The Correspondence Principle requires that the Lorentz transformation reduce to the Galilean transformation at low velocities. But Gedanken experiments over large distances reveal that the Correspondence Principle cannot hold everywhere, because the time part of the Lorentz transformation involves a term ?x , and x can always be chosen large enough to compensate for small ?. The behavior of the Lorentz transformation at large distances from the origin is decidedly non-Galilean, even at low velocities.
The definition of simultaneity proposed by Einstein has largely remained unchallenged despite the fact that it is logically circular. This paper introduces a new definition of simultaneity and explores the consequences of this new definition for the Special Theory of Relativity. The most important facet of the new definition will be that it is manifestly frame independent and this will lead to a proof that the postulates of relativity are inconsistent.
An important aspect of relativity's understanding of the Trouton-Noble experiment is the introduction of mechanical torques to balance the predicted electromagnetic torques. This aspect is shown to be experimentally invalid since mechanical torques would result in easily observable precessions in gyroscopes.