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Minkowski Spacetime: A Hundred Years Later (Hardcover, 2010 ed.): Vesselin Petkov Minkowski Spacetime: A Hundred Years Later (Hardcover, 2010 ed.)
Vesselin Petkov
R3,085 Discovery Miles 30 850 Ships in 10 - 15 working days

This volume is dedicated to the one hundredth anniversary of the publication of Hermann Minkowski's paper "Raum und Zeit" in 1909 [1]. The paper presents the textofthetalkMinkowskigaveatthe80thMeetingoftheGermanNaturalScientists and Physicians in Cologne on September 21, 1908. Minkowski's work on the spacetime representation of special relativity had a huge impact on the twentieth century physics, which can be best expressed by merely stating what is undeniable - that modern physics would be impossible wi- out the notion of spacetime. It is suf cient to mention as an example only the fact that general relativity would be impossible without this notion; Einstein succeeded to identifygravitywith the curvatureofspacetime onlywhen he overcamehis initial hostile reactionto Minkowski'sfour-dimensionalrepresentationof special relativity and adopted spacetime as the correct relativistic picture of the world. While there exists an unanimous consensus on the mathematical signi cance of spacetime for theoretical physics, for a hundred years there has been no consensus on the nature of spacetime itself. The rst sign of this continuing controversy was Sommerfeld's remark in his notes on Minkowski's article [2]: "What will be the epistemologicalattitudetowardsMinkowski'sconceptionofthetime-spaceproblem is another question, but, as it seems to me, a question which does not essentially touch his physics".

Relativity and the Nature of Spacetime (Hardcover, 2nd ed. 2009): Vesselin Petkov Relativity and the Nature of Spacetime (Hardcover, 2nd ed. 2009)
Vesselin Petkov
R2,535 Discovery Miles 25 350 Ships in 12 - 19 working days

Puts the emphasis on conceptual questions: Why is there no such thing as absolute motion? What is the physical meaning of relativity of simultaneity? But, the most important question that is addressed in this book is "what is the nature of spacetime?" or, equivalently, "what is the dimensionality of the world at the macroscopic level?"

Develops answers to these questions via a thorough analysis of relativistic effects and explicitly asking whether the objects involved in those effects are three-dimensional or four-dimensional.

Discusses the implication of the result (this analysis clearly shows that if the world and the physical objects were three-dimensional, none of the kinematic relativistic effects and the experimental evidence supporting them would be possible) for physics, philosophy, and our entire world view are discussed.

Space, Time, and Spacetime - Physical and Philosophical Implications of Minkowski's Unification of Space and Time... Space, Time, and Spacetime - Physical and Philosophical Implications of Minkowski's Unification of Space and Time (Hardcover, 2010 ed.)
Vesselin Petkov
R2,925 Discovery Miles 29 250 Ships in 10 - 15 working days

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."

Relativity and the Dimensionality of the World (Hardcover, 2007 ed.): Vesselin Petkov Relativity and the Dimensionality of the World (Hardcover, 2007 ed.)
Vesselin Petkov
R3,042 Discovery Miles 30 420 Ships in 10 - 15 working days

All physicists would agree that one of the most fundamental problems of the 21st century physics is the dimensionality of the world. In the four-dimensional world of Minkowski (or Minkowski spacetime) the most challenging problem is the nature of the temporal dimension. In Minkowski spacetime it is merely one of the four dimensions, which means that it is entirely given like the other three spacial dimensions. If the temporal dimension were not given in its entirety and only one constantly changing moment of it existed, Minkowski spacetime would be reduced to the ordinary three-dimensional space. But if the physical world, represented by Minkowski spacetime, is indeed four-dimensional with time being the fourth dimension, then such a world is drastically different from its image based on our perceptions.

Space, Time, and Spacetime - Physical and Philosophical Implications of Minkowski's Unification of Space and Time... Space, Time, and Spacetime - Physical and Philosophical Implications of Minkowski's Unification of Space and Time (Paperback, 2010 ed.)
Vesselin Petkov
R2,883 Discovery Miles 28 830 Ships in 10 - 15 working days

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.

