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

=== - If both ν\nuν and τ\tauτ are small (short-lived, rare events), ρQAT\rho_{\rm QAT}ρQAT is many orders of magnitude below baryonic or critical density → negligible cosmological effect. ===
* To reach comparable densities to baryons or critical density you need either: - very high event rates per atom (extreme ν\nuν), or - very long effective storage times τ\tauτ (energy accumulates in shells for long durations), or - both.
* The heatmaps show the threshold combinations visually. You can read off which (ν,τ)(\nu,\tau)(ν,τ) pairs would make ρQAT\rho_{\rm QAT}ρQAT comparable to observed cosmic densities.

That tells you: with the Bohr-radius scale energy I used, ordinary atomic rates and short interaction times do not produce substantial mass-energy density on cosmic scales. To make a cosmological impact you'd need collective effects (plasmas, coherent states, huge event rates per particle, or a different per-event energy scale).