It is written that the earth shall be invaded by hordes of fat men wearing Bermuda shorts and loud Hawaiian shirts. These fat men venture throughout the Galaxy in search especially greasy Fast Food.
Their home planet is completely flat and is always facing its Sun. When they wish to sleep they put movie magazines over their faces and recline in folding aluminum lawn chairs. Their planet is deficient in Fast Food, and this is why they periodically swarm into their flying saucers and attack planets like Earth where greasy high-sodium food is more abundant. This invasion is predicted in the prophetic writings of the Planckian Visionary Pinkwater.
The power of sunlight on a square pace of the Fat Man Planet is 3 ponies (you are doubtless familiar with the halfhorsepower "pony" unit of approximately 360 watts.) What is the temperature at the ground?
Answer: Whatever T is, if you square twice and multiply by pi2 over 60, you must get 3 ponies per sq. pace. Because the planet surface has to be radiating energy away as fast as it is coming in with sunlight. The heat glow power out has to equal the 3 pony per sq.pace sunlight power coming in, for equilibrium. But that is easy! Temp of planet surface has to be 2.07 grade which is familiar to us as room temperature! Because if you square 2.07 twice and multiply by pi2/60 you get 3. The fat men live outdoors, on beach blankets and folding chairs, because the temperature is always a comfortable 2.07. It is not known how they reproduce, but there are a lot of them. Enough to consume all Earth's frenchfries in less than 48 hours.
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The fourth-power radiation constant relates WARMTH to GLOW:
The warmer things are the more brightly they shine with (usually invisible) heat radiance. In talent-mile you take the temperature—eg 3 grade, which is baking oven temp—square twice and divide by six (in this case 81 × 1/6 = 13.5) and that is the ponies of power radiated per sq. pace.
It's December and the temp outside is 283 kelvin (10 celsius). Even though they are cold the flagstones of the garden terrace are glowing with invisible heat radiance. How brightly? Their temp is 2 grade. Square 2 twice to get 16, and divide by 6 to get 2.7 ponies per square pace. It may surprise you, if you convert that to watts (a pony is 360 watts), how many watts of infrared even cold things radiate.
The exact constant is (pi2/60)k4/hbar3 c2. In talent-mile the constants k,hbar,c have exact power-of-ten values so that the radiation law constant is exactly pi2/60 ponies per sq.pace per quartic grade. The pi2/60 number that shows up in the formula is approx 1/6 so we can square temp twice and divide by six and get a close approximation to the answer.
RADIATION LAW COEFFICIENT TURNS OUT TO BE A MESS IN METRIC. To find the metric value of the radiation constant from the (pi2/60)k4/hbar3 c2 formula , one must square c, that is square 299792458 meter/second. And one must cube hbar, that is cube 1.05457...× 10-34 joule second. And one must raise k, that is 1.38065...× 10-23 joule/kelvin, to the fourth power, and after a lot of calculation one gets 5.6704...× 10-8 watts per sq.meter per quartic kelvin. Metric makes something inherently beautiful rather off-putting because of the obnoxious arithmetic.