The Cosmic Fingerprint Beneath Smooth Cosmology

This paper reframes the empirical search for fractal cosmology from homogeneous background averages to map-level residual morphology. Earlier tests asked whether a minimal Fractal Consistency Law (FCL/LCF) correction changes distances, expansion, growth, or one-dimensional residual sequences. The present work asks a subtler question: after the smooth ΛCDM/FLRW description and standard null families have been accounted for, does the angular residual field retain a statistically organized syntax? In plain terms, the strategy changes from measuring the average speed of the cosmic vehicle to examining whether its gravitational chassis carries a distinctive fingerprint. The analysis uses Planck PR4-like CMB-lensing convergence products represented as HEALPix maps and evaluates a residual angular field at NSIDE 64, 128, and 256. The empirical target is not a direct image of a hidden substrate. It is an indirect, map-level observable: the angular morphology of residual convergence after standard smoothing, masking, harmonic reconstruction, and null testing. This is motivated by the FCL hypothesis of a protected fractal texture: a pre- or sub-geometric organization that may remain largely invisible to background averages while leaving residual, multiscale, and non-Gaussian signatures in curvature-sensitive maps. The final detector, v6, avoids saturating scores and evaluates an eight-dimensional raw metric vector: angular-spectrum slope, multiscale persistence, hemispherical asymmetry, box-counting dimension, skewness, kurtosis, mean absolute residual, and two-sigma tail fraction. The observed metric vector is compared against phase-randomized, Gaussian-Cl, and rotation null families using shrinkage-regularized Mahalanobis distance. In the Nnull = 500 robustness run, the hostile final p-value reached the empirical floor pfinal = 1/(500+1) = 0.001996 at NSIDE 64, 128, and 256, and the result survived leave-one-metric-out ablations. Conceptually, the paper develops a cautious cosmogonic interpretation of the result. Under the FCL, protected texture is not introduced as ordinary matter or a new fluid. It is a proposed residual organization of the admissible substrate, connected to a non-zero residuality floor, a Principle of Minimum Inconsistency, and an update-rate view of gravitational response. In this reading, CMB lensing convergence is valuable because it samples the integrated gravitational potential; if the potential carries a trace of update-rate heterogeneity, angular residual syntax becomes a plausible indirect search channel. The claim remains deliberately limited. The results do not prove the Fractal Consistency Law, do not invalidate general relativity, and do not by themselves eliminate dark matter, dark energy, inflation, or ΛCDM. They show that, for the residual map, mask, metrics, and null families tested here, the observed angular field is a robust multivariate outlier. The paper therefore classifies the result as robust preliminary angular evidence for a protected-texture search channel, not as final discovery.