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E-grāmata: How Einstein Found His Field Equations: Sources and Interpretation

  • Formāts: PDF+DRM
  • Sērija : Classic Texts in the Sciences
  • Izdošanas datums: 29-Jul-2022
  • Izdevniecība: Springer Nature Switzerland AG
  • Valoda: eng
  • ISBN-13: 9783030979553
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  • Formāts: PDF+DRM
  • Sērija : Classic Texts in the Sciences
  • Izdošanas datums: 29-Jul-2022
  • Izdevniecība: Springer Nature Switzerland AG
  • Valoda: eng
  • ISBN-13: 9783030979553
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Einstein's field equations of gravitation are a core element of his general theory of relativity. In four short communications to the Prussian Academy of Sciences in Berlin in November 1015, we can follow the final steps toward these equations and the resulting theory's spectacular success in accounting for the anomalous motion of Mercury's perihelion. This source book provides an expert guide to these four groundbreaking papers. Following an introductory essay placing these papers in the context of the development of Einstein's theory, it presents and analyzes, in addition to the four papers of November 1915, a careful selection of (critical excerpts from) papers, letters, and manuscripts documenting the path that early on led Einstein to the field equations of the first November 1915 paper, but then took a turn away from them only to lead back to them in the end. Drawing on extensive research at the Einstein Papers Project and the Max Planck Institute for History of Science, this volume traces the intricate interplay between considerations of physics and considerations of mathematics that guided Einstein along this path. It thus presents a concise yet authoritative account of how Einstein found his field equations, affording readers who are prepared to immerse themselves in these intricacies a unique glimpse of Einstein at work at the height of his creative prowess. Highlights of this journey in Einstein's footsteps include the crucial pages (with detailed annotation) from the Zurich Notebook, the record of Einstein's early search for field equation with his mathematician friend Marcel Grossmann, and the Einstein-Besso manuscript, documenting Einstein's attempts with his friend and confidant Michele Besso to explain the Mercury anomaly on the basis of the equations that he and Grossmann had eventually settled on in the Zurich Notebook.

Recenzijas

This wonderful book is not a book to read! It is a book to be used. It is a tool that could help a great number of people to understand general relativity more deeply and to apply it. This book should figure in the library of anyone working on relativity, remembering that it also contains an important bibliography also containing important texts linked to that development. (Patricia Radelet-de Grave, Mathematical Reviews, May, 2023)

Part I Essay
1 Overview of the contents of this volume
3(8)
2 From the Entwurf field equations to the Einstein field equations: a first pass
11(6)
2.1 "With a heavy heart"
11(1)
2.2 "Every year he retracts what he wrote the year before"
12(2)
2.3 "Nostrified"
14(3)
3 The Zurich Notebook: How Einstein found the Entwurf field equations
17(12)
3.1 The mathematical strategy
18(5)
3.2 The physical strategy
23(6)
4 Consolidating the Entwurf Theory
29(10)
4.1 The hole argument
30(3)
4.2 A variational formalism for the Entwurf field equations
33(3)
4.3 The Entwurf theory, the Nordstrom theory, and Hilbert's theory
36(3)
5 The Entwurf field equations as the scaffold for the Einstein field equations
39(16)
5.1 The "fateful prejudice" and the "key to the solution"
40(1)
5.2 Untying the knot
41(3)
5.3 Physics, mathematics or both?
44(5)
5.4 Finishing touches
49(3)
5.5 Scaffold and arch
52(3)
6 Mercury's perihelion: From 18" in the Entwurf theory to 43" in general relativity
55(6)
7 Beyond the search for field equations
61(14)
7.1 Cosmology as a continuation of the mathematical strategy
61(8)
7.2 Gravitational waves as a continuation of the physical strategy
69(6)
Part II Sources
1 The Zurich Notebook (1912-13)
75(26)
1.1 Facsimile
76(6)
1.2 Transcription
82(6)
1.3 Commentary
88(13)
2 The Einstein-Besso Manuscript (1913)
101(54)
2.1 Facsimile
102(14)
2.2 Transcription
116(13)
2.3 Commentary
129(26)
3 "Formale Grundlage" (November 1914)
155(30)
3.1 Facsimile
155(12)
3.2 Translation
167(11)
3.3 Commentary
178(7)
4 Einstein to Freundlich, September 30, 1915
185(6)
4.1 Transcription
185(1)
4.2 Translation
186(1)
4.3 Commentary
187(4)
5 Einstein to Lorentz, October 12, 1915
191(6)
5.1 Transcription
191(1)
5.2 Translation
192(2)
5.3 Commentary
194(3)
6 The November 1915 Papers
197(72)
6.1 First paper (November 4)
198(25)
6.1.1 Facsimile
198(9)
6.1.2 Translation
207(8)
6.1.3 Commentary
215(8)
6.2 Second paper (November 11)
223(7)
6.2.1 Facsimile
223(3)
6.2.2 Translation
226(2)
6.2.3 Commentary
228(2)
6.3 Third paper (November 18)
230(27)
6.3.1 Facsimile
230(9)
6.3.2 Translation
239(8)
6.3.3 Commentary
247(10)
6.4 Fourth paper (November 25)
257(12)
6.4.1 Facsimile
257(4)
6.4.2 Translation
261(3)
6.4.3 Commentary
264(5)
7 Einstein to Sommerfeld, November 28, 1915
269(8)
7.1 Transcription
269(2)
7.2 Translation
271(2)
7.3 Commentary
273(4)
8 Einstein to Ehrenfest, January, 1916
277(20)
8.1 Facsimile
277(3)
8.2 Transcription
280(5)
8.3 Translation
285(5)
8.4 Commentary
290(7)
9 "Die Grundlage" (May 1916)
297(28)
9.1 Facsimile
297(12)
9.2 Translation
309(9)
9.3 Commentary
318(7)
10 "Hamiltonsches Prinzip" (November 1916)
325(17)
10.1 Facsimile
326(6)
10.2 Translation
332(5)
10.3 Commentary
337(5)
References 342
Michel Janssen, University of Minnesota Tate Laboratory of Physics, Minneapolis, Minnesota, USA

Jürgen Renn, Max-Planck-Institut für Wissenschaftsgeschichte, Berlin, Germany