Geothermal Heat Flow Against Absorbed Sunlight and Its Negligible Role in Surface Climate Energy

This paper computes, from stated assumptions and published representative values, the quantity at the heart of the following question: how small Earth's internal heat flow near 47 TW is beside absorbed solar power, quantified rather than asserted. The headline computed values are: geothermal TW = 47, mean flux W m2 = 0.0921, absorbed solar TW = 1.22e+05, ratio geo to solar = 0.000384, equivalent warming K = 0.0245. The approach is ratio, mean flux, equivalent temperature perturbation via Stefan-Boltzmann derivative, carried through in full in the deposited computation script so that every number in the text can be reproduced directly. The computed values are compared with published Earth-observation values for the same quantities; where the two agree within the spread of the published ranges, that agreement is reported, and where they differ, the size and direction of the difference are stated plainly rather than smoothed over. The study is a computation from stated assumptions, not a new measurement, and its results should be cited as computed values. The main finding is that the arithmetic closes: the observed state of this part of the Earth system is consistent with the energy and mass accounting that elementary physical relations require, at the precision the published inputs support.