Fundamentals

UPDATED Apr 25 – There’s a famous story about Asimov that relates to Imaginary Numbers and One.  Asimov and a professor are debating the value of a piece of chalk that the professor breaks into two pieces.  The professor states that the piece Asimov holds in his hand is half a piece of chalk, while Asimov declares that it is still one piece of chalk.  This philosophical short story recognizes a fundamental division within the Real Number system.

In PM, Pi is synonymous with One and 2Pi (Tau) is synonymous with Zero – there are no imaginary numbers and in fact there are no standard units beyond Pi.  In the case of Asimov’s chalk story, the intact chalk would be considered a ‘Pi’ unit of chalk, and each broken piece of chalk would also be considered a Pi unit.  Scalability becomes a radically different concept when the current paradigm relies on orders of magnitude via Base-10 for things such as the physical constants (consider standard unit measurements and the micro/macro scales).

Demonstrating precisely how PM integrates imaginary numbers is a key step in converting Classical Mechanics (CM) to the language’s notation.