The Emissivity of Nations (was Re: Education and Web Development)

I need some help from Physicists.

I think I've got the reason Governments are "special" pinned down, but I would like someone to verify my calculations.


If you were to place two identical (Lambertian [1]) "black box" radiation sources at the North Pole and the South Pole, Then observe them from orbit you would see a difference because the source at the South Pole is land, Nations, on a "background" of water.  Just the opposite for the North Pole.  The ISO 3166-1 Country Codes, UN/LOCODE Data base and US Customs all make a distinction between land with codes, and water (with or without codes).  The North Pole black box is mapping non-Governmental organizations (against the flow of time) and the South Pole is mapping Governments (with the flow of time).

This is important because:

1. The spectrum of black body radiation depends only on Absolute Temperature[2].  You can use Planck's Law[3] to integrate the curves.  The related Stefan-Boltzmann Law[4] and Wien's Displacement Law[5] enable you to write an expression for the Radiated Power per Unit Area.  This is a very important number, because it puts all Nations (and Local Governments or Subdivisions) and all Organizations on the same Energy scale (Joules), although the Entities are in Thermal Equilibrium (so do not appear distinguishable from the North Pole view, but are from the South Pole view).

2. Power is work per unit time, so the power per unit area can be converted to metered work, and, in the case of a Nation, integrated to GNP. For a Subdivision or Organization, contribution to GNP.

3. The units of the Stefan-Boltzmann Constant are (Joule/Sec Met^2 Kelvin^4).  To convert between Temperature and Time, it is only necessary to a) multiply by 2/2 and rearrange terms (Resonant Frequency of both a "Year" and a "Day" is 4pi/30). b) multiply by the two resonant factors: (sigma)*(365 days per year)*(24 hours per day).  For a Nation's GNP, use only the (365 days per year) - the South Pole Value.  For other Organizations, use both (365 Days per year and 24 hours per day), the North Pole Value.

So (P/A)gov = 365*5.670400 x 10^-8 Joule-Year-Day/(sec-meter^2-kelvin^4)
            = 365*sigma*T^4
            = (365/86400)*sigma*T^4 Joule-Year/(meter^2-kelvin^4)
            = Gross National Product * Emissivity
            = Work/(Time Area)


 --Gannon

[1] http://en.wikipedia.org/wiki/Lambert%27s_cosine_law
[2] http://en.wikipedia.org/wiki/Black_body
[3] http://en.wikipedia.org/wiki/Planck%27s_law
[4] http://en.wikipedia.org/wiki/Stefan-Boltzmann_law
[5] http://en.wikipedia.org/wiki/Wien%27s_displacement_law

Received on Monday, 31 January 2011 22:17:38 UTC