspek rules out non-contextual ones, with no assumption about locality. Two different theorems close two different doors, and contextual, nonlocal theories such as Bohmian mechanics walk through neither.
Wear the lore
- Reflexia – The Nonlocal Mirror / Quantum Nonlocality Physics T-Shirt
- Related infographic poster: Tsirelson's 2√2 – Plate 039 Physics Poster
Concept keywords: Nonlocal Mirror / Quantum Nonlocality, Reflexia, Quantum Foundations, physics lore, Pixelated Physics