Axiomatization of the Theory of Relativity

Front Cover
University of California Press, 1969 - Relativity (Physics) - 208 pages
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

The logical status of the axioms
3
The logical status of the definitions
7
Provisional remarks concerning the results of the axiomatization
13
Coincidence
16
SPECIAL THEORY OF RELATIVITY
23
The Axioms and the Construction of the Metric 5 The concepts of real point and signal
25
Axioms of time order
28
Axioms of the comparison of time
31
Definition of simultaneity by means of a velocity less than that of light
128
Consistency minimal character and independ ence of the axioms
129
GENERAL THEORY OF RELATIVITY
131
The Axioms and the Construction of the Metric 30 Preliminary mathematical remarks concerning the metric in infinitesimal regions
133
The conservation transformations in infinitesimal regions
136
Content of the general theory
141
The spacetime axioms of the general theory
142
The validity of axiom X1 1
144

Spatial neighborhood and the comparison of neighboring clocks
40
Fermats axiom
42
Axiom of stationarity
43
The roundtrip axiom
49
The spacemetrical light axiom
51
Proof of the uniqueness of definition 12 of the relative rest of real points
54
Uniformly moving systems
66
The Lorentz transformation
71
The state of motion of inertial systems
76
Summary of the requirements contained in the Lorentz transformation
83
Material metrical objects
86
The matter axioms
88
Critical Considerations 20 The experimental confirmation of the axioms
92
Remark on the principle of the constancy of the velocity of light
94
Absolute time
96
Absolute transport time
97
The transverse Doppler effect
108
Absolute signal time
113
Unreal signals
117
Two more attempts at a definition of absolute time
123
The validity of axiom X1 2
145
Light geometry in a gravitational field
151
The characteristic length of a unitmeasuring rod
155
The construction of the metric in the general case
157
Integral Properties 39 The problem
160
Static fields
161
A time definition whose unit is transportable
167
Red shift deflection of light perihelion of Mercury
168
Stationary fields
170
The rotating circular disk
172
Stationary fields Continuation
178
Real systems
179
The validity of axioms I and II in real systems
185
The most general admissible systems
192
List of Axioms
197
List of Definitions
199
List of Theorems
201
Reference Notes
202
Index
205
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information