Hierarchical Filtering of Coherence Leakage and Justification of the Exponent 18 in PDL

This note presents a minimal justification of the integer exponent 18 that appears in the hierarchical amplification of the coherence – leakage parameter \varepsilon in the Projective Dynamic Logo (PDL). We interpret ε\varepsilonε as a local combinatorial defect of closure at the proton level and organise the propagation of this leakage through three successive organisational scales: proton architecture, nuclear structure, and ordinary matter with an emergent metric regime. Each scale contributes a finite set of independent coherence filters, yielding a total of 18 logically distinct constraints that any leakage must satisfy before it can manifest as a universal effective gravitational coupling. The goal is not to provide a full combinatorial proof, but to make explicit the structural counting scheme that underlies the choice of the exponent 18.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-10
DOI
https://doi.org/10.5281/zenodo.18581806
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
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article

Hierarchical Filtering of Coherence Leakage and Justification of the Exponent 18 in PDL

Cédric Laubscher
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

Hierarchical Filtering of Coherence Leakage and Justification of the Exponent 18 in PDL

Cédric Laubscher
article en

Abstract

This note presents a minimal justification of the integer exponent 18 that appears in the hierarchical amplification of the coherence – leakage parameter \varepsilon in the Projective Dynamic Logo (PDL). We interpret ε\varepsilonε as a local combinatorial defect of closure at the proton level and organise the propagation of this leakage through three successive organisational scales: proton architecture, nuclear structure, and ordinary matter with an emergent metric regime. Each scale contributes a finite set of independent coherence filters, yielding a total of 18 logically distinct constraints that any leakage must satisfy before it can manifest as a universal effective gravitational coupling. The goal is not to provide a full combinatorial proof, but to make explicit the structural counting scheme that underlies the choice of the exponent 18.

Zenodo (CERN European Organization for Nuclear Research)
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