No-signaling in topos formulation and a common ontological basis for classical and non-classical physical theories

• Authors: Marek Kuś
• Languages of publication: EN

Abstracts

EN

Starting from logical structures of classical and quantum mechanics we reconstruct the logic of so-called no-signaling theories, where the correlations among subsystems of a composite system are restricted only by a simplest form of causality forbidding an instantaneous communication. Although such theories are, as it seems, irrelevant for the description of physical reality, they are helpful in understanding the relevance of quantum mechanics. The logical structure of each theory has an epistemological flavor, as it is based on analysis of possible results of experiments. In this note we emphasize that not only logical structures of classical, quantum and no-signaling theory may be treated on the same ground but it is also possible to give to all of them a common ontological basis by constructing a “phase space” in all cases. In non-classical cases the phase space is not a set, as in classical theory, but a more general object obtained by means of category theory, but conceptually it plays the same role as the phase space in classical physics.

Keywords

EN

no-signalling; topos; quantum logic

• Publisher: Copernicus Center Press
• Journal: Zagadnienia Filozoficzne w Nauce
• Year: 2020
• Issue: 69
• Pages: 129-143

Dates

published

2020-12-29

Contributors

author

Marek Kuś

• Warsaw University of Technology, International Center for Formal Ontology

• https://orcid.org/0000-0002-2767-3251

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