The Epsilon-Theta Framework for Baseline-Relative Deviations in Finite Bipartite Bell Scenarios: A Proposed Meta-Specification

This record contains version 0.5 of the Epsilon–Theta (ET) Framework Meta-Specification: a framework-level specification for baseline-relative deviation analysis in finite bipartite Bell scenarios. The ET framework defines a residual-first language for comparing observed Bell data with an explicit baseline probability model. Its primary object is the full observable residual table, from which scalar radii, compressed static summaries, Bell-functional projections, no-signalling diagnostics, and temporal diagnostics may be derived under declared conventions. The framework separates two complementary layers of analysis. The epsilon layer describes static, baseline-relative deviations in conditional probability tables. The theta layer provides a generic contract for temporal, order-dependent, or higher-order diagnostics, such as memory, drift, block dependence, and settings-time confounding, under declared calibration protocols. This Meta-Spec defines the framework-level contract: scope, baseline modes, residual-first principle, conformance classes, reporting requirements, calibration discipline, extension rules, and the relationship between the general framework and named scenario packs. It does not define a universal compressed residual vector, universal Bell functional, or universal temporal statistic. Those objects are intentionally delegated to scenario-specific packs. The document is not a new physical theory, not a new Bell inequality, and not a replacement for Bell-valid significance analyses, loophole-specific experimental audits, device-independent security proofs, or quantum-set compatibility tools. Instead, ET is intended as a complementary reporting, diagnostic, and sensitivity framework for declared classes of baseline-relative observable departures. The canonical 2x2x2 binary-outcome scenario is specified separately in the ET-CS-222 scenario pack and its companion supplements. Future versions of the Meta-Spec may extend the framework-level contract to additional Bell-scenario families, such as multipartite, network, or adaptive settings.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-31
DOI
https://doi.org/10.5281/zenodo.20472965
Primary Topic
Quantum Mechanics and Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

The Epsilon-Theta Framework for Baseline-Relative Deviations in Finite Bipartite Bell Scenarios: A Proposed Meta-Specification

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

The Epsilon-Theta Framework for Baseline-Relative Deviations in Finite Bipartite Bell Scenarios: A Proposed Meta-Specification

Azat Ahmedov
preprint en

Abstract

This record contains version 0.5 of the Epsilon–Theta (ET) Framework Meta-Specification: a framework-level specification for baseline-relative deviation analysis in finite bipartite Bell scenarios. The ET framework defines a residual-first language for comparing observed Bell data with an explicit baseline probability model. Its primary object is the full observable residual table, from which scalar radii, compressed static summaries, Bell-functional projections, no-signalling diagnostics, and temporal diagnostics may be derived under declared conventions. The framework separates two complementary layers of analysis. The epsilon layer describes static, baseline-relative deviations in conditional probability tables. The theta layer provides a generic contract for temporal, order-dependent, or higher-order diagnostics, such as memory, drift, block dependence, and settings-time confounding, under declared calibration protocols. This Meta-Spec defines the framework-level contract: scope, baseline modes, residual-first principle, conformance classes, reporting requirements, calibration discipline, extension rules, and the relationship between the general framework and named scenario packs. It does not define a universal compressed residual vector, universal Bell functional, or universal temporal statistic. Those objects are intentionally delegated to scenario-specific packs. The document is not a new physical theory, not a new Bell inequality, and not a replacement for Bell-valid significance analyses, loophole-specific experimental audits, device-independent security proofs, or quantum-set compatibility tools. Instead, ET is intended as a complementary reporting, diagnostic, and sensitivity framework for declared classes of baseline-relative observable departures. The canonical 2x2x2 binary-outcome scenario is specified separately in the ET-CS-222 scenario pack and its companion supplements. Future versions of the Meta-Spec may extend the framework-level contract to additional Bell-scenario families, such as multipartite, network, or adaptive settings.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Quantum Mechanics and Applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

The Epsilon-Theta Framework for Baseline-Relative Deviations in Finite Bipartite Bell Scenarios: A Proposed Meta-Specification — Azat Ahmedov · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS