D72e — Non-circular emergence of the gravitational constant from the fine-structure constant: the parity-leakage cascade α_G = [α(1+δ)]^18 and the sealed predictive architecture

This document (D72e of the PDL framework) consolidates the verification campaign v25–v54 of the D72 interface-asymmetry work package. It establishes that the fine-structure constant α and Newton's gravitational constant G are two expressions of a single mean boundary-leakage parameter ε, related by the cascade α_G = [α(1+δ)]^18, and that the long-standing circularity on G is broken by architecture: a sealed predictive pipeline deprived of any G input produces the frozen prediction G_pred = 6.6743264×10⁻¹¹ m³ kg⁻¹ s⁻², judged a posteriori by the external arbiter G_CODATA with agreement +3.96 ppm (+0.18σ). The document records the complete derivation chain (STRUCT → α⁻¹ = 137 + 33/917 → mixing fraction x = 7/12 via three independent geometric routes → δ = 3.0429555% → ε → α_G → G_pred), the register of 23 cleanly closed null gates with multiplicity controls, and the honest reservations: ~20% chance coincidence until the pre-registered falsifier (d_r = 0.04795969 and f = 0.157126, simultaneously) is closed; the missing radial dressing of the 918-site graph; the reading (not derivation) status of x = 7/12 and 1/133.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-01
DOI
https://doi.org/10.5281/zenodo.23853892
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

D72e — Non-circular emergence of the gravitational constant from the fine-structure constant: the parity-leakage cascade α_G = [α(1+δ)]^18 and the sealed predictive architecture

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

D72e — Non-circular emergence of the gravitational constant from the fine-structure constant: the parity-leakage cascade α_G = [α(1+δ)]^18 and the sealed predictive architecture

Cédric Laubscher
article en

Abstract

This document (D72e of the PDL framework) consolidates the verification campaign v25–v54 of the D72 interface-asymmetry work package. It establishes that the fine-structure constant α and Newton's gravitational constant G are two expressions of a single mean boundary-leakage parameter ε, related by the cascade α_G = [α(1+δ)]^18, and that the long-standing circularity on G is broken by architecture: a sealed predictive pipeline deprived of any G input produces the frozen prediction G_pred = 6.6743264×10⁻¹¹ m³ kg⁻¹ s⁻², judged a posteriori by the external arbiter G_CODATA with agreement +3.96 ppm (+0.18σ). The document records the complete derivation chain (STRUCT → α⁻¹ = 137 + 33/917 → mixing fraction x = 7/12 via three independent geometric routes → δ = 3.0429555% → ε → α_G → G_pred), the register of 23 cleanly closed null gates with multiplicity controls, and the honest reservations: ~20% chance coincidence until the pre-registered falsifier (d_r = 0.04795969 and f = 0.157126, simultaneously) is closed; the missing radial dressing of the 918-site graph; the reading (not derivation) status of x = 7/12 and 1/133.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 14%
Advanced Mathematical Theories 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.

Laika access coming soon
D72e — Non-circular emergence of the gravitational constant from the fine-structure constant: the parity-leakage cascade α_G = [α(1+δ)]^18 and the sealed predictive architecture — Cédric Laubscher · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS