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Abstract
1Introduction
1.1Preface
1.2Introduction to part I
2The Possibilities of Generalizing General Relativity: A Brief Overview
2.1Geometry
2.2Dynamics
2.3Number field
2.4Dimension
3Early Attempts at a Unified Field Theory
3.1First steps in the development of unified field theories
3.2Early disagreement about how to explain elementary particles by field theory
4The Main Ideas for Unification between about 1918 and 1923
4.1Weyl’s theory
4.2Kaluza’s five-dimensional unification
4.3Eddington’s affine theory
5Differential Geometry’s High Tide
6The Pursuit of Unified Field Theory by Einstein and His Collaborators
6.1Affine and mixed geometry
6.2Further work on (metric-) affine and mixed geometry
6.3Kaluza’s idea taken up again
6.4Distant parallelism
7Geometrization of the Electron Field as an Additional Element of Unified Field Theory
7.1Unification of Maxwell’s and Dirac’s equations, of electrons and light
7.2Dirac’s electron with spin, Einstein’s teleparallelism, and Kaluza’s fifth dimension
7.3Einstein, spinors, and semi-vectors
8Less Than Unification
9Mutual Influences Among Mathematicians and Physicists?
10Public Reception of Unified Field Theory at the Time
11Conclusion
12Acknowledgements
open ReferencesReferences
Biographies
Footnotes