Physics
Scientific paper
Apr 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ncimb..74..199r&link_type=abstract
Nuovo Cimento B, Serie 11, vol. 74 B, April 11, 1983, p. 199-211. Research supported by the Conselho Nacional de Pesquisas.
Physics
1
Lorentz Contraction, Paradoxes, Relativistic Velocity, Relativity, Standards, Universe, Acceleration (Physics), Clocks, Inertial Reference Systems, Length, Light Transmission, Metrology, Rotating Disks, Stress-Strain Relationships
Scientific paper
Length contraction is examined in terms of the Lorentz contraction in order to study the possibility of the existence of a rigid bar in relativity and to find an acceptable solution to the Ehrenfest paradox. The paradox questions the perceived shape of a disk rotating at relativistic speeds in the same inertial frame as a comoving observer. It is shown that the contraction effect will not be seen if adjacent particles in the same rest frame are accelerated at the same amount simultaneously. A non-Euclidean geometrical formulation is defined for the spatial geometry of the rotating disk. The impossibility of accelerating any two points on the circumference of the disk at the same rate is noted. The Lorentz contraction can therefore not occur, and this is taken as an illustration of the difference between the kinematical Lorentz contraction and the Einstein contraction, which considers the interaction of material bodies with the vacuum-state of the universe. A stress-strain calculation is performed for the rotating disk, and it is concluded that no kinematical explanation is available for the Ehrenfest paradox, because physical quantities must be considered.
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