Minkowski Spacetime: A Hundred Years Later (Paperback, 2010 ed.): Vesselin Petkov Minkowski Spacetime: A Hundred Years Later (Paperback, 2010 ed.)
Vesselin Petkov
R2,895 Discovery Miles 28 950 Ships in 10 - 15 working days

This volume is dedicated to the one hundredth anniversary of the publication of Hermann Minkowski's paper "Raum und Zeit" in 1909 [1]. The paper presents the textofthetalkMinkowskigaveatthe80thMeetingoftheGermanNaturalScientists and Physicians in Cologne on September 21, 1908. Minkowski's work on the spacetime representation of special relativity had a huge impact on the twentieth century physics, which can be best expressed by merely stating what is undeniable - that modern physics would be impossible wi- out the notion of spacetime. It is suf cient to mention as an example only the fact that general relativity would be impossible without this notion; Einstein succeeded to identifygravitywith the curvatureofspacetime onlywhen he overcamehis initial hostile reactionto Minkowski'sfour-dimensionalrepresentationof special relativity and adopted spacetime as the correct relativistic picture of the world. While there exists an unanimous consensus on the mathematical signi cance of spacetime for theoretical physics, for a hundred years there has been no consensus on the nature of spacetime itself. The rst sign of this continuing controversy was Sommerfeld's remark in his notes on Minkowski's article [2]: "What will be the epistemologicalattitudetowardsMinkowski'sconceptionofthetime-spaceproblem is another question, but, as it seems to me, a question which does not essentially touch his physics".

Relativity and the Nature of Spacetime (Paperback, Softcover reprint of hardcover 2nd ed. 2009): Vesselin Petkov Relativity and the Nature of Spacetime (Paperback, Softcover reprint of hardcover 2nd ed. 2009)
Vesselin Petkov
R1,778 Discovery Miles 17 780 Ships in 10 - 15 working days

Puts the emphasis on conceptual questions: Why is there no such thing as absolute motion? What is the physical meaning of relativity of simultaneity? But, the most important question that is addressed in this book is "what is the nature of spacetime?" or, equivalently, "what is the dimensionality of the world at the macroscopic level?"

Develops answers to these questions via a thorough analysis of relativistic effects and explicitly asking whether the objects involved in those effects are three-dimensional or four-dimensional.

Discusses the implication of the result (this analysis clearly shows that if the world and the physical objects were three-dimensional, none of the kinematic relativistic effects and the experimental evidence supporting them would be possible) for physics, philosophy, and our entire world view are discussed.

Relativity and the Dimensionality of the World (Paperback, Softcover reprint of hardcover 1st ed. 2007): Vesselin Petkov Relativity and the Dimensionality of the World (Paperback, Softcover reprint of hardcover 1st ed. 2007)
Vesselin Petkov
R2,874 Discovery Miles 28 740 Ships in 10 - 15 working days

All physicists would agree that one of the most fundamental problems of the 21st century physics is the dimensionality of the world. In the four-dimensional world of Minkowski (or Minkowski spacetime) the most challenging problem is the nature of the temporal dimension. In Minkowski spacetime it is merely one of the four dimensions, which means that it is entirely given like the other three spacial dimensions. If the temporal dimension were not given in its entirety and only one constantly changing moment of it existed, Minkowski spacetime would be reduced to the ordinary three-dimensional space.

But if the physical world, represented by Minkowski spacetime, is indeed four-dimensional with time being the fourth dimension, then such a world is drastically different from its image based on our perceptions. Minkowski four-dimensional world is a block Universe, a frozen world in which nothing happens since all moments of time are given at once', which means that physical bodies are four-dimensional worldtubes containing the whole histories in time of the three-dimensional bodies of our everyday experience. The implications of a real Minkowski world for physics itself and especially for our world view are enormous.

The main focus of this volume is the question: is spacetime nothing more than a mathematical space (which describes the evolution in time of the ordinary three-dimensional world) or is it a mathematical model of a real four-dimensional world with time entirely given as the fourth dimension? It contains fourteen invited papers which either directly address the main question of the nature of spacetime or explore issues related to it."

