Some Possible Roles for Topos Theory in Quantum Theory and Quantum Gravity

Foundations of Physics 30 (10):1707-1735 (2000)

Abstract

We discuss some ways in which topos theory (a branch of category theory) can be applied to interpretative problems in quantum theory and quantum gravity. In Sec.1, we introduce these problems. In Sec.2, we introduce topos theory, especially the idea of a topos of presheaves. In Sec.3, we discuss several possible applications of topos theory to the problems in Sec.1. In Sec.4, we draw some conclusions

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Citations of this work

Between Classical and Quantum.Nicolaas P. Landsman - 2007 - Handbook of the Philosophy of Science 2:417--553.
Symmetry and Evolution in Quantum Gravity.Sean Gryb & Karim Thébaault - 2014 - Foundations of Physics 44 (3):305-348.
Collimation Processes in Quantum Mechanics Interpreted in Quantum Real Numbers.John Vincent Corbett & Thomas Durt - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (1):68-83.

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