What question did this study set out to answer?

The aim is to justify the integer exponent 18 in the context of coherence leakage as it relates to Projective Dynamic Logo.

February 12, 2026Open Access

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

Puntos clave

The aim is to justify the integer exponent 18 in the context of coherence leakage as it relates to Projective Dynamic Logo.
Interpreted coherence leakage ε as a local combinatorial defect at the proton level.
Organized the leakage propagation through three organizational scales: proton architecture, nuclear structure, and ordinary matter.
Identified 18 independent coherence filters that constrain the manifestation of leakage.
Demonstrated that each organizational scale contributes distinct constraints to coherence leakage.
Clarified the structural counting scheme that supports the choice of the exponent 18.

Resumen

This note presents a minimal justification of the integer exponent 18 that appears in the hierarchical amplification of the coherence – leakage parameter in the Projective Dynamic Logo (PDL). We interpret εε 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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