Paper11Early Galaxies under b Framework

The unexpectedly mature appearance of some high-redshift galaxies sharpens a basic questionin cosmology: can structure formation be advanced without spoiling the successful late-timebehavior of the standard model? The present paper develops that question inside the α-β-φframework. Starting from the base Lagrangian of the program, the visible action is variedstep by step to obtain modified Einstein equations and, after homogeneous reduction, modifiedFriedmann equations. The same structure is then carried into the growth sector through aneffective gravitational response Geff(a) controlled by the visible field φ and the filtered-vacuumarchitecture. A two-phase history is identified: an early enhancement of growth and a latecompensation regime that suppresses the accumulated excess. In the representative benchmarkused here, the model yields DB(z)/DΛCDM(z) ≈ 1.06 over z ≈ 8–15 while keeping the lateimprint near DB(a = 1)/DΛCDM(a = 1) ≈ 1.002. This is then translated into earlier halocollapse and a qualitative enhancement in the abundance of rare halos, providing a coherent routetoward early visible galaxies. The same framework remains explicitly connected to the Higgs andYukawa sectors through the common structural variable β, so that microphysical hierarchy andearly-universe structure remain parts of a single effective program. The observational discussionis updated to the JWST era, where spectroscopically confirmed galaxies at z ∼ 14 and theNASA Webb report on MoM-z14 reinforce the motivation for a controlled early-growth branch,while Planck 2018 continues to anchor the requirement that any such branch remain close to thestandard late-time cosmological limit.