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

This paper presents the Timeless Quanta (TQ) framework, a novel theoretical model proposing that mass, entropy, and the direction of time emerge from a universal curvature threshold (Θc\Theta_cΘc) in spacetime. The framework models quantized collapse shells with a hybrid Gaussian-exponential profile, calibrated solely to the proton mass (rc=0.423 fmr_c = 0.423 \, \mathrm{fm}rc=0.423fm, refined to 0.447 fm0.447 \, \mathrm{fm}0.447fm), to derive a wide range of physical phenomena without additional parameters. Key predictions include the proton mass (0.04% accuracy), Higgs boson mass (125 GeV), lepton anomalous moments, neutrino mass scales, baryon asymmetry (ηB≈6.1×10−10\eta_B \approx 6.1 \times 10^{-10}ηB≈6.1×10−10), and heavy-ion collision entropy, all consistent with experimental data.

This updated version (October 2025) incorporates significant refinements: enhanced mathematical derivations for the geometric CP-suppression factor (ϵgeom∼10−8\epsilon_{\text{geom}} \sim 10^{-8}ϵgeom∼10−8), clarified terminology to address "hidden parameters" critiques, and four pre-data predictions for ALICE Run 3 oxygen-oxygen collisions, publicly archived on July 1, 2025 (see \cite{Rouse2025CERN}). The document has been polished for publication, with corrected LaTeX formatting, updated references, and improved readability. All derivations are provided in the appendices, ensuring reproducibility.