The laws of physics are not to be democratic. They are not to satisfy opinions of majorities, but to rule imperially, regardless of our ignorance about their true forms. Intuitively enough, the laws of physics should be the same for everybody, regardless of where we are, when we are, or how we are. This was stated by Einstein in 1905 in his paper “On the Electrodynamics of Moving Bodies“, together with the claim that there is a maximum speed allowed in the universe, that of light.
What I’m about to tell you is not something new. These ideas have been around for many years already (since classical mechanics was still a thing). Moreover, I have been bothering my friends, students, teachers and some angry chemists with this for the last four or five years, ever since a student in San Luis Potosi made the mistake of saying the word “Hamiltonian” in front of me. This let another professor to reveal me one of the most guarded treasures for the physicist: the all-mighty Lagrangian.