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Citations since 2017
3 Research Items
The cause of incompatibility between the Lorentz transformation and the classical definition of rigid bodies in translational motion is the synchronisation condition of clocks of inertial frames. By changing this condition it is possible: a) To break out this incompatibility within the framework of SR preserving the local covariance of the Lorentz...
By making a simple change in the synchronism condition of the clocks of the inertial frames, the Lorentz transformation can be applied without any problem to the translational motion of extended bodies. As a consequence of this change, it is necessary to incorporate a preferred frame into the kinematic analysis.
This paper sets out a kinematic analysis of the precession movements and explains a paradoxical situation in the theory of relativity. This study is made within the framework of special relativity and using a simple methodology, without reference to the POLT decomposition theorem.
This paper sets out a kinematic analysis of the Thomas precession. The study is made within the framework of special relativity and using a simple methodology. It shows in a clear manner how the Thomas precession is related to relativity of simultaneity.
Se presenta un análisis cinemático de los movimientos de precesión que explican algunas situaciones paradójicas de la teoría de la relatividad. El estudio se hace dentro del marco de la relatividad especial y siguiendo una metodología sencilla, sin hacer referencia al teorema de la descomposición de POLT.
Grupo de investigación BIBITE - Biomateriales, Biomecánica e Ingeniería de Tejidos CREB - Centro de Investigación en enginyeria Biomédica CRNE - Centro de Investigación en Nanoingenieria
A rigid body with vertical proper length J rises along the Y direction in an inertial frame S(T,X,Y) with constant proper acceleration, therefore me may write the equation of hyperbolic motion of the body along the Y direction as:
1) J2 = Y2 - c2 T2
Using Born´s definition of rigidity, the proper length “J” must be invariant under Lorentz transformations between instant commoving inertial frames where the proper length (squared) J2 coincides with the line element (squared) along the Y direction: Y2 - c2 T2. It is straightforward to see that this is the case just for boosts along the Y direction. If the velocity of the body and its inertial commoving frames have an aditional constant component along the X direction, the line element is different, the vertical length J cannot be invariant in the inertial comoving frames and we get a violation of Born´s rigidity.