Editing Openai/6897769e-4ee4-800f-aba5-69cca34f701c (section)

=== I kept the model simple and parameterized the uncertain parts: ===
* Event rate ν\nuν: scanned from 10610^{6}106 to 1020 s−110^{20}\,\mathrm{s^{-1}}1020s−1. - Rationale: atomic transition rates can be ~10⁶–10¹⁵ s⁻¹ for many processes; I extended range to explore extremes.
* Storage time τ\tauτ: scanned from 10−1510^{-15}10−15 s (attosecond scale) up to 10310^{3}103 s. - Rationale: τ\tauτ could be extremely short (an individual single-photon interaction) or represent effective persistence of stored energy in a shell (plasmas, macroscopic collective states).
* Spatial scale: used Bohr radius a0a_0a0 to set the characteristic event energy E0∼ℏc/a0E_0 \sim \hbar c / a_0E0∼ℏc/a0. This is a physically motivated choice but you can substitute proton radius, Planck length, etc., to test sensitivity.

I used cosmological baryon density as the number density of participating shells so we get a sense whether an aggregate of these events could match cosmic mass-energy budgets.