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Relativity and the Nature of Spacetime [Kietas viršelis]

  • Formatas: Hardback, 306 pages, aukštis x plotis x storis: 235x155x19 mm, weight: 608 g, 60 black & white illustrations, 20 black & white halftones, 40 black & white line drawings
  • Serija: The Frontiers Collection
  • Išleidimo metai: 23-May-2005
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540238891
  • ISBN-13: 9783540238898
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 306 pages, aukštis x plotis x storis: 235x155x19 mm, weight: 608 g, 60 black & white illustrations, 20 black & white halftones, 40 black & white line drawings
  • Serija: The Frontiers Collection
  • Išleidimo metai: 23-May-2005
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540238891
  • ISBN-13: 9783540238898
Kitos knygos pagal šią temą:
The most important question addressed in this book is "what is the nature (the ontological status) of spacetime?" or, equivalently, "what is the dimensionality of the world at the macroscopic level?" The answer to this question is developed via a thorough analysis of relativistic effects and explicitly asking whether the objects involved in those effects are three-dimensional or four-dimensional. 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. The implications of this result for physics, philosophy, and our entire world view are discussed.

What is the nature of spacetime? This book develops the answer to this question via a thorough analysis of relativistic effects and explicitly asking whether the objects involved in those effects are three-dimensional or four-dimensional.
Introduction
1(12)
Part I From Galileo to Minkowski
On the Impossibility of Detecting Uniform Motion
13(16)
Aristotle's View on Motion
14(2)
Copernicus and Ptolemy's Arguments Against the Earth's Motion
16(1)
Galileo's Disproof of Aristotle's View on Motion
17(8)
Galileo's Principle of Relativity
25(4)
Exploring the Internal Logic of Galileo's Principle of Relativity
29(26)
On the Physical Meaning of Galileo's Principle of Relativity
30(18)
On the Two Postulates of Special Relativity
48(3)
A Lesson from a Delayed Discovery
51(2)
Summary
53(2)
Relativity in Euclidean Space and in Spacetime
55(66)
Spacetime
56(14)
Derivation of the Lorentz Transformations
70(8)
Four-Dimensional Distance and Three Kinds of Length
78(6)
Y `Dilation' in Euclidean Space and Time Dilation in Spacetime
84(7)
Length Contraction in Euclidean Space and in Spacetime
91(7)
The Twin Paradox in Euclidean Space and in Spacetime
98(7)
Addition of Velocities
105(1)
The Metric of Spacetime
106(1)
On Proper and Coordinate Time
107(4)
Four-Velocity, Four-Momentum, and Relativistic Mass
111(5)
Summary
116(5)
Part II On the Nature of Spacetime: Conceptual and Philosophical Issues
Relativity and the Dimensionality of the World: Spacetime Is Real
121(34)
Has Special Relativity Posed the Greatest Intellectual Challenge to Humankind?
122(1)
Relativity and Dimensionality of the World
123(11)
Length Contraction
134(5)
Time Dilation
139(3)
Relativization of Existence and the Twin Paradox
142(4)
Why Is the Issue of the Nature of Spacetime So Important?
146(7)
Conventionality of Simultaneity
146(1)
Temporal Becoming
147(1)
Flow of Time and Consciousness
148(4)
Free Will
152(1)
Summary
153(2)
Quantum Mechanics and the Nature of Spacetime
155(16)
Quantum Mechanical Arguments Against the Reality of Spacetime
157(1)
Is Quantum Mechanical Probability Objective?
158(2)
The Nature of the Quantum Object and the Nature of Spacetime
160(8)
Summary
168(3)
The Nature of Spacetime and Validity of Scientific Theories
171(20)
Reliability of Knowledge: Induction as Hidden Deduction
172(5)
Correspondence Principle and Growth of Scientific Knowledge
177(3)
Can an Accepted Scientific Theory Be Refuted?
180(2)
Is a Final Scientific Theory Possible?
182(1)
Summary
182(9)
Part III Spacetime, Non-Inertial Reference Frames, and Inertia
Propagation of Light in Non-Inertial Reference Frames
191(34)
Acceleration Is Absolute in Special and General Relativity
191(2)
The Need for Two Average Velocities of Light in Non-Inertial Reference Frames
193(4)
Average Coordinate Velocity of Light
197(4)
Average Proper Velocity of Light
201(10)
Shapiro Time Delay
211(2)
On the Gravitational Redshift
213(6)
The Sagnac Effect
219(3)
Summary
222(3)
Calculating the Electric Field of a Charge in a Non-Inertial Reference Frame
225(18)
Calculating the Potential of a Charge in a Non-Inertial Reference Frame
225(4)
Common Physical Origin of the Lienard--Wiechert Potentials and the Potentials of a Charge in a Non-Inertial Reference Frame
229(8)
Calculating the Electric Field of a Charge in a Non-Inertial Reference Frame
237(4)
Summary
241(2)
Inertia as a Manifestation of the Reality of Spacetime
243(30)
Are Inertial Forces Real?
244(2)
Inertial Forces Originate from a Four-Dimensional Stress Arising in the Deformed Worldtubes of Non-Inertial Bodies
246(6)
Electromagnetic Mass and Inertia of the Classical Electron
252(10)
The Standard Model and Inertia
262(9)
Summary
271(2)
A Classical Electromagnetic Mass Theory and the Arguments Against It 273(4)
B Calculation of the Self-Force 277(4)
References 281(6)
Index 287