Comment on Climate Studies: Where's the Ensemble?
Malcom W. P. Strandberg
Cambridge Massachusetts 02138 USA
First Edition started 11 March 2010
This Edition Updated, March 17, 2010
Date of this copy for review, March 18, 2010
It is useful to consider the foundation of a physical analysis for it
offers a measure of the limits of credibility of the analysis. Micro
physical systems are a selection of a small number of physical
properties for which an isomorphism can be realized. One then studies
this isomorphism to discover the properties that can be attributed to
the micro physical system that was visualized. The point of using the
micro physical system is that the isomorphism can be made to be a
logical system with a metric and an arithmetic. Newton's equations have
that structure with calculus being the arithmetic and the equations that
describe the possible transformations of the system by the arithmetic
serving as the metric. A logical structure has the property of closure.
This mean that no matter where or by whom a prediction about the system
is made for a logical system the result will be the same. Of course,
that property is valid only for the micro physical system. The
limitation on these benign properties is that the isomorphism is valid
only within the range of variables for which it was crafted. For
example, Newton's isomorphism is not valid for velocities of magnitude
larger than the those available to him.