Why engineering laws have been irrational for more than 70 years, and rational laws to replace them

Abstract

This article describes why conventional engineering laws have been irrational since sometime before 1951, and presents rational laws to replace them. Conventional engineering laws are irrational because they are based on the assumption that dimensions can rationally be assigned to numbers. In 1951, a text on dimension analysis notes that dimensions cannot rationally be assigned to numbers. Therefore conventional engineering laws are irrational. Rational laws determined by induction are presented in the text.