Proof of Internal Contradictions in the Lorentz Transformation: The End of Space-time Mixing

A simple example is considered which shows that the Lorentz transformation (LT) is physically invalid because it leads to the conclusion that clock rates depend on the speeds of distant objects.
This lack of internal consistency in relativity theory is traced to an undeclared assumption Einstein made regarding a normalization factor appearing in his original derivation of the LT.
An alternative Lorentz transformation (GPS-LT) is obtained by replacing this false assumption with another that demands that a strict proportionality exists between the rates of clocks in different inertial systems, exactly as is assumed in the methodology of the Global Positioning System (GPS). The GPS-LT is consistent with all known experimental observations as well as with Einstein's relativistic velocity transformation (RVT). The success of the GPS-LT in removing the inherent contradictions of the LT demonstrates that Einstein's famous position that
space and time are inextricably mixed is fundamentally in error. The relativity principle (RP) when applied to the Ives-Stilwell transverse Doppler experiment and the muon decay studies is also shown to prove that Fitzgerald-Lorentz length contraction (FLC) does not occur in nature and that the dimensions of accelerated objects actually increase by the same fraction in all directions as the rates of clocks are slowed, i.e. isotropic length expansion accompanies time dilation in a given rest frame. The GPS-LT is also consistent with Newtonian absolute remote
simultaneity and does away with Einstein's symmetry principle whereby two clocks in relative motion can supposedly both be running slower than each other at the same time. The accompanying theory restores the principle of objectivity of measurement that was universally believed until the dawn of the 20th century.


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