Paradoxes In The Theory Of Relativity

Paradoxes in the Theory of Relativity

That Einstein's insight was profound goes without saying. A strildng indication of its depth is the abundance of unexpected riches that others have found in his work - riches reserved for those daring to give serious attention to implications that at first sight seem unphysical. A famous instance is that of the de Broglie waves. If, in ac cordance with Fermat's principle, a photon followed the path of least time, de Broglie felt that the photon should have some phys ical means of exploring alternative paths to determine which of them would in fact require the least time. For this and other rea sons, he assumed that the photon had a nonvanishing rest mass, and, in accordance with Einstein's E = h v, he endowed the photon with a spread-out pulsation of the form A Sin(27TEt/h) in the photon's rest frame. According to the theory of relativity such a pulsation, every where simultaneous in a given frame, seemed absurd as a physical entity. Nevertheless de Broglie took it seriously, applied a Lorentz transformation in the orthodox relativistic tradition, and found that the simultaneous pulsation was transformed into a wave whose phase velocity was finite but greater than c while its group velocity was that of the particle. By thus pursuing Einsteinian concepts into thickets that others had not dared to penetrate, de Broglie laid the brilliant foundations of wave mechanics.

Paradoxes in the Theory of Relativity

All the relativistic temporal paradoxes are completely false

This work demonstrates, in a scientifically rigorous way, that all the relativistic temporal paradoxes are completely false. In particular, this treatment, by starting from the relativisticly correct definition of time, demonstrates the falsity of the Twin Paradox by means of proving from every relativistic point of view that in no case is one twin not so old as the other twin. Moreover, this work, by starting from the relativisticly correct definition of time, demonstrates in general the impossibility of the temporal paradoxes, both in the field of application of the Special Theory of Relativity and in the field of application of the General Theory of Relativity, since all the alleged relativistic temporal paradoxes are based only on erroneous definitions of time. On the other hand, this treatment shows that time is completely independent both from any velocity of physical bodies and from any physical forces. Finally, this work demonstrates that also the possibility of using two Lorentzian Theories instead of the two Einsteinian Theories of Relativity entails that all the temporal paradoxes in the field of application of relativistic physics are completely false.