Timeless Quanta: A Threshold for Mass, Entropy, and the Arrow of Time

This preprint introduces the Timeless Quanta (TQ) framework, a novel geometric model where mass, entropy, and the arrow of time emerge from a universal curvature condition. The framework posits that collapse occurs when Ricci curvature surpasses a critical threshold Θc, forming quantized shells with a hybrid Gaussian-exponential profile. Calibrated to the proton mass, the model predicts particle physics phenomena, including the Higgs mass at 125 GeV via curvature-overlap renormalization, lepton g−2, neutrino masses, baryon asymmetry, and heavy-ion collision entropy. Entropy follows a Bekenstein-Hawking-like law with an effective coupling Gs, yielding finite shell entropy consistent with experimental heavy-ion data. The Komar-corrected energy reproduces the proton mass to 0.06% accuracy. Grounded in a single geometric postulate and one empirical anchor (proton mass), TQ provides falsifiable predictions and reframes the direction of time as a geometric outcome of threshold activation.