Spooky Action Revisited: Entanglement Topology and Magic Valence as Independent Components of Quantum Non-Classicality

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Einstein's "spooky action at a distance" conflates two distinct phenomena: statistical non-locality (correlations that violate Bell inequalities) and computational non-classicality (correlations that cannot be efficiently simulated classically). These are not the same thing.

This paper shows that quantum non-classicality has two independent components: entanglement topology (which parties are correlated, measured by concurrence or entanglement entropy) and magic valence (what kind of non-classical correlations they share, measured by the Fano orbit label {p_L}). The Bell/CHSH framework captures the first component but not the second. The Fano Line Verification Game captures both.

Crucially: a maximally entangled Bell pair |Φ⁺⟩ = (|00⟩ + |11⟩)/√2 is a stabiliser state — it has orbit label L=0 and zero magic. It violates Bell inequalities but is efficiently classically simulable by the Gottesman-Knill theorem. Computationally meaningful "spookiness" — the kind that enables quantum advantage — requires magic (non-zero orbit valence), not just entanglement.

The Spacelike Associator Paradox, Hardy's Paradox, and the Fano Monogamy Paradox are revisited through this two-component lens. Each is sharpened: the ORBIT opcode provides a concrete experimental test distinguishing entanglement non-locality from magic non-locality in a single 7-measurement protocol. Einstein's objection to spooky action is reinterpreted: he objected to entanglement non-locality alone — the second component, magic non-locality, was not accessible to him.

Keywords

Spooky Action, Quantum Non-Locality, Entanglement, Magic Valence, Fano Orbit, Bell Inequality, CHSH Inequality, Gottesman-Knill Theorem, Magic State, Wigner Negativity, ORBIT Opcode, Fano Line Verification Game, W(5,2), Quantum Advantage, Stabiliser State, Einstein, Hardy's Paradox, Entanglement Topology, Magic Non-Locality, Origami ISA, TriQ, PG(2,2), Quantum Resource Theory, Classical Simulation, Non-Classicality