Residual leakage is not heat

The quantity ${\delta }_{\mathrm{full}}(\mathcal{C})$ is dimensionless and compares complete referenced channels. It has no temperature, Hamiltonian, time scale, or work-storage convention in its definition.

The next proposition restates the featureless-radiation bound recorded in Hawk04-A CheungHawk04A (prop:thermal). The word “thermal” in that source label does not supply a temperature to this channel inequality.