A First-Principles Reformulation of Cosmological Structure Growth Under Nonlinear Time

This work develops a first-principles reformulation of cosmological structure growth as a continuation of the time-curvature and cosmo-holonomy framework, introducing nonlinear time within General Relativity by relaxing the implicit linear-time assumption in the Friedmann–Lemaître–Robertson–Walker metric framework. Gravitational dynamics remain unchanged, and the growth equation preserves its canonical structure in the true evolution variable, while its representation in observer time naturally acquires effective terms that resemble modifications often ascribed to altered gravity or damping effects. In this setting, quantities such as S8 and fσ8(z) are interpreted not as intrinsic inconsistencies but as projection-dependent results governed by the mapping between redshift and time along observational pathways. Both the suppression of structure at late epochs and early-universe phenomena—including the appearance of “impossible galaxies” seen by the James Webb Space Telescope—are traced to the same source: the reliance on a linear temporal interpretation within FLRW. Framed in this way, the approach delivers a coherent and testable account of growth tension and early structure formation without invoking additional physical ingredients, with predictions accessible to present and future surveys such as JWST, Euclid, DESI, and the Roman Space Telescope.