ViewMaps and calibration in the SIunits package

Abstract

The SIunits package allows for the use of world views other than the standard (std) view of dimensional quantities length, time, mass, current, temperature, and so forth. A commonly used world view says ''we work in units where c = 1,'' for example. The package must do the work to support that new relativistic world view. In this note, I want to provide concrete answers to several questions: What set of statements defines a world view; What does the SIunits Package need to know to be able to support each world view; How does this information appear in the files implementing SIunits; How can this information be derived from the defining statements, in the general case; and What facility is placed into the SIunits package to derive the needed information? An earlier document, ''World-Views in the SIunits Package,'' addressed these issues, but in the context of the needs of the earlier version of SIunits. As a starting point, let me describe the std world view as having N{sub d} dimensioned units labeled f{sub {alpha}}. Thus f{sub 1} is a meter, f{sub 2} a kilogram, f{sub 3} a second, and so forth. N{sub d} is seven but that is moot; weremore » we to eliminate Luminosity and/or Amount of Substance, for instance, the arguments in this note would remain unchanged. And in fact for the purposes of this document we will eliminate those two, to keep any matrices displayed to a reasonable size.« less