Particle Spectrum

Pre-temporal worldlines possess no mass, charge, or spin. These emerge **only** upon intersection with $\Sigma$. The angle $\theta$ determines everything: grazing strikes ($\approx 90^\circ$) yield massless photons; shallow strikes ($30^\circ$–$60^\circ$) yield dark matter; perpendicular strikes ($\approx 0^\circ$) yield standard model particles. Quantization arises from timeline resonance: only angles satisfying $\Delta\Phi = 2\pi k$ form stable states.

Technical Details

Topological winding number $n \in \mathbb{Z}$ quantizes charge ($Q = ne/3$). Intermediate angles are metastable and decay within $\tau < 10^{-20}$ s, preventing a continuous particle zoo. Dark matter occupies a stable shallow band where $\Gamma_{\text{time}} \approx 0$, removing the decay channel.