Predictions for Quantum Measurement: What Extended Electron Structure Implies for Interference, Entanglement, and the Born Rule

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Authors: Clifford Keeble
Cited by: 1
References: 1

Abstract

This is, before anything else, a correction. v1 and v2.0 of this paper claimed that extended electron structure yields six testable predictions and that the Born rule and the measurement problem fall out of the framework. This version keeps the defensible core — the electron treated as an extended structure, and measurement and entanglement reframed so that no "spooky" mechanism is required — and retracts the rest. The reframing of the interpretive layer is real but borrowed: it is the standard ψ-epistemic move (Healey, Fuchs and the QBists, and realist interpretations generally), to which the programme attaches a posited ontology (the electron as extended; the entangled pair as one non-separable object). The mechanism layer — why measurement yields a definite, random, Born-weighted outcome — is not solved here, and §7 says carefully what little it will say about its difficulty. We correct the central error: Bell's theorem excludes all local hidden variables regardless of spatial extent, so "extended structures that were never local" do not escape it — what survives is non-separability, not extendedness. We withdraw the phase-geometry derivation of the Born rule: on its own merits it is circular (it presupposes the |ψ|-amplitude coupling that is most of what |ψ|² asserts), and within the programme it has been superseded by Paper 192's reconstruction of the Born rule as the Galois norm over ℝ(√5) — the account Paper 194 catalogues as the Born-rule vertex. Of the six predictions, one is a clean but non-selective falsifier (correlation-speed), one survives on its own merits (tunnelling interference), one is demoted as physically confused (energy-dependent Bell-violation magnitude), and three are not yet predictions — placeholders whose antecedent (the three-scale structure) is demoted to open pending a null. The a_e match itself is cited from companion papers and not re-litigated here.

Fields of Study & Subjects

Quantum Mechanics and Applications Quantum and Classical Electrodynamics Noncommutative and Quantum Gravity Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
31 May 2026
Document type
Preprint