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

==== 1. Quantify the QAT correction near realistic systems (lab cavities, cryo traps, stellar photospheres): pick measured spectra and densities → predict ϵ∼10−N\epsilon\sim 10^{-N}ϵ∼10−N. ====
# Noether current on the boundary (you asked for this and we started it): finish the conserved current derivation and tie it to an entropy production rate → direct link to the arrow of time.
# Plasma regime: Repeat the δR/R\delta R/RδR/R estimate with MHD-relevant Φ(ω)\Phi(\omega)Φ(ω), nen_ene, and line-dominated σeff\sigma_{\rm eff}σeff to see when the QAT correction could be largest (still a perturbation, but maybe observable in special astrophysical plasmas).
# Wave-mechanical experiment ideas: atom interferometers or cavity QED setups where you can deliberately vary the exterior photon occupation and look for an ultra-tiny, systematic tick-rate offset (a QAT-style “environmental time drag”).

If you want, I can write a short “lab-targeted” version of this (with concrete numbers for, say, a cryogenic optical cavity vs. room-temperature blackbody) to show just how small ϵ\epsilonϵ should be in each case—and that would give you a neat prediction to share.