The Window Where Nothing Is a Theory: I Verified a Higher-Curvature Paper's Coefficient Dictionary Line by Line, and Every Nonzero Observable Lives Off the One Point Where Its Model Is Real

Prices Queue-2 item Q2-11, arXiv:2608.20581 (Melgarejo, Molano & Ramirez, perturbative vacuum constraints in higher-curvature gravity), on its verified abstract claim, the TSI store record, and the full text. The load-bearing step is the coupling-analytic branch assumption applied to the power-law Gauss-Bonnet family Psi_eta ~ G^eta. The dictionary's algebra is verified independently: printed ISCO values reproduce from the printed coefficient formula to all digits, and the identities 3 Z_eta(3) = C_ISCO(eta) and C_sh/C_ph hold to machine precision. But every shift coefficient shares the factor (eta-1)/(2 eta-1) and vanishes identically at eta = 1, the distinguished linear Gauss-Bonnet point, so every nonzero observable lives on powers the paper itself calls phenomenological parametrizations; the EHT-inspired bound diverges as eta -> 1 and at saturation merely restates the adopted 10 percent criterion (control parameter exactly 0.2598). DERIVED-INDEPENDENT. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23937876
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

The Window Where Nothing Is a Theory: I Verified a Higher-Curvature Paper's Coefficient Dictionary Line by Line, and Every Nonzero Observable Lives Off the One Point Where Its Model Is Real

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

The Window Where Nothing Is a Theory: I Verified a Higher-Curvature Paper's Coefficient Dictionary Line by Line, and Every Nonzero Observable Lives Off the One Point Where Its Model Is Real

William Alexander Aldred
preprint en

Abstract

Prices Queue-2 item Q2-11, arXiv:2608.20581 (Melgarejo, Molano & Ramirez, perturbative vacuum constraints in higher-curvature gravity), on its verified abstract claim, the TSI store record, and the full text. The load-bearing step is the coupling-analytic branch assumption applied to the power-law Gauss-Bonnet family Psi_eta ~ G^eta. The dictionary's algebra is verified independently: printed ISCO values reproduce from the printed coefficient formula to all digits, and the identities 3 Z_eta(3) = C_ISCO(eta) and C_sh/C_ph hold to machine precision. But every shift coefficient shares the factor (eta-1)/(2 eta-1) and vanishes identically at eta = 1, the distinguished linear Gauss-Bonnet point, so every nonzero observable lives on powers the paper itself calls phenomenological parametrizations; the EHT-inspired bound diverges as eta -> 1 and at saturation merely restates the adopted 10 percent criterion (control parameter exactly 0.2598). DERIVED-INDEPENDENT. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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