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Space-time Constructivism vs. Modal Provincialism: Or, How Special Relativistic Theories Needn't Show Minkowski Chronogeometry

Pitts, J. Brian (2017) Space-time Constructivism vs. Modal Provincialism: Or, How Special Relativistic Theories Needn't Show Minkowski Chronogeometry. [Preprint]

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Abstract

Already in 1835 Lobachevski entertained the possibility of multiple (one might say "rival") geometries of the same type playing a role. This idea of rival geometries has reappeared from time to time (including Poincare' and several 20th century authors) but had yet to become a key idea in space-time philosophy prior to Brown's _Physical Relativity_. Such ideas are emphasized towards the end of Brown's book, which I suggest as the interpretive key. A crucial difference between Brown's constructivist approach to space-time theory and orthodox "space-time realism" pertains to modal scope. Constructivism takes a broad modal scope in applying (at least) to all local classical field theories---modal cosmopolitanism, one might say, including theories with multiple geometries. By contrast the orthodox view is modally provincial in assuming that there exists a _unique_ geometry, as the familiar theories (Newtonian gravity, Special Relativity, Nordstroem's gravity, and Einstein's General Relativity) have. These theories serve as the "canon" for the orthodox view. Their historical roles also suggest a Whiggish story of inevitable progress. Physics literature after c. 1920 is relevant to orthodoxy primarily as commentary on the canon, which closed in the 1910s. The orthodox view explains the spatio-temporal behavior of matter in terms of the manifestation of the real geometry of space-time, an explanation works fairly well within the canon. The orthodox view, Whiggish history, and the canon have a symbiotic relationship.

If one happens to philosophize about a theory outside the canon, space-time realism sheds little light on the spatio-temporal behavior of matter. Worse, it gives the _wrong_ answer when applied to an example arguably _within_ the canon, a sector of Special Relativity, namely, _massive_ scalar gravity with universal coupling. Which is the true geometry---the flat metric from the Poincare' symmetry group, the conformally flat metric exhibited by material rods and clocks, or both---or is the question faulty? How does space-time realism explain the fact that all matter fields see the same curved geometry, when so many ways to mix and match exist? Constructivist attention to dynamical details is vindicated; geometrical shortcuts can disappoint. The more exhaustive exploration of relativistic field theories in particle physics, especially massive theories, is a largely untapped resource for space-time philosophy.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Pitts, J. Brianjbp25@cam.ac.uk0000-0002-7299-5137
Additional Information: To appear in the special issue of \emph{Studies in History and Philosophy of Modern Physics} on Harvey Brown's \emph{Physical Relativity} 10 years later.
Keywords: space-time; particle physics; geometrical explanation; massive gravity; scalar gravity
Subjects: General Issues > Conventionalism
Specific Sciences > Physics > Cosmology
General Issues > Explanation
Specific Sciences > Physics > Fields and Particles
General Issues > History of Philosophy of Science
General Issues > Logical Positivism/Logical Empiricism
General Issues > Operationalism/Instrumentalism
Specific Sciences > Physics > Quantum Gravity
Specific Sciences > Physics > Quantum Field Theory
General Issues > Realism/Anti-realism
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Dr. Dr. J. Brian Pitts
Date Deposited: 01 May 2017 23:11
Last Modified: 01 May 2017 23:11
Item ID: 13012
Subjects: General Issues > Conventionalism
Specific Sciences > Physics > Cosmology
General Issues > Explanation
Specific Sciences > Physics > Fields and Particles
General Issues > History of Philosophy of Science
General Issues > Logical Positivism/Logical Empiricism
General Issues > Operationalism/Instrumentalism
Specific Sciences > Physics > Quantum Gravity
Specific Sciences > Physics > Quantum Field Theory
General Issues > Realism/Anti-realism
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
Date: 2017
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/13012

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