The Linear Window Ends Before the Roots Merge: I Priced the Λr₀² ≪ 1 Assumption in a Perturbative Ellis–Bronnikov Wormhole, and Its Exact Root Formula Outruns Its Own Domain

Prices Queue-2 item Q2-06, arXiv:2605.08205 (Karmakar & Ge, perturbative Ellis-Bronnikov wormhole with Lambda > 0), on its verified abstract claim and the TSI store record. The load-bearing step is the linear-order assumption Lambda r0^2 << 1, priced against the deformed radial function's exact roots: at the inner throat the redshift deformation is 0.0223 at epsilon = 0.01, 0.1456 at 0.10, 0.3190 at 0.30 and the shape term alone is 0.5000 at the root-merger epsilon = 0.75, while the outer root never enters the stated domain r << sqrt(3/Lambda) (ratio 0.7071-0.9983). The trustworthy window closes around epsilon ~ 0.05-0.10, a factor of ten before the roots merge; the local near-throat claims survive inside it. INCREMENTAL. 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.23937778
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

The Linear Window Ends Before the Roots Merge: I Priced the Λr₀² ≪ 1 Assumption in a Perturbative Ellis–Bronnikov Wormhole, and Its Exact Root Formula Outruns Its Own Domain

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

The Linear Window Ends Before the Roots Merge: I Priced the Λr₀² ≪ 1 Assumption in a Perturbative Ellis–Bronnikov Wormhole, and Its Exact Root Formula Outruns Its Own Domain

William Alexander Aldred
preprint en

Abstract

Prices Queue-2 item Q2-06, arXiv:2605.08205 (Karmakar & Ge, perturbative Ellis-Bronnikov wormhole with Lambda > 0), on its verified abstract claim and the TSI store record. The load-bearing step is the linear-order assumption Lambda r0^2 << 1, priced against the deformed radial function's exact roots: at the inner throat the redshift deformation is 0.0223 at epsilon = 0.01, 0.1456 at 0.10, 0.3190 at 0.30 and the shape term alone is 0.5000 at the root-merger epsilon = 0.75, while the outer root never enters the stated domain r << sqrt(3/Lambda) (ratio 0.7071-0.9983). The trustworthy window closes around epsilon ~ 0.05-0.10, a factor of ten before the roots merge; the local near-throat claims survive inside it. INCREMENTAL. 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