Beyond Planck: The GM-Scale as the True Fabric of the Cosmos

This document presents a comprehensive validation of the GM (Grace Model) scale model defined by the quantum mesh length ℓGM=10−51\ell_{\text{GM}} = 10^{-51}ℓGM=10−51 m, as formulated within the D10Z paradigm. It systematically contrasts the GM model with the ΛCDM cosmological standard model, offering a robust alternative grounded in resonant nodal mechanics and fractal spacetime structure. Key discrepancies in cosmic expansion, dark energy, and structure formation are addressed without invoking arbitrary parameters, instead using the foundational D10Z law F=f⋅v(Zn)F = f \cdot v(Z_n)F=f⋅v(Zn). The paper includes empirical comparisons using datasets from SDSS, JWST, Planck, and DESI, showing that the GM model achieves higher coherence (R² > 0.9991) across redshift-dependent phenomena. The GM scale replaces the Planck length as the true geometric and energetic base of reality, enabling a rederivation of constants, wave behavior, and cosmological observables from first principles. Keywords:GM Scale, 10−5110^{-51}10−51 m, D10Z Mechanics, ΛCDM Critique, Spiderweb Fabric, TTAϵ, Resonant Expansion, Cosmological Coherence, f·v(Zₙ), Quantum Geometry I recommend downloading this version also since it is very complementary : https://zenodo.org/records/15240728 I recommend downloading this version also since it is very complementary : https://zenodo.org/records/15240728 I recommend downloading this version also since it is very complementary : https://zenodo.org/records/15240728 I recommend downloading this version also since it is very complementary : https://zenodo.org/records/15240728 I recommend downloading this version also since it is very complementary : https://zenodo.org/records/15240728