Derivation of the time dilatation effect from fundamental properties of photons
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Linzer Universitatsschriften Monographien
Roland Pabisch Derivation of the time dilatation effect from fundamental properties of photons
1999
SpringerWienNewYork
Dr. phil. Roland Pabisch
Johannes Kepler Universitat Linz A-4040 LinzlDonau Privat: Kuhn 1B A-4203 Altenberg bei Linz e-mail: [email protected]
Alle Rechte vorbehalten. Kein Teil dieses Buchs dad olme schriftliche Genehmigung des Linzer Universitatsschriften-Vereins iibersetzt oder in irgendeiner Form vervielfaltigt werden. © June 1999 by Linzer Universitatsschriften-Verein
ISSN 0720-8790 ISBN-13:978-3-211-83153-3 e -ISBN-13:978-3-7091-9483- 6 DOl: 10.1007/978-3-7091-9483-6
Derivation of the time dilatation effect from fundamental properties of photons
Derivation of the time dilatation effect from fundamental properties of photons
Abstract
-I-
I.
Introduction
-4-
IT.
Violation of local Lorentz invariance
-19-
IT. A.
Definitions
-20-
II.B.
Reciprocity relation of the relative velocities and symmetry relation of the functional form of the transformation parameter
H.C.
-25-
Evaluation of experimental evidence of the principal nonequivalence of all inertially moving frames
-30-
III.
Universal anisotropy and inhomogeneity of space
-43-
IV.
Fundamental properties of photons as cause of the time dilatation effect
IV.A. Definitions
-48-48-
IV.B. The absolute velocity vector of photons in the fundamental frame
-50-
Derivation of the time dilatation effect from fundamental properties of photons
IV.C
The synchrotron effect formula
in the fundamental frame
-54-
IV.D. The general time dilatation and length contraction formulas in the fundamental frame
-57-
V.
-64-
Summary
Literature
-76-
Derivation of the time dilatation effect from fundamental properties of photons
Derivation of the time dilatation effect from fundamental properties of photons
ABSTRACT
An axiomatic approach is proposed which allows to derive the
effects of synchrotron radiation, time dilatation, length contraction and mass variation exclusively from fundamental properties of photons. The light deflection and time dilatation effects in a gravitational field can be deduced from these properties as well. A dynamic instead of a kinematic approach is regarded as necessary, since from all relevant experiments it follows that the elapsed time of an atomic clock depends on its momentary preferred velocity w(t) in a respective test frame I, and not on arbitrary relative velocities v(t). From all points of view only ordered, nonforminvariant relations of finite time intervals between inertially or arbitrarily moving reference frames are measured, particularly between all clocks moving at absolute velocities u(to) in the universal standard rest frame 1:0 which can be defined by the frame
2
Derivation of the time dilatation effect from fundamental properties of photons
where the dip
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