The Principle of Relativity

About this eBook

Author

Minkowski, H. (Hermann), 1864-1909

Credits

Richard Tonsing, David King, and the Online Distributed Proofreading Team at www.pgdp.net. (This file was produced from images generously made available by The Internet Archive.)

Language

English

LoC Class

QC: Science: Physics

Subject

Relativity (Physics)

Category

Text

Project Gutenberg

eBook-No. 66944

Release Date

December 14, 2021

Copyright

Public domain in the USA.

Contents

1. 1.The Principle of Relativity
2. 2.TABLE OF CONTENTS
3. 3.HISTORICAL INTRODUCTION — Conclusion — Note A.
4. 4.On The Electrodynamics of Moving Bodies By A. Einstein. — INTRODUCTION. — I.—KINEMATICAL PORTION. — § 1. Definition of Synchronism. — § 2. On the Relativity of Length and Time. — § 3. Theory of Co-ordinate and Time-Transformation from a stationary system to a system which moves relatively to this with uniform velocity. — § 4. The physical significance of the equations obtained concerning moving rigid bodies and moving clocks. — § 5. Addition-Theorem of Velocities. — II.—ELECTRODYNAMICAL PART. — § 6. Transformation of Maxwell’s equations for Pure Vacuum. — § 7. Theory of Döppler’s Principle and Aberration. — § 8. Transformation of the Energy of the Rays of Light. Theory of the Radiation-pressure on a perfect mirror. — § 9. Transformation of the Maxwell-Hertz Equations. — § 10. Dynamics of the Electron (slowly accelerated).
5. 5.ALBRECHT EINSTEIN [ A short biographical note. ]
6. 6.Principle of Relativity — INTRODUCTION. — NOTATIONS. — PART I § 2. The Limiting Case. The Fundamental Equations for Äther. — § 3. — § 4. Special Lorentz Transformation. — § 5. Space-time Vectors. Of the 1st and 2nd kind. — § 6. Concept of Time. — PART II. ELECTRO-MAGNETIC PHENOMENA. § 7. Fundamental Equations for bodies at rest. — § 8. The Fundamental Equations. — § 9. The Fundamental Equations in Lorentz’s Theory. — §10. Fundamental Equations of E. Cohn. — §11. Typical Representations of the Fundamental Equations. — §12. The Differential Operator Lor. — § 13. The Product of the Field-vectors f F. — § 14. The Ponderomotive Force. [28]
7. 7.APPENDIX Mechanics and the Relativity-Postulate.
8. 8.SPACE AND TIME — I — II — III — IV — V
9. 9.The Foundation of the Generalised Theory of Relativity By A. Einstein. From Annalen der Physik 4.49.1916. — A Principal considerations about the Postulate of Relativity. — § 1. Remarks on the Special Relativity Theory. — § 2. About the reasons which explain the extension of the relativity-postulate. — § 3. The time-space continuum. Requirements of the general Co-variance for the equations expressing the laws of Nature in general. — § 4. Relation of four co-ordinates to spatial and time-like measurements. — B Mathematical Auxiliaries for Establishing the General Covariant Equations. — 5. Contra-variant and co-variant Four-vector. — § 6. Tensors of the second and higher ranks. — § 7. Multiplication of Tensors. — § 9. Equation of the geodetic line (or of point-motion). — § 10. Formation of Tensors through Differentiation. — §12. The Riemann-Christoffel Tensor. — C. THE THEORY OF THE GRAVITATION-FIELD — §13. Equation of motion of a material point in a gravitation-field. Expression for the field-components of gravitation. — §14. The Field-equation of Gravitation in the absence of matter. — §15. Hamiltonian Function for the Gravitation-field. Laws of Impulse and Energy. — §16. General formulation of the field-equation of Gravitation. — §17. The laws of conservation in the general case. — §18. The Impulse-energy law for matter as a consequence of the field-equations. — D. THE “MATERIAL” PHENOMENA. — §19. Euler’s equations for frictionless adiabatic liquid. — §20. Maxwell’s Electro-Magnetic field-equations. — E. §21. Newton’s theory as a first approximation. — §17. The laws of conservation in the general case. — §18. The Impulse-energy law for matter as a consequence of the field-equations. — D. THE “MATERIAL” PHENOMENA. — §19. Euler’s equations for frictionless adiabatic liquid. — §20. Maxwell’s Electro-Magnetic field-equations. — E. §21. Newton’s theory as a first approximation. — §22. Behaviour of measuring rods and clocks in a statical gravitation-field. Curvature of light-rays. Perihelion-motion of the paths of the Planets.
10. 10.NOTES — Note 1. — Note 2. Lorentz Transformation. — Note 3. — Note 4. Relativity Theorem and Relativity-Principle. — Note 5. — Note 6. Field Equations in Minkowski’s Form. — Note 9. On the Constancy of the Velocity of Light. — Note 10. Rest-density of Electricity. — Note 11 (page 17) Space-time vectors of the first and the second kind. — Note 12. Light-velocity as a maximum. — Notes 13 and 14. — Note 15. The vector product ( w f ). (P. 36). — Note 16. The electric-rest force. (Page 37.) — Note 17. Operator “Lor” (§ 12, p. 41).

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