The Logos Categorical Approach to Quantum Mechanics: I. Kochen-Specker Contextuality and Global Intensive Valuations

DE RONDE, CHRISTIAN; CESAR MASSRI

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

SPRINGER/PLENUM PUBLISHERS

Lugar: New York; Año: 2021

0020-7748

In this paper we present a new categorical approach which attempts to provide an originalunderstanding of QM. Our logos categorical approach attempts to consider the main features ofthe quantum formalism as the standpoint to develop a conceptual representation that explainswhat the theory is really talking about ?rather than as problems that need to be bypassed inorder to allow a restoration of a classical ?common sense? understanding of what there is. Inparticular, we discuss a solution to Kochen-Specker contextuality through the generalization ofthe meaning of global valuation. This idea has been already addressed by the so called toposapproach to QM ?originally proposed by Isham, Butterfiled and Döring? in terms of sieve-valued valuations. The logos approach to QM presents a different solution in terms of the notionof intensive valuation. This new solution stresses an ontological (rather than epistemic) readingof the quantum formalism and the need to restore an objective (rather than classical) conceptualrepresentation and understanding of quantum physical reality.