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Einstein, A.; Coehn, Alfred; Koppel, J.; Asher, Leon

doi:10.1007/bf01491096

Cited by 30 publications

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“…507-509], [64]. 23 As late as November 1918 -more than half a year after clarifying the foundations of general relativity [41] -Einstein saw fit to publish an account of the twin paradox along these lines [44]. This 1918 paper not only offered a solution for a problem that had already been solved, it also raised suspicion about the earlier solution by suggesting that the problem called for general relativity.…”

Section: Newton's Two Globesmentioning

confidence: 99%

“…This observer will claim that the centrifugal forces on the water come from this gravitational field and that the particles that make up the shell are in free fall in this field, which exerts centrifugal as well as Coriolis forces on them. 44 The shell, however, is not the source of this field.…”

Section: Newton's Two Globesmentioning

confidence: 99%

“…43 The components g 14 = g 41 = ωy, g 24 = g 42 = −ωx, and g 44 = 1 − ω 2 r 2 of the Minkowski metric in a coordinate system rotating with angular velocity ω around the z-axis go to infinity as r ≡ x 2 + y 2 goes to infinity. 44 For a particle of mass m rotating with angular frequency ω at a distance r from the axis of rotation the centrifugal force and the Coriolis force add up to a centripetal force of size mω 2 r needed to keep the particle in its circular orbit (cf. note 24).…”

Section: Newton's Two Globesmentioning

confidence: 99%

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Of pots and holes: Einstein's bumpy road to general relativity

Janssen

2005

Ann. Phys.

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Section: Newton's Two Globesmentioning

confidence: 99%

Section: Newton's Two Globesmentioning

confidence: 99%

Section: Newton's Two Globesmentioning

confidence: 99%

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Of pots and holes: Einstein's bumpy road to general relativity

Janssen

2005

Ann. Phys.

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Introduction to Volumes 1 and 2: The Zurich Notebook and the Genesis of General Relativity

Janssen

Norton²,

Renn

et al. 2007

The Genesis of General Relativity

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Unifying physics by describing a variety of interactions -or even all interactions -within a common framework has long been an alluring goal for physicists. One of the most ambitious attempts at unification was made in the 1910s by Gustav Mie. Mie aimed to derive electromagnetism, gravitation, and aspects of the emerging quantum theory from a single variational principle and a well-chosen Lagrangian. Mie's main innovation was to consider nonlinear field equations to allow for stable particle-like solutions (now called solitons), and he clarified the use of variational principles in the context of special relativity. The following brief introduction to Mie's work has three main objectives. 1 The first is to explain how Mie's project fit into the contemporary development of the electromagnetic world view. Part of Mie's project was to develop a relativistic theory of gravitation as a consequence of his generalized electromagnetic theory, and our second goal is to briefly assess this work, which reflects the conceptual resources available for developing a new account of gravitation by analogy with electromagnetism. Finally, Mie was a vocal critic of other approaches to the problem of gravitation. Mie's criticisms of Einstein, in particular, bring out the subtelty and novelty of the ideas that Einstein used to guide his development of general relativity.In September of 1913 Einstein presented a lecture on the current status of the problem of gravitation at the 85th Naturforscherversammlung. Einstein's lecture and the ensuing heated discussion, both published later that year in the Physikalische Zeitschrift, reflect the options available for those who took on the task of developing a new theory of gravitation. The 1 Our study of Mie has been aided considerably by several recent discussions of his work, including Kohl (2002), Corry (1999), and Vizgin (1994. Born (1914), included in this volume, gives an insightful, influential reformulation of Mie's framework, and Pauli (1921, §64, 188-192 in the English translation) and Weyl (1918, §25, 206-217 ( §26) in the English translation of the fourth edition) both give clear contemporary reviews.

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Journeys in spacetime

Sigurdsson¹

2001

DMV Seminar

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Cited by 30 publications

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Of pots and holes: Einstein's bumpy road to general relativity

Of pots and holes: Einstein's bumpy road to general relativity

Introduction to Volumes 1 and 2: The Zurich Notebook and the Genesis of General Relativity

Journeys in spacetime

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