Two-Way Transfer of Heat as OLR/DLR Violates the 2nd Law

In a sequence of posts on radiative heat transfer between two bodies of different temperature, I have compared two views with deep historical roots:

1. One-way transfer from hot body to cold body (Pictet)
2. Two-way transfer with net transfer from hot to cold (Prevost),

where 2. is used to support CO2 alarmism in the form of DLR/backradiation.

1. satisfies the 2nd law of thermodynamics, but what about 2.?

Well, two-way transfer is commonly viewed as two opposite streams of photons, which are not considered to interfere with each other, and thus must viewed to be independent. But this means that one of these independent streams of photons concerns transfer from cold to hot and thus violates the 2nd law.

This is a simple argument showing that the mantra of DLR/backradiation lacks rationale, by violating the 2nd law.

The argument can be dressed up in more precise mathematical form, as shown in Computational Thermodynamics and Mathematical Physics of Blackbody Radiation.