Every Loophole Has a Receipt: The Bell Ledger, Closed in Order

For fifty years, every experiment that violated Bell's inequality left a door open behind it: perhaps the detectors discarded the inconvenient pairs, perhaps one side could have signaled the other, perhaps the measurement settings were never really free. This paper enters the experiments that closed those doors into a single dated ledger, each number printed as its authors printed it. The founding receipts are the three loophole-free violations of 2015: Delft, electron spins 1.3 kilometres apart, S = 2.42 ± 0.20 against a classical ceiling of 2 (p ≤ 0.039 allowing memory); Vienna, entangled photons, a Clauser–Horne–Eberhard statistic J = 7.27 × 10⁻⁶ where local realism requires J ≤ 0, at p ≤ 3.74 × 10⁻³¹; Boulder, entangled photons, p as small as 5.9 × 10⁻⁹ and 2.3 × 10⁻⁷ after charging for the predictability of its own random number generators. The freedom-of-choice line is then pushed back in dated steps: human choices from about 100,000 volunteers (2016), Milky Way starlight emitted ~600 years ago (Handsteiner et al. 2017), and quasar light emitted 7.78 billion years ago (Rauch et al. 2018) — the cosmic receipts honestly carrying the fair-sampling assumption the 2015 receipts retired. The one door that remains, superdeterminism, is priced honestly as unfalsifiable: not a loophole with a receipt missing, but a refusal of the premise of experimental inference generally, whose acceptance costs the whole practice of drawing conclusions from controlled experiments. Grade: LEDGER CLOSED IN ORDER — THE REMAINING DOOR IS PRICED, NOT OPEN. This paper stands outside my work on the vacuum catastrophe; it draws nothing from that work and repairs nothing in it.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-02
DOI
https://doi.org/10.5281/zenodo.23926004
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Every Loophole Has a Receipt: The Bell Ledger, Closed in Order

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

Every Loophole Has a Receipt: The Bell Ledger, Closed in Order

William Alexander Aldred
preprint en

Abstract

For fifty years, every experiment that violated Bell's inequality left a door open behind it: perhaps the detectors discarded the inconvenient pairs, perhaps one side could have signaled the other, perhaps the measurement settings were never really free. This paper enters the experiments that closed those doors into a single dated ledger, each number printed as its authors printed it. The founding receipts are the three loophole-free violations of 2015: Delft, electron spins 1.3 kilometres apart, S = 2.42 ± 0.20 against a classical ceiling of 2 (p ≤ 0.039 allowing memory); Vienna, entangled photons, a Clauser–Horne–Eberhard statistic J = 7.27 × 10⁻⁶ where local realism requires J ≤ 0, at p ≤ 3.74 × 10⁻³¹; Boulder, entangled photons, p as small as 5.9 × 10⁻⁹ and 2.3 × 10⁻⁷ after charging for the predictability of its own random number generators. The freedom-of-choice line is then pushed back in dated steps: human choices from about 100,000 volunteers (2016), Milky Way starlight emitted ~600 years ago (Handsteiner et al. 2017), and quasar light emitted 7.78 billion years ago (Rauch et al. 2018) — the cosmic receipts honestly carrying the fair-sampling assumption the 2015 receipts retired. The one door that remains, superdeterminism, is priced honestly as unfalsifiable: not a loophole with a receipt missing, but a refusal of the premise of experimental inference generally, whose acceptance costs the whole practice of drawing conclusions from controlled experiments. Grade: LEDGER CLOSED IN ORDER — THE REMAINING DOOR IS PRICED, NOT OPEN. This paper stands outside my work on the vacuum catastrophe; it draws nothing from that work and repairs nothing in it.

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
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