A Philosopher Looks at Non-Commutative Geometry

Abstract

This paper introduces some basic ideas and formalism of physics in non-commutative geometry. My goals are three-fold: first to introduce the basic formal and conceptual ideas of non-commutative geometry, and second to raise and address some philosophical questions about it. Third, more generally to illuminate the point that deriving spacetime from a more fundamental theory requires discovering new modes of `physically salient' derivation.

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Nick Huggett
University of Illinois, Chicago

Citations of this work

Points. Lack thereof.Fedele Lizzi - 2019 - Philosophical Problems in Science 66:35-60.

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References found in this work

What price spacetime substantivalism? The hole story.John Earman & John Norton - 1987 - British Journal for the Philosophy of Science 38 (4):515-525.
Space and Time in Particle and Field Physics.Dennis Dieks - 2001 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 32 (2):217-241.
Spacetime Visualisation and the Intelligibility of Physical Theories.Henk W. de Regt - 2001 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 32 (2):243-265.

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