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Minkowski Spacetime: A Hundred Years Later

Part of the Fundamental Theories of Physics Book Series (volume 165)

Editors: Petkov, Vesselin

DOI: 10.1007/978-90-481-3475-5

ISBN: 978-90-481-3474-8

Publisher: Springer Netherlands - Springer Journals

Nov 21, 2009

1 - 10 of 14 Chapters

Available

Hermann Minkowski, Relativity and the Axiomatic Approach to Physics

Corry, Leo

Pages: 3 –41

[This article surveys the general background to Minkowski’s incursion into relativity, of which Einstein’s work represented just one side. Special attention is paid to the idiosyncratic, rich, and complex interaction between mathematics and physics, that stood at the center of attention of the...
Available

Minkowski’s Modern World

Walter, Scott

Pages: 43 –61

[The phenomenal response to Minkowski’s 1908 lecture in Cologne has tested the historian’s capacity for explanation on rational grounds. What was it about Minkowki’s lecture that so schocked the sensibilities of his public? In this essay, Minkowski’s spacetime theory is considered as a solution...
Available

Hermann Minkowski and Special Relativity

Hall, Graham

Pages: 65 –82

[Hermann Minkowski was a mathematical physicist who believed that beauty and elegance were important in the mathematical expression of physical principles. Among his most important works and the work for which his name is, perhaps, best known is his beautiful reformulation of Einstein’s special...
Available

The Rich Structure of Minkowski Space

Giulini, Domenico

Pages: 83 –132

[Minkowski Space is the simplest four-dimensional Lorentzian Manifold, being globally flat, and hence the simplest model of spacetime – from a General-Relativistic point of view. But this does not mean that it is trivial in any reasonable sense. In fact, it has a very rich structure, parts of...
Available

Minkowski Space-Time and Quantum Mechanics

Unruh, W. G.

Pages: 133 –148

[Minkowski’s conception of spacetime has had a large impact on our interpretation of quantum theory. Time in quantum mechanics plays a a role in the interpretation distinct from space, in contrast with the apparent unity of space and time encapsulate in the notion of spacetime. It clearly ruled...
Available

Modern Space-Time and Undecidability

Gambini, Rodolfo; Pullin, Jorge

Pages: 149 –161

[The picture of space-time that Minkowski created in 1907 has been followed by two important developments in physics not contained in the original picture: general relativity and quantum mechanics. We will argue that the use of concepts of those theories to construct space-time implies conceptual...
Available

Quantum Space-Times

Ashtekar, Abhay

Pages: 163 –196

[In general relativity space-time ends at singularities. The big bang is considered as the Beginning and the big crunch, the End. However these conclusions are arrived at by using general relativity in regimes which lie well beyond its physical domain of validity. Examples where detailed analysis...
Available

Space-Time Extensions in Quantum Gravity

Bojowald, Martin

Pages: 197 –222

[Space-time as described by special and general relativity is a classical object. In general relativity, it becomes dynamical, participates in the interactions between all degrees of freedom and can even cease to exist when a singularity is reached. As a dynamical object, space-time should be...
Available

The Adolescence of Relativity: Einstein, Minkowski, and the Philosophy of Space and Time

Dieks, Dennis

Pages: 225 –245

[An often repeated account of the genesis of special relativity tells us that relativity theory was to a considerable extent the fruit of an operationalist philosophy of science. Indeed, Einstein’s 1905 paper stresses the importance of rods and clocks for giving concrete physical content to...
Available

Hermann Minkowski: From Geometry of Numbers to Physical Geometry

Gauthier, Yvon

Pages: 247 –257

[For the historian or philosopher of science, Hermann Minkowski is known for the formulation of Special Relativity in terms of four-dimensional space-time. The original text is the famous 1908 “Raum und Zeit”, but it is rarely mentioned that Minkowski is the author of a geometry of numbers...

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