By Silvan S. Schweber
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Extra resources for An Introduction to Relativistic Quantum Field Theory
In Part II we shall see in what way this result becomes modified in the general theory of relativity. 1 As judged from a co-ordinate system moving with the body. 41 XVI EXPERIENCE AND THE SPECIAL THEORY OF RELATIVITY T O what extent is the special theory of relativity supported by experience? This question is not easily answered for the reason already mentioned in connection with the fundamental experiment of Fizeau. The special theory of relativity has crystallised out from the Maxwell-Lorentz theory of electromagnetic phenomena.
Namely, if the man in the carriage covers the distance w in a unit of time—measured from the train,—then this distance—as measured from the embankment—is not necessarily also equal to w. 24 XI THE LORENTZ TRANSFORMATION T HE results of the last three sections show that the apparent incompatibility of the law of propagation of light with the principle of relativity (Section VII) has been derived by means of a consideration which borrowed two unjustifiable hypotheses from classical mechanics; these are as follows: (1) The time-interval (time) between two events is independent of the condition of motion of the body of reference.
1 34 theory of relativity, for the electrodynamics of Maxwell-Lorentz, on which the original theory was based, in no way opposes the theory of relativity. Rather has the latter been developed from electrodynamics as an astoundingly simple combination and generalisation of the hypotheses, formerly independent of each other, on which electrodynamics was built. 35 XIV THE HEURISTIC VALUE OF THE THEORY OF RELATIVITY O UR train of thought in the foregoing pages can be epitomised in the following manner.