The Akṣara Cosmosemantic Engine (ACE): A Unified Resonance Framework for Mass and Width Predictions Across 116 Hadrons and Exotics

The Akṣara Cosmosemantic Engine (ACE) offers a novel framework connecting Sanskrit phonetics with modern particle physics. It is founded on the principle that Sanskrit akṣaras—imperishable syllabic units—encode cosmic entropy and can be mapped onto particle properties such as mass and decay width. Two falsifiable laws are proposed: the mass ladder law, which aligns all hadronic and exotic states onto discrete steps separated by a fundamental scale κ = 26.06 MeV, and the entropy–width law, which predicts decay widths as a function of phonetic entropy tags.In this study, ACE is tested on an expanded dataset of 116 states drawn from the 2024/25 Particle Data Group (PDG), including conventional baryons and mesons, strange hyperons, charm and bottom hadrons, and exotics such as tetraquarks, pentaquarks, hexaquarks, and glueball/hybrid candidates. Results demonstrate remarkable regularities: the mass ladder reproduces observed spectra with root-mean-square errors (RMSE) ≤ 10 MeV across sectors, while the entropy–width law achieves R² = 0.89 with cross-validated CV R² = 0.72 ± 0.11. The entropy hierarchy α_V > α_S > α_D persists across all subsets, with synergy (S×V) and curvature (V²) terms statistically significant. Exotics conform to the same patterns, though entropy signals weaken for purely gluonic states.By unifying linguistic resonance with quantum observables, ACE provides a falsifiable, predictive theory that bridges Vedic cosmology and modern physics. The framework opens new directions for modeling bosons, neutrinos, and beyond-Standard-Model particles, while reaffirming the ancient Vedic insight that creation itself begins with sound.