An Executable Cartography of the Local Boundary: Emergent Malus Law and S = 2.0000 in Event-Based Local Models

This document consolidates a family of deterministic, event-based local models, built by directed evolution across generations, that reaches the local CHSH ceiling (S = 2.0000, certified with two independent seeds at 10 million events) while simultaneously maintaining: full acceptance (every generated event is counted — no detection loophole), an emergent Malus law (the cos² is born from the coupling rules, verified by ablation), the complete closed form of the sixteen base functions (eight + eight quadrature sisters), and a closed form for the correlation curve itself, E(a,b), obtained in a blind audit by an independent analyst and verified against the certified gates to four decimal places. This work does NOT claim a violation of Bell's theorem: it documents the local boundary from the inside, with the arithmetic proof of the ceiling reproduced within the model's own enumeration and generalized by an algebraic seal independent of the function family. The contribution is cartographic: what the local class can reach, by which mechanisms, at what prices. The package includes the full paper (English and Portuguese versions), the runnable simulator (curvas.py, MIT license), and the certified run output (N = 10⁶ per point) with complete provenance.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-16
DOI
https://doi.org/10.5281/zenodo.22797387
Primary Topic
Theoretical and Computational Physics
Type
preprint
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An Executable Cartography of the Local Boundary: Emergent Malus Law and S = 2.0000 in Event-Based Local Models

Wesley Campos
Zenodo (CERN European Organization for Nuclear Research)
Theoretical and Computational Physics
preprint

An Executable Cartography of the Local Boundary: Emergent Malus Law and S = 2.0000 in Event-Based Local Models

Wesley Campos
preprint en

Abstract

This document consolidates a family of deterministic, event-based local models, built by directed evolution across generations, that reaches the local CHSH ceiling (S = 2.0000, certified with two independent seeds at 10 million events) while simultaneously maintaining: full acceptance (every generated event is counted — no detection loophole), an emergent Malus law (the cos² is born from the coupling rules, verified by ablation), the complete closed form of the sixteen base functions (eight + eight quadrature sisters), and a closed form for the correlation curve itself, E(a,b), obtained in a blind audit by an independent analyst and verified against the certified gates to four decimal places. This work does NOT claim a violation of Bell's theorem: it documents the local boundary from the inside, with the arithmetic proof of the ceiling reproduced within the model's own enumeration and generalized by an algebraic seal independent of the function family. The contribution is cartographic: what the local class can reach, by which mechanisms, at what prices. The package includes the full paper (English and Portuguese versions), the runnable simulator (curvas.py, MIT license), and the certified run output (N = 10⁶ per point) with complete provenance.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Theoretical and Computational Physics
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An Executable Cartography of the Local Boundary: Emergent Malus Law and S = 2.0000 in Event-Based Local Models — Wesley Campos · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS