This book benefitted greatly from the support of Jürgen Renn, who not only co-organised and funded (via the MPIWG) two highly successful workshops on the early history of quantum gravity (at Pasadena in 2010 and Berlin in 2011), but also helped fund several research projects closely related to this book. We wish to also acknowledge Diana Kormos-Buchwald and Tilman Sauer (now University of Mainz), of the Einstein Papers Project, who were also responsible for the organisation of the Pasadena workshop. The participants in those workshop sessions deserve thanks for their probing analyses of several of the papers that appear in this volume. We would also like to thank Urte Brauckmann of the MPIWG library for her invaluable help in procuring the reproduction rights to the papers. Dean Rickles would also like to thank the Australian Research Council for its support of his historical research via a Future Fellowship: FT130100466. 


Quantum Gravity in the First Half of the Twentieth Century

Table of Contents



Dimensions and Domains

1 Quantum Theory Meets Gravitation: First Encounters
Dean Rickles

2 Albert Einstein (1916): Näherungsweise Integration der Feldgleichungen der Gravitation

3 Arthur Stanley Eddington (1918): Gravitation and the Principle of Relativity II

4 George B. Jeffery (1921): The Field of an Electron on Einstein’s Theory of Gravitation

Shifting Boundaries between Quantum Theory and Relativity

5 Where to Start? First Interactions between Wave Mechanics and General Relativity
Alexander Blum

6 Théophile de Donder and Frans Henri van den Dungen (1926): La quantification déduite de la Gravifique einsteinienne

7 Théophile de Donder (1926): Application de la quantification déduite de la Gravifique einsteinienne

8 Oskar Klein (1926): Quantentheorie und fünfdimensionale Relativitätstheorie

9 Oskar Klein (1927): Zur fünfdimensionalen Darstellung der Relativitätstheorie

10 Hugo Tetrode (1928): Allgemein-relativistische Quantentheorie des Elektrons

11 Vladimir Fock (1929): Geometrisierung der Diracschen Theorie des Elektrons

12 Hermann Weyl (1929): Elektron und Gravitation

13 Erwin Schrödinger (1932): Diracsches Elektron im Schwerefeld I

14 Leopold Infeld and Bartel van der Waerden (1933): Die Wellengleichung des Elektrons in der allgemeinen Relativitätstheorie

15 Albert Einstein, Leopold Infeld and Banesh Hoffmann (1938): The Gravitational Equations and the Problem of Motion

16 Erwin Schrödinger (1940): The General Theory of Relativity and Wave Mechanics

The Quantization of Gravity

17 Without New Difficulties: Quantum Gravity and the Crisis of the Quantum Field Theory Program
Alexander Blum

18 Léon Rosenfeld (1930): Zur Quantelung der Wellenfelder

19 Léon Rosenfeld (1930): Über die Gravitationswirkungen des Lichts

20 Matvei Bronstein (1936): Quantentheorie schwacher Gravitationsfelder

21 Jacques Solomon (1938): Gravitation et Quanta

22 Paul Weiss (1938): On the Hamilton-Jacobi Theory and Quantization of a Dynamical Continuum

23 Markus Fierz and Wolfgang Pauli (1939): On Relativistic Wave Equations for Particles of Arbitrary Spin in an Electromagnetic Field

Discreteness and Divergences

24 The Emergence of Quantum Geometry
Dean Rickles

25 Victor Ambarzumian and Dmitri Iwanenko (1930): Zur Frage nach Vermeidung der unendlichen Selbstrückwirkung des Elektrons

26 Werner Heisenberg (1938): Über die in der Theorie der Elementarteilchen auftretende universelle Länge

27 Hartland S. Snyder (1946): Quantized Space-Time

28 Chen-Ning Yang (1947): On Quantized Space-Time

29 Nathan Rosen (1947): Statistical Geometry and Fundamental Particles

30 Alfred Schild (1948): Discrete Space-Time and Integral Lorentz Transformations

Gauge and Constraints

31 The Genesis of Canonical Quantum Gravity
Alexander Blum, Donald Salisbury

32 Peter G. Bergmann (1949): Non-Linear Field Theories

33 Peter G. Bergmann and Johanna H. M. Brunings (1949): Non-Linear Field Theories II: Canonical Equations and Quantization

34 P. A. M. Dirac (1950): Generalized Hamiltonian Dynamics

35 Felix Pirani and Alfred Schild (1950): On the Quantization of the Gravitational Field Equations

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