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Ekkehard Friebe Ekkehard Friebe ist männlich

Dabei seit: 23.11.2005
Beiträge: 1154

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So allm?hlich scheinen auch die Herren im CERN - Genf (Schweiz) aufzuwachen und zu erkennen, da? Forschung ein eigenst?ndiges Denken erfordert, um als Wissenschaft gelten zu k?nnen. Der ?Glaube an die Unfehlbarkeit der Mathematik? allein gen?gt da nicht.

Hierzu verweise ich auf folgenden, 25-seitigen Beitrag vom Mai 2008:

A sign error in the Minkowski space-time plot and its consequences
by J. H. Field, D?epartement de Physique Nucl?eaire et Corpusculaire Universit?e de Gen?ve . 24, quai Ernest-Ansermet CH-1211 Gen?ve 4.

Nachstehend bringe ich Ausz?ge hieraus:



A sign error in an angle while drawing the original Minkowski plot has persisted
for a century in text books and the pedagogical literature. When it is corrected, the
?length contraction? effect derived from the geometry of the plot disappears. It is
also shown how the ?relativity of simultaneity? effect that has been derived from the
plot results from a lack of correspondence between certain geometrical projections
on the plot and the properties of the physical system ?two spatially separated
and synchronised clocks in a common inertial frame? that they are purported to
PACS 03.30.+p

1 Introduction

Errors, originating in Einstein?s 1905 special relativity paper (1), in the standard text book interpretation of the physics of the space-time Lorentz transformation (LT), have been pointed out in a series of recent papers by the present author (2, 3, 4). In these papers it is shown that the ?length contraction? and ?relativity of simultaneity? effects, derived directly from the LT, are spurious, resulting from a failure to include important additive constants in the equations. Einstein pointed out the necessity to include such constants, to correctly describe synchronised clocks, in Ref. (1), but never actually did so himself. Since the demonstration of the spurious nature of the effects is simple, straightforward and brief, it is recalled, for the reader?s convenience, in the following section of the present paper.

The remainder of this paper is devoted to a discussion of the physics of the Minkowski space-time plot. In his original ?space-time? paper (5) Minkowski derived a ?length contraction? effect from the geometry of the plot without considering directly the LT. Similar derivations are to be found in many text books on special relativity or classical electromagnetism. In Section 3, the projective-geometrical properties of the space-time plot are derived from the LT. In Section 4, Minkowski?s original derivation of ?length contraction? is reviewed, and shown to result from an erroneous assumption concerning the direction of the world line of the considered, uniformly moving, object. In fact, the world line corresponding to Minkowski?s choice of x′ and t′ axes is x = −vt, whereas it is assumed to be x = vt and therefore to lie along the t′ axis. The same mistake is made in all (with, to the present writer?s best knowledge, a single exception) text-book treatments of the problem. Some examples are discussed in Section 5. Also discussed in Section 5 is the fortuitously correct derivation of time dilatation from the standard, incorrect, Minkowski plot, as well as the illusory nature of the ?relativity of simultaneity? effect suggested by superficial inspection of the plot. This error is not, as in the case of ?length contraction?, the result of a trivial geometrical mistake, but arises from a naive interpretation of purely mathematical projection operations on the plot that are unrelated to the basic physics of the problem ?observation in different inertial frames of events of two spatially-separated and synchronised clocks. Section 6 contains a brief summary.


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A sign error in the Minkowski space-time plot and its consequences

Beste Gr??e Ekkehard Friebe

30.08.2008 11:56 Ekkehard Friebe ist offline Email an Ekkehard Friebe senden Homepage von Ekkehard Friebe Beiträge von Ekkehard Friebe suchen Nehmen Sie Ekkehard Friebe in Ihre Freundesliste auf
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