Category Archives: Modern Physics

I would like to describe a most amazing result in math, computer science, logic and even philosophy (kind of a stretch there but..). Godel’s incompleteness theorem addresses the theory of natural numbers constructed from axioms. The results also apply to any equivalent theory and state that if, The axioms of the theory are consistent TheContinue reading “Godel’s (first) incompleteness theorem”

I would like to describe the powerful method of Langrange-Euler equation in classical physics as opposed to directly applying Newtons laws. It is inherently an energy formulation but the results contain a few nuances. In the Lagrange formulation, the energy used is not the total energy, rather the delta of forms of energy. Let TContinue reading “The Lagrange Formulation”