Temporal Bell Inequalities and Global Consistency in Modal Triplet Theory: A Conditional Sequential-Instrument Analysis

Version 2. This paper gives a typed Leggett-Garg analysis in which laboratory clock time, auxiliary stabilization time, channels, and sequential measurement instruments are distinct data. It proves the standard -3 ≤ K ≤ 1 bound under a common context-independent joint distribution, a conditional no-retro-signaling statement for causal instruments, and a non-selection theorem showing that projection language alone supports both satisfying and violating realizations. An explicit qubit and Luders-instrument packet gives K = 3/2 as a standard quantum operational realization. It becomes an MTT result only if a selected MTT source descends to that same packet.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-28
DOI
https://doi.org/10.5281/zenodo.21650911
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Temporal Bell Inequalities and Global Consistency in Modal Triplet Theory: A Conditional Sequential-Instrument Analysis

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

Temporal Bell Inequalities and Global Consistency in Modal Triplet Theory: A Conditional Sequential-Instrument Analysis

Peter Nero
preprint en

Abstract

Version 2. This paper gives a typed Leggett-Garg analysis in which laboratory clock time, auxiliary stabilization time, channels, and sequential measurement instruments are distinct data. It proves the standard -3 ≤ K ≤ 1 bound under a common context-independent joint distribution, a conditional no-retro-signaling statement for causal instruments, and a non-selection theorem showing that projection language alone supports both satisfying and violating realizations. An explicit qubit and Luders-instrument packet gives K = 3/2 as a standard quantum operational realization. It becomes an MTT result only if a selected MTT source descends to that same packet.

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