This is a follow up of this post recalling the Faustian deal made by Max Planck in 1900 when presenting his law of black body radiation as an icon of modern physics named Planck's Law.
Continuing the discussion with chatGPT we come to an agreement that temperature difference, positive or negative, is Natures control mechanism to keep a system stable over time under radiative heat transfer with an environment, like your house and the Earth's climate system. The temperature is measured on an absolute Kelvin scale available to all bodies allowing detection of positive or negative temperature difference to steer the exchange of heat energy. Equal temperature then gives zero exchange as radiative equilibrium.
Unfortunately there is a different view sold by climate scientists as reason for climate alarm, which suggests the opposite control mechanism, namely that the temperature of the Earth is controled by differences in incoming and outgoing radiation with in particular small differences in incoming/outgoing radiation generating big differences in temperature possibly in a run-away greenhouse effect. Very alarming.
But physical bodies do not carry an absolute scale allowing comparison of incoming and outgoing radiation, like the absolute scale for temperature, more precisely they carry no counter for incoming and outgoing photons as proclaimed carriers of heat energy.
In particular, there is no absolute Planck-Stefan-Boltzmann Law $R=\sigma T^4$ stating outgoing radiation from a body of temperature $T$ independent of environment as version 1. in the earlier post. Not physics!
Nevertheless such a law is used in models (Schwarzschild) of radiative heat transfer in the atmosphere playing with gross quantities of incoming/outgoing radiative heat transfer prone to instability. The accuracy of these models is no better than say $2-3$ Watts per m2, while alarming global heating is connected to variations of incoming/outgoing radiation of the same size. The result is alarm as a result of unphysical unstable control. This is like a hen from a feather.
If temperature is allowed to carry out its physical control to stabilise climate, here is no reason for alarm. Puh!
This analysis shows that temperature is measured via Wien's Displacement Law expressed as a high-frequency-cut-off scaling with temperature giving a body of higher temperature access to higher-frequencies aloowing transfer of heat to a body of lower temperature. The cut-off can be connected to the precision available in the underlying atomic wave physics of different frequencies.
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