ETCQ IV: Global consistency on strong lenses and galaxies Context
Year: 2025
Type: article
Abstract: This fourth volume of the ETCQ framework (Energy–Trame–Constant–Quantum) presents the complete field formulation underlying the previously empirical energetic model.The derived Lagrangian density couples a scalar field (χ) and a vector field (u), describing the compressive and rotational responses of the quantum lattice.Under quasi-stationary and axial symmetry, it reduces to coupled Helmholtz-type field equations, reproducing the observed V4-L law across the SPARC galaxy sample.The universal energetic slope $p_0 ≃ 0.60$ and the temporal coherence factor $χ_c ≃ 0.58$ emerge naturally from the same α-bounded dynamics, where $\alpha = 1/137$ defines the lattice rigidity.Without any local tuning, the model fits baryonic dynamics from planetary scales to galactic halos, and provides a physical interpretation of the Hubble-tension and AGN RM delays as manifestations of the local time-slowing induced by the lattice saturation.ETCQ-V4-L thus unifies gravitational, relativistic, and quantum regimes within a single α-saturated field framework
Author: lajoie, guillaume
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7086795783
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