The geometry of experience curves can be seen on youtube.

http://www.youtube.com/watch?v=3EW1DnJg1qY

A: For an Economy, like say the U.S. where we have variables Employed Men, Price,Volume,Wages,Investment,Scale of Operation, Production Process Mean Dimensions of Radius R with Number of space dimensions being used = m, Dollars, A Gross National Product, Specific Products and the change in time of these variables then:

For a change in Production of a Product with time the Behavior of Men is to Minimize their time/Per unit of Volume of the product, i.e. that ratio (dMen/dRadius with time)=0.

Using reduced values, or indexed values of these variables based on a given year for GNP, Price, Volume, etc. and the Fact that Dollars=Price*Volume=Wages*Men, and Volume=Radius^m gives a Slope for the Experienc Curve=(1/m-1)*(1-Exp(-k*t)) wherE k=growth rate constant for the product and t=time (usually years) .

Because “All Men involved minimize their time per unit of space dimension, with time”.  Thus this Law of Nature is claimed as Garnett’s Minimization Law

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Inherent in the foregoing is also the fact that Investment=Scale^(1/m).

The post titled “Money” shows the GNP or money=k*(employed)^4 and volume=k*(employed)^2.16 and

price=k*(employed)^1.84. In the context of these posts the number of dimensions of the production

facilities, m=2.16 and the price exponent is (4-m). Differenting by parts results is the fraction of the change

in GNP that is real growth is m/4 and the part that is inflation is (4-m)/4. The value of m therefore determines

the fraction that is inflation and real growth. The value of m determine the fraction that is real growth, namely;

m=1 results in 25% real growth,

m=2 results in 50% real growth

m=3 results in 75% real growth.

Obama’s and others “put people to work” with bail-out government money will not help the economy much if

the number of dimensions of  those activities is low (e.g. a shovel in hand ditch digger) vs. high

(like building a petrochemical plant).

the-geometry-of-experience-curves-aiche5-cut

Defines what an experience curve really is and why.