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E-raamat: Philosophy and Physics of Noether's Theorems: A Centenary Volume

Edited by (Pembroke College, Oxford), Edited by (University of Notre Dame, Indiana)
  • Formaat: PDF+DRM
  • Ilmumisaeg: 29-Sep-2022
  • Kirjastus: Cambridge University Press
  • Keel: eng
  • ISBN-13: 9781108786812
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  • Formaat: PDF+DRM
  • Ilmumisaeg: 29-Sep-2022
  • Kirjastus: Cambridge University Press
  • Keel: eng
  • ISBN-13: 9781108786812
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In 1918, Emmy Noether, in her paper Invariante Variationsprobleme, proved two theorems (and their converses) on variational problems that went on to revolutionise theoretical physics. 100 years later, the mathematics of Noether's theorems continues to be generalised, and the physical applications of her results continue to diversify. This centenary volume brings together world-leading historians, philosophers, physicists, and mathematicians in order to clarify the historical context of this work, its foundational and philosophical consequences, and its myriad physical applications. Suitable for advanced undergraduate and graduate students and professional researchers, this is a go-to resource for those wishing to understand Noether's work on variational problems and the profound applications which it finds in contemporary physics.

Noether's 1918 theorems revolutionised physics. This centenary volume brings together world-leading philosophers, physicists, historians and mathematicians in order to contextualise, apply, and extend Noether's results, ready for the next 100 years. It is an invaluable resource for students and researchers wishing to understand or apply this work.

Arvustused

' simultaneously serves as a comprehensive demonstration of the past 20 years of progress in philosophy of physics, an invaluable reference for physicists and philosophers alike, and a superb springboard for future research.' Katherine Brading, Physics Today

Muu info

A centenary volume that celebrates, extends and applies Noether's 1918 theorems with contributions from world-leading researchers.
List of Contributors
vii
Introduction 1(3)
James Read
Nicholas J. Teh
1 The Noether Theorems in Context
4(21)
Yvette Kosmann-Schwarzbach
2 Felix Klein and Emmy Noether on Invariant Theory and Variational Principles
25(27)
David E. Rowe
3 Moscow, Oxford, or Princeton: Emmy Noether's Move from Gottingen (1933)
52(14)
Tomoko L. Kitagawa
4 Getting to the Bottom of Noether's Theorem
66(34)
John C. Baez
5 BV Quantisation in Perturbative Algebraic QFT: Fundamental Concepts and Perspectives
100(34)
Kasia Rejzner
6 Divergence Invariant Variational Problems
134(10)
Peter J. Olver
7 Do Symmetries `Explain' Conservation Laws? The Modern Converse Noether Theorem vs Pragmatism
144(25)
Harvey R. Brown
8 Noether's First Theorem and the Energy-Momentum Tensor Ambiguity Problem
169(28)
Mark Robert Baker
Niels Linnemann
Chris Smeenk
9 Noether's Theorems and Energy in General Relativity
197(60)
Sebastian De Haro
10 Geometric Objects and Perspectivalism
257(17)
James Read
11 Substantive General Covariance and the Einstein-Klein Dispute: A Noetherian Approach
274(22)
Laurent Freidel
Nicholas J. Teh
12 Noether Charges, Gauge-Invariance, and Non-Separability
296(26)
Henrique Gomes
13 Observability, Redundancy, and Modality for Dynamical Symmetry Transformations
322(32)
David Wallace
14 The Gauge Argument: A Noether Reason
354(23)
Henrique Gomes
Bryan W. Roberts
Jeremy Butterfield
Index 377
Nicholas Teh is an Associate Professor of Philosophy at the University of Notre Dame. His primary research area is the intersection of philosophy, physics, and mathematics. He has been awarded several prestigious grants for his research, including two NSF fellowships. James Read is an Associate Professor in the Faculty of Philosophy, University of Oxford, and a Tutorial Fellow in Philosophy at Pembroke College, Oxford. He is also currently Treasurer of the British Society for Philosophy of Science. He has won several international prizes in the Philosophy of Physics, including the Hanneke Janssen Prize and Clifton Memorial Prize.