 Title Pages
 Frontispiece
 Epigraph
 Foreword
 Preface

1 Introduction 
2 Einstein’s First Trip to America 
3 Structure and Contents of the Meaning of Relativity 
1 Physics and Geometry 
2 The Principles of General Relativity 
3 The First Solutions and the Challenge of Their Interpretation 
4 Einstein and the Astronomers 
5 The Genesis of Relativistic Cosmology 
6 The Controversy over Gravitational Waves 
7 Philosophical Debates on General Relativity 
8 The Quest for a Unified Field Theory 
9 Early Monographs on Relativity 
10 Beyond the Formative Years  Space and Time in Prerelativity Physics
 The Theory of Special Relativity
 The General Theory of Relativity
 The General Theory of Relativity (Continued)

Appendix For the Second Edition 
Appendix II Generalization of Gravitation Theory 
Appendix II Relativistic Theory of the Nonsymmetric Field 
1 Introductory Remarks 
2 Einstein’s Lectures  Biographical Notes
 Index
Space and Time in Prerelativity Physics
Space and Time in Prerelativity Physics
 Chapter:
 (p.161) Space and Time in Prerelativity Physics
 Source:
 The Formative Years of Relativity
 Author(s):
Hanoch Gutfreund
Jürgen Renn
 Publisher:
 Princeton University Press
This chapter begins with an epistemological discussion of space and time and of geometry in relation to Einstein's formulation of relativity theory. It introduces the concept of invariants. These are the only quantities to have an objective significance with respect to a specific geometry. The chapter then introduces the basics of tensor calculus. Tensor formulation of the laws of physics guarantees that they are covariant with respect to transformations, which represent the symmetry of space. The symmetry of space, namely, its isotropy and homogeneity, determines the form of physical laws. Einstein refers to this as “the principle of relativity with respect to direction.” The chapter then demonstrates how this principle is reflected in some of the equations of physics.
Keywords: space, time, prerelativity physics, physics, geometry, tensor calculus, tensor formulation, symmetry of space, Albert Einstein
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 Title Pages
 Frontispiece
 Epigraph
 Foreword
 Preface

1 Introduction 
2 Einstein’s First Trip to America 
3 Structure and Contents of the Meaning of Relativity 
1 Physics and Geometry 
2 The Principles of General Relativity 
3 The First Solutions and the Challenge of Their Interpretation 
4 Einstein and the Astronomers 
5 The Genesis of Relativistic Cosmology 
6 The Controversy over Gravitational Waves 
7 Philosophical Debates on General Relativity 
8 The Quest for a Unified Field Theory 
9 Early Monographs on Relativity 
10 Beyond the Formative Years  Space and Time in Prerelativity Physics
 The Theory of Special Relativity
 The General Theory of Relativity
 The General Theory of Relativity (Continued)

Appendix For the Second Edition 
Appendix II Generalization of Gravitation Theory 
Appendix II Relativistic Theory of the Nonsymmetric Field 
1 Introductory Remarks 
2 Einstein’s Lectures  Biographical Notes
 Index