You did... when there is a nearby warmer body.
Place an ice cube in an environment warmer than itself...now show me a measurement of energy emitting from that ice cube...What does P equal.
Just tell me why the handbook would bother to mention the temperature of the surroundings when this is a handbook for scientists and engineers? Everybody knows that makes no difference when vibrating particles radiate! Even you should know the reason even though you disagree because you don't believe believe radiation physics. That is such a trollish post.
It does mention the temperature of the surroundings....it says explicitly that if the object is cooler than the array, that the energy flux is negative...that is energy is being lost by the array to the cooler object...and if the object is warmer than the array, then the energy flux is positive..that is, the array is gaining energy from the warmer object. How much more straight forward and plainly could they state what I have been saying all along?
>>>”Place an ice cube in an environment warmer than itself...now show me a measurement of energy emitting from that ice cube...”
Just curious, if you agree with the following statement about thermal radiation:
A vibrating particle is a source of an electromagnetic field which propagates outwardly with the speed of light and is governed by the laws of optics.
Do you think the ice cube particles are vibrating? If so, where does the electromagnetic field generated by the vibrating ice molecules propagate to?
And about the Handbook (your own source) specifically says the flux involves energy from the object to the sensor:
View attachment 186920
[A thermal sensor is capable of responding only to a net thermal flux (i.e., flux from the object minus flux
from itself).]