Introduction to D10Z Mathematics: A Vigesimal Framework for Quantum and Cosmic Phenomena

Introduction to D10Z Mathematics establishes a novel mathematical framework integrating the Mayan vigesimal system with quantum mechanics and cosmology, aligned with the GM10-51 model. GM10-51 defines the fundamental scale Zn=10−51 mZ_n = 10^{-51} \, \text{m}Zn=10−51m, where cosmic filaments form a "Flower of Life" geometry, validated by DESI, JWST, and ALMA data (R2>0.97R^2 > 0.97R2>0.97). This framework uses fractal proportions (ϕ=1.618\phi = 1.618ϕ=1.618) to model superposition, entanglement, and resonances across 73 orders of magnitude (from 10−51 m10^{-51} \, \text{m}10−51m to 1022 m10^{22} \, \text{m}1022m). Applications include quantum cryptography (e.g., generating keys like K128=2,560K_{128} = 2,560K128=2,560) and energy network optimization, offering a unified approach to multidimensional phenomena.