What is the objective face of a die?

          @misc{ scivideos_PIRSA:09030041,
            doi = {10.48660/09030041},
            url = {https://pirsa.org/09030041},
            author = {Catren, Gabriel},
            keywords = {Quantum Foundations},
            language = {en},
            title = {What is the objective face of a die?},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2009},
            month = {mar},
            note = {PIRSA:09030041 see, \url{https://scivideos.org/index.php/pirsa/09030041}}
          }
          

Abstract

Quantum foundations in the light of gauge theories We will present the conjecture according to which the fact that q and p cannot be both ``observables'' of the same quantum system indicates that there is a remnant universal symmetry acting on classical states. In order to unpack this claim we will generalize to unconstrained systems the gauge correspondence between properties defined by first-class constraints and gauge symmetries generated by these constraints. As we shall see, this means that the uncertainty principle might be encoded in the very definition of the canonical variables q and p. According to the ontology of quantum objects that stems from this analysis, the quantum-mechanical description of physical objects is complete.