Einstein's Theories of Relativity and Gravitation
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English
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PREFACE
Table of Contents
Table of Contents
I. THE EINSTEIN $5,000 PRIZE
The Donor and the Prize
The Judges
Three Thousand Words
The Competing Essays
Looking for the Winner
The Winner of the Prize
II. THE WORLD—AND US
Getting Away from the Greek Ideas
Relativism and Reality
Laws of Nature
Concepts and Realities
The Concepts of Space and Time
The Reference Frame for Space
Time and the Coordinate System
The Choice of a Coordinate Frame
III THE RELATIVITY OF UNIFORM MOTION
Who Is Moving?
Mechanical Relativity
The Search for the Absolute
The Ether and Absolute Motion
The Earth and the Ether
A Journey Upstream and Back
The Michelson-Morley Experiment
The Verdict
The “Contraction” Hypothesis
Taking the Bull by the Horns
Questions of Common Sense
Shifting the Mental Gears
IV THE SPECIAL THEORY OF RELATIVITY
Light and the Ether
The Measurement of Time and Space
The Problem of Communication
An Einsteinian Experiment
Who Is Right?
The Relativity of Time and Space
Relativity and Reality
Time and Space in a Single Package
Some Further Consequences
Assumption and Consequence
Relativity and the Layman
Physics vs. Metaphysics
V THAT PARALLEL POSTULATE
Terms We Cannot Define
Laying the Foundation
The Rôle of Geometry
What May We Take for Granted?
And What Is It All About?
Euclid’s Geometry
Axioms Made to Order
Locating the Discrepancy
What the Postulate Really Does
The Geometry of Surfaces
Euclidean or Non-Euclidean
VI THE SPACE-TIME CONTINUUM
The Four-Dimensional World of Events
A Continuum of Points
The Continuum in General
Euclidean and Non-Euclidean Continua
Our World of Four Dimensions
The Curvature of Space-Time
The Question of Visualization
What It All Leads To
VII RELATIVITY
The Mechanical Principle of Relativity
The Special Principle of Relativity
The Four Dimensional Continuum
Gravitation and Acceleration
The General Principle of Relativity
VIII THE NEW CONCEPTS OF TIME AND SPACE
A World of Points
The Four-Dimensional World of Events
Successive Steps Toward Generality
Gravitation and Acceleration
Einstein’s Time-Space World
The Layman’s Last Doubt
IX THE PRINCIPLE OF RELATIVITY
The Behavior of Light
Space and Time
The World of Reality
Accelerated Motion
X SPACE, TIME AND GRAVITATION
The External World and its Geometry
Gravitation and its Place in the Universe
Gravitation and Space-Time
XI THE PRINCIPLE OF GENERAL RELATIVITY
Gravitation and Acceleration
Paths Through the World of Four Dimensions
The Universe of Space-Time
XII FORCE VS. GEOMETRY
The Relativity of Uniform Motion
Universal Relativity
The Geometry of Gravitation
XIII AN INTRODUCTION TO RELATIVITY
The Electromagnetic Theory of Light
The Michelson-Morley Experiment
The Lorentz Transformation
The First Theory of Relativity
The Inclusion of Gravitation
XIV NEW CONCEPTS FOR OLD
The World-Frame
The World-Fabric
Einstein’s Results
XV THE NEW WORLD
The World Geometry
The Genesis of the Theory
The Time Diagram
XVI THE QUEST OF THE ABSOLUTE
The Gravitational Hypothesis
The Special Relativity Theory
XVII THE PHYSICAL SIDE OF RELATIVITY
XVIII THE PRACTICAL SIGNIFICANCE OF RELATIVITY
The Special Theory and Its Surprising Consequences
The Generalization
The Tests
XIX EINSTEIN’S THEORY OF RELATIVITY
XX EINSTEIN’S THEORY OF GRAVITATION
XXI THE EQUIVALENCE HYPOTHESIS
XXII THE GENERAL THEORY
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