Issue #32 ~ I’d like to tell you something you might find surprising (I did) and it’s all about things in classical physics that happen to be analogous to some of the concepts frequently thought to be strictly quantum mechanical. In order to fully appreciate the title, I’d like to claim, more specifically, that Newton was the originator of the first hidden variable theory in physics and that the concept ofdecoherence was discovered by the French physicist Fresnel.
The geometric duality between particles as rays, and Huyghens principle wavefronts as tangent envelopes of circles/spheres can be expressed as a correlation transform in projective geometry. I wonder if this relates to the Legendre transform between Lagrangian and Hamiltonian formulations of mechanics?
The geometric duality between particles as rays, and Huyghens principle wavefronts as tangent envelopes of circles/spheres can be expressed as a correlation transform in projective geometry. I wonder if this relates to the Legendre transform between Lagrangian and Hamiltonian formulations of mechanics?