The Special Theory Relativity PDF พิมพ์

Contents

Part I

The Special Theory Relativity

บทที่   หน้า
I Physical Meaning Geometrical Propositions I
II The System of Co-ordinates 5
III Space and Time in Classical Mechanics 9
IV The Galileian System of Co-ordinates II
V The Principle of Relativity (in the Restricted Sense) I2
VI The Theorem of the Addition of Velocities employed in Classical Mechanics I6
VII Apparent Incompatibility of the Law of Propagation of Light with the Principle of Relativity I7
VIII On the Idea of Time in Physics 2I
IX The Relativity of Simultaneity 25
X On the Relativity of the Conception of Distance 28
XI The Lorentz Transformation 30
XII The Behaviour of Measuring-Rods and Clocks in Motion 35
XIII Theorem of  the Additin of Velocities. The Experiment of Fizeau 38
XIV The Heuristic Value of the Theory of Relativity 42
XV General Results of the Theory 44
XVI Experiment and the Spectial Theory of Relativity 49
XVII Minkowski's Four-dimensional Space 55
Part II

The General Theory of Relativity

XVIII Spectial and General Principle of Relativity 59
XIX The Gravitational Field 63
XX The Equality of Inertial and Gravitational Mass  as an Argument for the General Postulate of Relativity 66
XXI In what  Respects are the Foundations of Classical Mechanics and of the Spectial Theory of Relativity unsatisfactory? 7I
XXIII Behaviour of Clocks and Measuring-Rods on  a Rotating Body of Reference 79
XXIV Euclidean and non-Euclidean Continuum 83
XXV Gaussian Co-ordinates 87
XXVI The Space-time Continuum of the Special Theory of Relativity considered as a Euclidean Continuum 9I
XXVII The Space-time Continuum of the General Theory of Relativity is not a Euclidean Continuum 93
XXVIII Exact Formulation of the General Principle of Relativity 97
XXIX The Solution of the Problem of Gravitation on the Basis of The General Principle of Relativity I00
Part III

Considerations on the universe as whole

XXX Cosmological Difficulties of Newton's Theory I05
XXXI The Possibility of a "Finite" and yet "Unbound" Universe I08
XXXII The Structure of Space according to the General Theory of Relativity II3
APPENDICES
I Simple Derivation of the Lorentz Tranformation II5
II Minkowski's Four-dimensional Space ("World") (Supplementary to Section XVII) I2I
III The Experiment Confirmation of the General Theory of Relativity I23
  (a) Motion of the Perihelion of Mercury I24
  (b) Deflection of Light by a Gravitation Field I26
  (c) Displacement of Spectral Lines towards the Red I29
IV The Structure of Spaces [Supplementary to Section XXXII] I33
V Relativity and the Problem of Sapace I35
  BIBLIOGRAPHY I59
  INDEX I6I


 



 
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