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Falsification Of The Atmospheric CO2 Greenhouse Effects Within ...

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<strong>Falsification</strong> <strong>Of</strong> <strong>The</strong> <strong>Atmospheric</strong> CO 2 <strong>Greenhouse</strong> <strong>Effects</strong> . . . 21<br />

• <strong>The</strong> constant σ appearing in the T 4 law is not a universal constant of physics. It strongly<br />

depends on the particular geometry of the problem considered. 8<br />

• <strong>The</strong> T 4 -law will no longer hold if one integrates only over a filtered spectrum, appropriate<br />

to real world situations. This is illustrated in Figure 4 .<br />

Figure 4: Black body radiation compared to the radiation of a sample coloured body. <strong>The</strong><br />

non-universal constant σ is normalized in such a way that both curves coincide at T = 290 K.<br />

<strong>The</strong> Stefan-Boltzmann T 4 law does no longer hold in the latter case, where only two bands<br />

are integrated over, namely that of visible light and of infrared radiation from 3 µm to 5 µm,<br />

giving rise to a steeper curve.<br />

Many pseudo-explanations in the context of global climatology are already falsified by these<br />

three fundamental observations of mathematical physics.<br />

2.2 <strong>The</strong> Sun as a black body radiator<br />

<strong>The</strong> Kirchhoff-Planck function describes an ideal black body radiator. For matter of convenience<br />

one may define<br />

B sunshine<br />

λ<br />

= B Sun<br />

λ ·<br />

R 2 Sun<br />

R 2 Earth’s orbit<br />

= B Sun 1<br />

λ ·<br />

(29)<br />

(215) 2<br />

Figure 5 shows the spectrum of the sunlight, assuming the Sun is a black body of temperature<br />

T = 5780 K.<br />

8 For instance, to compute the radiative transfer in a multi-layer setup, the correct point of departure is<br />

the infinitesimal expression for the radiation intensity, not an integrated Stefan-Boltzmann expression already<br />

computed for an entirely different situation.

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