In 1908 Hermann Minkowski gave the four-dimensional(spacetime) formulationof special relativity[1]. In fact,HenriPoincare[ ¿ 2] rst noticedin1906that the Lorentz transformations had a geometric interpretation as rotations in a four-dimensional space with time as the fourth dimension. However it was Minkowski, who succe- fully decoded the profound message about the dimensionality of the world hidden in the relativity postulate, which re ects the experimental fact that natural laws are the same in all inertial reference frames. Unlike Poincare, ¿ Minkowski did not regardspacetime ¿ the uni cation of space and time ¿ as a convenientmathematical space, but insisted that this absolute four-dimensional world, as Minkowski called it, represents physical phenomena and the world more adequately than the relativity postulate: ¿the word relativity-postulate. . . seems to me very feeble. Since the pos- late comes to mean that only the four-dimensional world in space and time is given by the phenomena. . . I prefer to call it the postulate of the absolute world¿[3]. The impact of Minkowski¿s ideas on the twentieth century physics has been so immense that one cannot imagine modern physics without the notion of spacetime. It would hardly be an exaggeration to say that spacetime has been the greatest discoveryinphysicsofall times. Theonlyotherdiscoverythatcomesclosetospa- time is Einstein¿s general relativity, which revealed that gravity is a manifestation of the curvature of spacetime. But it was the discovery of spacetime, which paved the way for this deep understanding of what gravity really is. Einstein saw the link betweenthegeometryofspacetimeandgravitationonlyafterheovercamehis initial hostile attitude toward the notion of spacetime.
In 1908 Hermann Minkowski gave the four-dimensional(spacetime) formulationof special relativity[1]. In fact,HenriPoincare[ ¿ 2] rst noticedin1906that the Lorentz transformations had a geometric interpretation as rotations in a four-dimensional space with time as the fourth dimension. However it was Minkowski, who succe- fully decoded the profound message about the dimensionality of the world hidden in the relativity postulate, which re ects the experimental fact that natural laws are the same in all inertial reference frames. Unlike Poincare, ¿ Minkowski did not regardspacetime ¿ the uni cation of space and time ¿ as a convenientmathematical space, but insisted that this absolute four-dimensional world, as Minkowski called it, represents physical phenomena and the world more adequately than the relativity postulate: ¿the word relativity-postulate. . . seems to me very feeble. Since the pos- late comes to mean that only the four-dimensional world in space and time is given by the phenomena. . . I prefer to call it the postulate of the absolute world¿[3]. The impact of Minkowski¿s ideas on the twentieth century physics has been so immense that one cannot imagine modern physics without the notion of spacetime. It would hardly be an exaggeration to say that spacetime has been the greatest discoveryinphysicsofall times. Theonlyotherdiscoverythatcomesclosetospa- time is Einstein¿s general relativity, which revealed that gravity is a manifestation of the curvature of spacetime. But it was the discovery of spacetime, which paved the way for this deep understanding of what gravity really is. Einstein saw the link betweenthegeometryofspacetimeandgravitationonlyafterheovercamehis initial hostile attitude toward the notion of spacetime.
Über den Autor
Vesselin Petkov received a graduate degree in physics from Sofia University, a doctorate in philosophy from the Institute for Philosophical Research of the Bulgarian Academy of Sciences, and a doctorate in physics from Concordia University. He taught at Sofia University and is currently teaching at Concordia University. He wrote the book "Relativity and the Nature of Spacetime" (Springer 2005) and edited the books "Relativity and the Dimensionality of the World" (Springer 2007), and "Minkowski Spacetime: A Hundred Years Later" (Springer, forthcoming). He is a member of the Governing Board of the International Society for the Advanced Study of Spacetime
Zusammenfassung
Addresses some of the deepest questions in all of physics
Describes how other areas of physics are influenced by our choice of spacetime description
Substantial contributions provide overviews for newcomers to the area
Includes supplementary material: [...]
Inhaltsverzeichnis
I.Minkowski's Representation of Special Relativity -- Examples of Its Impact on the Twentieth Century Physics.- The Minkowskian Background of Whitehead¿s Theory of Gravitation.- The Experimental Verdict on Spacetime from Gravity Probe B.- Rigidity and the Ruler Hypothesis.-Minkowski Space and Quantum Mechanics.- Relativity and Quantum Field Theory.- Ether, the Theory of Relativity and Quantum Physics.- II: Implications of Minkowski's Ideas for the Philosophy of Space and Time.- Minkowski¿s Proper Time and the Status of the Clock Hypothesis.-Why Spacetime is not a Hidden Cause: A Realist Story.- Structural Explanations in Minkowski Spacetime: Which Account of Models?.-Relativity of Simultaneity and Eternalism: In Defense of the Block Universe.- Minkowski Spacetime and Thermodynamics.-No Presentism in Quantum Gravity.-III. The Impact of Minkowski's Ideas Beyond the Philosophy of Space and Time.- Spacetime, Phenomenology, and the Picture Theory of Language.- The Fate of Mathematical Place: Objectivity and the Theory of Lived-Space from Husserl to Casey.