0.1 Preface

The present book is intended, as far as possible, to give an exact insight into the theory of Relativity to those readers who, from a general scientific and philosophical point of view, are interested in the theory, but who are not conversant with the mathematical apparatus of theoretical physics. The work presumes a standard of education corresponding to that of a university matriculation examination, and, despite the shortness of the book, a fair amount of patience and force of will on the part of the reader. The author has spared himself no pains in his endeavor to present the main ideas in the simplest and most intelligible form, and on the whole, in the sequence and connection in which they actually originated. In the interest of clearness, it appeared to me inevitable that I should repeat myself frequently, without paying the slightest attention to the elegance of the presentation. I adhered scrupulously to the precept of that brilliant theoretical physicist L. Boltzmann, according to whom matters of elegance ought to be left to the tailor and to the cobbler. I make no pretense of having withheld from the reader difficulties which are inherent to the subject. On the other hand, I have purposely treated the empirical physical foundations of the theory in a ”step-motherly” fashion, so that readers unfamiliar with physics may not feel like the wanderer who was unable to see the forest for the trees. May the book bring some one a few happy hours of suggestive thought!

0.2 Part I: The Special Theory of Relativity

01. Physical Meaning of Geometrical Propositions
02. The System of Co-ordinates
03. Space and Time in Classical Mechanics
04. The Galileian System of Co-ordinates
05. The Principle of Relativity (in the Restricted Sense)
06. The Theorem of the Addition of Velocities Employed in Classical mechanics
07. The Apparent Incompatibility of the Law of Propagation of Light with the Principle of Relativity
08. On the Idea of Time in Physics
09. The Relativity of Simultaneity
10. On the Relativity of the Conception of Distance
11. The Lorentz Transformation
12. The Behavior of Measuring-Rods and Clocks in Motion
13. Theorem of the Addition of Velocities. The Experiment of Fizeau
14. The Heuristic Value of the Theory of Relativity
15. General Results of the Theory
16. Experience and the Special Theory of Relativity
17. Minkowski’s Four-dimensional Space

0.3 Part II: The General Theory of Relativity

18. Special and General Principle of Relativity
19. The Gravitational Field
20. The Equality of Inertial and Gravitational Mass as an Argument for the General Postulate of Relativity
21. In What Respects Are the Foundations of Classical Mechanics and of the Special Theory of Relativity Unsatisfactory?
22. A Few Inferences from the General Principle of Relativity
23. Behavior of Clocks and Measuring-Rods on a Rotating Body of Reference
24. Euclidean and Non-Euclidean Continuum
25. Gaussian Co-Ordinates
26. The Space-Time Continuum of the Special Theory of Relativity Considered as a Euclidean Continuum
27. The Space-Time Continuum of the General Theory of Relativity is Not a Euclidean Continuum
28. Exact Formulation of the General Principle of Relativity
29. The Solution of the Problem of Gravitation on the Basis of the General Principle of Relativity

0.4 Part III: Considerations on the Universe as a Whole

30. Cosmological Difficulties of Newton’s Theory
31. The Possibility of a “Finite” and yet “Unbounded” Universe
32. The Structure of Space According to the General Theory of Relativity

0.5 Appendix I

33. Simple Derivation of the Lorentz Transformation

0.6 Appendix II

34. Minkowski’s Four-Dimensional Space (“World”)

0.7 Appendix III

35. The Experimental Confirmation of the General Theory of Relativity

0.8 Appendix IV

36. The Structure of Space According to the General Theory of Relativity (Supplementary to Section 32)

0.9 References

This article and subsequent child entries are derived from the Einstein Reference Archive (marxists.org) 1999, 2002. Einstein Reference Archive which is under the FDL copyright.