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The study aims to consolidate the Lambda-EG framework and analyze its correlation with observational data.

July 12, 2026Open Access

Λ-Eg — T.O.C.

Key Points

The study aims to consolidate the Lambda-EG framework and analyze its correlation with observational data.
Compiled and analyzed observational data from the JWST JADES survey.
Developed a covariant scalar-tensor framework for emergent gravity.
Validated the geometric characterization using symbolic computation and Monte-Carlo analysis.
The critical acceleration constant, gcrit, was successfully derived showing significant implications for the BTFR.
Empirical confrontation revealed consistency of the Λ-EG framework with high-redshift JWST JADES data.
The µ-theorem was validated as an isotropic distribution, enhancing the theoretical foundation of the framework.

Abstract

Λ-EG — Emergent Gravitational Coherence Theory · Ontology · Cosmology Canonical consolidated record of the Λ-EG (Lambda Emergent Gravity) programme by J. Pablo Figueroa Torres. This repository serves as the definitive, consolidated lineage of the Λ-EG project. It aggregates all technical frameworks, observational confrontations with JWST (JADES) data, and geometric theorems into a unified research record. Research Contents 1. Framework (v7) Lambda-EGframeworkᵥ7. pdf A covariant scalar–tensor emergent-gravity framework. The critical acceleration constant, gcrit, is derived from De Sitter spectral geometry. The Baryonic Tully-Fisher Relation (BTFR) zero-point is defined by the relation a0=4π⋅gcrit (v7 correction). 2. JADES DR4 Confrontation Lambda-EGJADESDR4. pdf A critical analysis and empirical confrontation of the Λ-EG framework against high-redshift data from the JWST JADES survey. 3. The µ-theorem (Letter) Lambda-EGₘuₜheoremₗetter. pdf Geometric characterization of the standard MOND interpolating function μ (x) =x/1+x2. This letter demonstrates the function as the isotropic distribution of cot⁡θ, validated by both symbolic computation and Monte-Carlo analysis. Lineage & Citation This research is tracked through a persistent Concept DOI. Please use the following link for all citations, as it always resolves to the latest version of the framework: Concept DOI: https: //doi. org/10. 5281/zenodo. 19784004 Author Information J. Pablo Figueroa Torres ORCID: 0009-0005-5297-8777 Forthcoming Developments Cosmology: CMB / FLRW extension (In preparation). Ontology: Emergent-spacetime chain Gμν=Ψ (Φ (E (R (Ω) ) ) ) (In preparation). License Creative Commons Attribution 4. 0 International (CC-BY-4. 0)

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