Metaphysical deductions and assumptions in quantum and classical physics

          @misc{ scivideos_PIRSA:08020037,
            doi = {10.48660/08020037},
            url = {https://pirsa.org/08020037},
            author = {Porta Mana, PierGianLuca},
            keywords = {Quantum Information},
            language = {en},
            title = {Metaphysical deductions and assumptions in quantum and classical physics},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2008},
            month = {feb},
            note = {PIRSA:08020037 see, \url{https://scivideos.org/index.php/pirsa/08020037}}
          }
          

Abstract

I should like to show how particular mathematical properties can limit our metaphysical choices, by discussing old and new theorems within the statistical-model framework of Mielnik, Foulis & Randall, and Holevo, and what these theorems have to say about possible metaphysical models of quantum mechanics. Time permitting, I should also like to show how metaphysical assumptions lead to particular mathematical choices, by discussing how the assumption of space as a relational concept leads to a not widely known frame-invariant formulation of classical point-particle mechanics by Föppl and Zanstra, and related research topics in continuum mechanics and general relativity.