Towards a Theory of Spacetime Theories

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Dennis Lehmkuhl, Gregor Schiemann, Erhard Scholz
Birkhäuser, Jan 5, 2017 - Mathematics - 335 pages

This contributed volume is the result of a July 2010 workshop at the University of Wuppertal Interdisciplinary Centre for Science and Technology Studies which brought together world-wide experts from physics, philosophy and history, in order to address a set of questions first posed in the 1950s: How do we compare spacetime theories? How do we judge, objectively, which is the “best” theory? Is there even a unique answer to this question?

The goal of the workshop, and of this book, is to contribute to the development of a meta-theory of spacetime theories. Such a meta-theory would reveal insights about specific spacetime theories by distilling their essential similarities and differences, deliver a framework for a class of theories that could be helpful as a blueprint to build other meta-theories, and provide a higher level viewpoint for judging which theory most accurately describes nature. But rather than drawing a map in broad strokes, the focus is on particularly rich regions in the “space of spacetime theories.”

This work will be of interest to physicists, as well as philosophers and historians of science working with or interested in General Relativity and/or Space, Time and Gravitation more generally.

 

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Contents

Towards A Theory of Spacetime Theories
1
Inertial Motion Explanation and the Foundations of Classical Spacetime Theories
13
A Primer on Energy Conditions
43
Background Independence Diffeomorphism Invariance and the Meaning of Coordinates
105
Gauge Theory of Gravity and Spacetime
145
Paving the Way for TransitionsA Case for Weyl Geometry
171
A ModelTheoretic Analysis of SpaceTime Theories
225
The Relativity and Equivalence Principles for Selfgravitating Systems
257
The Physical Significance of Symmetries from the Perspective of Conservation Laws
267
Does Time Exist in Quantum Gravity?
287
Raiders of the Lost Spacetime
297
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