A Survey of Physics - A Collection of Lectures and Essays (Paperback): Vesselin Petkov A Survey of Physics - A Collection of Lectures and Essays (Paperback)
Vesselin Petkov; Max Planck
R483 Discovery Miles 4 830 Ships in 10 - 15 working days
Our Understanding of Matter and the Universe (Paperback): Vesselin Petkov Our Understanding of Matter and the Universe (Paperback)
Vesselin Petkov; Erwin Schroedinger
R480 Discovery Miles 4 800 Ships in 10 - 15 working days
Space-Time-Matter (Paperback): Vesselin Petkov Space-Time-Matter (Paperback)
Vesselin Petkov; Translated by Henry L Brose; Hermann Weyl
R689 Discovery Miles 6 890 Ships in 10 - 15 working days
Research on the Theory of Quanta (Paperback): Vesselin Petkov Research on the Theory of Quanta (Paperback)
Vesselin Petkov; Translated by Andre Michaud, Fritz Lewertoff
R487 Discovery Miles 4 870 Ships in 10 - 15 working days
The Origin of Spacetime Physics (Paperback): Vesselin Petkov The Origin of Spacetime Physics (Paperback)
Vesselin Petkov; Vesselin Petkov
R613 Discovery Miles 6 130 Ships in 10 - 15 working days
Scientific Autobiography and Selected Lectures on Theoretical Physics (Paperback): Vesselin Petkov Scientific Autobiography and Selected Lectures on Theoretical Physics (Paperback)
Vesselin Petkov; Max Planck
R504 Discovery Miles 5 040 Ships in 10 - 15 working days
The Mysterious Universe (Paperback): Vesselin Petkov The Mysterious Universe (Paperback)
Vesselin Petkov; James Jeans
R474 Discovery Miles 4 740 Ships in 10 - 15 working days
Lectures on Physics and the Nature of Scientific Knowledge (Paperback): Vesselin Petkov Lectures on Physics and the Nature of Scientific Knowledge (Paperback)
Vesselin Petkov; Erwin Schroedinger
R462 Discovery Miles 4 620 Ships in 10 - 15 working days
The Universe in the Light of Modern Physics (Paperback): Vesselin Petkov The Universe in the Light of Modern Physics (Paperback)
Vesselin Petkov; Max Planck
R475 Discovery Miles 4 750 Ships in 10 - 15 working days
Spacetime - Minkowski's Papers on Spacetime Physics (Paperback): Vesselin Petkov Spacetime - Minkowski's Papers on Spacetime Physics (Paperback)
Vesselin Petkov; Hermann Minkowski
R517 Discovery Miles 5 170 Ships in 10 - 15 working days
The Foundations of Geometry - Works on Non-Euclidean Geometry (Paperback): Vesselin Petkov The Foundations of Geometry - Works on Non-Euclidean Geometry (Paperback)
Vesselin Petkov; Nikolai I Lobachevsky
R506 Discovery Miles 5 060 Ships in 10 - 15 working days
Relativity (Paperback): Vesselin Petkov Relativity (Paperback)
Vesselin Petkov; Albert Einstein
R492 Discovery Miles 4 920 Ships in 10 - 15 working days
Space, Time and Gravitation - An Outline of the General Relativity Theory (Paperback): Vesselin Petkov Space, Time and Gravitation - An Outline of the General Relativity Theory (Paperback)
Vesselin Petkov; Arthur S. Eddington
R492 Discovery Miles 4 920 Ships in 10 - 15 working days
The Mathematical Theory of Relativity (Paperback): Vesselin Petkov The Mathematical Theory of Relativity (Paperback)
Vesselin Petkov; Arthur S. Eddington
R558 Discovery Miles 5 580 Ships in 10 - 15 working days
The World as Space and Time (Paperback): Vesselin Petkov The World as Space and Time (Paperback)
Vesselin Petkov; Alexander a. Friedmann
R436 Discovery Miles 4 360 Ships in 10 - 15 working days

This is the first English translation of the book The World as Space and Time written by the great Russian physicist Alexander Friedmann who first showed in 1922 that Einstein's equations have solutions that describe a non-stationary Universe (later the experimental evidence did confirm that the Universe is expanding). The original Russian publication was in 1923. The book is one of the first introductions to the spacetime physics of the theory of relativity for a wider audience. Friedmann had succeeded in both making the book accessible to non-experts and providing rigorous explanations.

Papers On Curved Spaces and Cosmology (Paperback): Vesselin Petkov Papers On Curved Spaces and Cosmology (Paperback)
Vesselin Petkov; Alexander a. Friedmann
R394 Discovery Miles 3 940 Ships in 10 - 15 working days
From Illusions to Reality - Time, Spacetime and the Nature of Reality (Paperback): Vesselin Petkov From Illusions to Reality - Time, Spacetime and the Nature of Reality (Paperback)
Vesselin Petkov
R465 Discovery Miles 4 650 Ships in 10 - 15 working days

The greatest mystery in the world is its very existence. In our intellectual development, we all reach a turning point when we start asking the perennial existential questions: "What is the world?"; "What am I?"; "What is the meaning of the existence of the world and myself?." As the German philosopher Schopenhauer put it: "The lower a man stands in intellectual respects the less of a riddle does existence seem to him... but, the clearer his consciousness becomes the more the problem grasps him in its greatness." This book explores what fundamental physics tells us about the physical world and how the scientific picture of what exists often differs disturbingly from the "common sense" view based on the way our senses reflect the world. Centuries-old illusions are identified by showing that they contradict experimentally-confirmed results of modern physics, which clears the way toward deeper understanding of reality. The greatest illusion that the world exists only at the present moment of time has been realized by many great thinkers, but so far the human race has been unable to free itself from it, prompting Einstein to write this: "the distinction between past, present and future is only a stubbornly persistent illusion." Getting rid of such stubbornly persistent illusions by open-mindedly examining the implications of modern physics for the physical world can help us rise above the fog of everyday life and see Nature the way she herself is.

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