Well for example hilbert space exhibits orthogonality. Basically I am just thinking it seems like the formulation of any mathematical space inherently exhibits quantum mechanical problems of measurement. We make a space to fit a rule we find for some naturally occurring phenomena and suddenly...
I'm referring to the mathematical formulation of a relativistic field. Isn't it necessary for the field to have no properties without an object on it? Traditionally it seems like they all have some sort of mathematical properties that are their limits to describe things found on them.
Philosophically speaking is there a need for a relativistic field to have no properties without an object on it? It seems like all throughout the history of mathematics there have been fields designed to describe the dynamics of specific particles, but isn't that necessarily a limit to their...