TL;DR – Statistical quantities (e.g. averages) and angles (e.g. direction of spin) are measurable quantities but are not associated with linear operators, eigenkets and eigenvalues. When studying quantum mechanics you learn about observables, how to each you associate a Hermitian operator, how the value is only defined on the eigenstates of that operator and how, …
TL;DR – Complex numbers should really be called rotation numbers. Whenever they are used in physics and engineering, some type of 2D vector and related rotation is lurking and begging to be understood. In the past posts we went through a lot of insights in classical mechanics and I want to start doing the same …
TL;DR – Statistics can only study correlations between populations and are blind to the effect on individuals. Since I moved to the United States of America, I have met people with very strong views about religion and science. One would say: “the bible says the world was created 10,000 years ago.” Another would say: “science …