Release Overview This dataset provides a comprehensive visual and quantitative summary of theΛ-Emergent Gravity (Λ-EG) framework. It includes 18 high-resolution figures spanningfoundational quantum derivations in De Sitter spacetime, galactic rotation curve analysisusing the SPARC catalog, and cosmological predictions applied to deep-field JWSTphotometric data. This release develops and quantitatively tests a parameter-free alternative to thestandard ΛCDM dark matter paradigm across galactic and cosmological scales, bridgingtheoretical first principles with predictions testable by current and near-futureinstrumentation. Key highlights • High-redshift BTFR forecast (Figs. 6, 9, 16, 17): Parameter-free prediction V ∝H (z) ¹⁄⁴ applied to 2, 850 JADES DR4 galaxies (z ≤ 8). Figures show predicted velocitydistributions as targets for kinematic follow-up. Observational validation requires R ≳1000 spectroscopy (ELT/HARMONI, JWST/NIRSpec G235M). • Parameter-free derivation of gcrit (Figs. 1–5, 14, 18): Three independentgeometric routes converge to gcrit = cH₀/ (4π²√3) = 9. 577 × 10⁻¹² m s⁻² with zero freeparameters. • Kinematic viability and structure formation (Figs. 7, 8, 13): Chameleonscreening, strict acoustic causality (c²ₛ = 1/2), and a mini-model prediction of P (k) amplification below ~100 Mpc testable with DESI/Euclid. • SPARC catalog analysis (Figs. 10–12): Distribution of effective acrit across theSPARC sample; spectral discriminant R (R) isolates galaxies in the collective regime. • Cluster lensing prediction (Fig. 15): Predictive scaling Δx ∝ σv for mergingclusters, qualitatively consistent with the Bullet Cluster. Quantitative validation requiresa larger cluster sample.
J. Pablo Figueroa (Sun,) studied this question.