Applications of S-Theory and Vacuum Boiling: Hawking Radiation and Novel Dark Matter Candidates

This paper presents the application of S-Theory combined with vacuum boiling theory to high-energy phenomena. We derive Hawking radiation near black hole horizons as a consequence of vacuum excitations within discrete shift dynamics and predict new dark matter candidates arising from semi-excited states. Analytical solutions for shift fields, particle production rates, energy spectra, and coupling with curvature are provided. This work offers a unified framework for exploring quantum gravity effects, vacuum particle creation, and potential dark matter production mechanisms.