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#The lack of useful devices developed based on any insights provided by the theory; no lives have been saved or helped, other than the enabling of modern GPS devices, and the theory has not led to other useful theories and may have interfered with scientific progress.<ref group="note">Contrary to the claims of Relativists, the GPS system has never been based on Relativity.  The Time Service Department, U.S. Navy, observed that "The Operational Control System (OCS) of the Global Positioning System (GPS) does not include the rigorous transformations between coordinate systems that Einstein’s general theory of relativity would seem to require" in part because "the effects of relativity, where they are different from the effects predicted by classical mechanics and electromagnetic theory, are too small to matter – less than one centimeter, for users on or near the earth.”</ref>  This stands in stark contrast with every verified theory of science.

#The lack of useful devices developed based on any insights provided by the theory; no lives have been saved or helped, other than the enabling of modern GPS devices, and the theory has not led to other useful theories and may have interfered with scientific progress.<ref group="note">Contrary to the claims of Relativists, the GPS system has never been based on Relativity.  The Time Service Department, U.S. Navy, observed that "The Operational Control System (OCS) of the Global Positioning System (GPS) does not include the rigorous transformations between coordinate systems that Einstein’s general theory of relativity would seem to require" in part because "the effects of relativity, where they are different from the effects predicted by classical mechanics and electromagnetic theory, are too small to matter – less than one centimeter, for users on or near the earth.”</ref>  This stands in stark contrast with every verified theory of science.

#Relativity requires different values for the inertia of a moving object: in its direction of motion, and perpendicular to that direction.  This contradicts the logical principle that the laws of physics are the same in all directions.

#Relativity requires different values for the inertia of a moving object: in its direction of motion, and perpendicular to that direction.  This contradicts the logical principle that the laws of physics are the same in all directions.

#Relativity requires that anything traveling at the speed of light must have mass zero, so it must have momentum zero.  But the laws of electrodynamics require that light have nonzero momentum.

#Relativity requires that anything traveling at the speed of light must have mass zero, so it must have momentum zero.  But the laws of electrodynamics require that light have nonzero momentum. Light has nonzero momentum as photon (light) momentum is reliant only upon its frequency (or inversely its wavelength).

#Unlike most well-tested fundamental physical theories, the theory of relativity violates conditions of a conservative field.  Path independence, for example, is lacking under the theory of relativity, as in the "twin paradox" whereby the age of each twin under the theory is dependent on the path he traveled.<ref group="note">In defense of the theory, it is noted that it mandates conservation of the matter-stress-energy tensor (the only way to get ''real'' conservation, since matter and energy are interchangeable.)  This follows from the "contracted Bianchi identity." [http://www.mth.uct.ac.za/omei/gr/chap6/node14.html]  Also, the curl of the "gravitational field vector" is exactly zero in the absence of moving sources, due to symmetries of [[Riemann]]'s tensor.  It follows, from [[Stokes' Theorem]], that the gravitational field is conservative and has a potential function.  Energy is conserved.</ref>

#Unlike most well-tested fundamental physical theories, the theory of relativity violates conditions of a conservative field.  Path independence, for example, is lacking under the theory of relativity, as in the "twin paradox" whereby the age of each twin under the theory is dependent on the path he traveled.<ref group="note">In defense of the theory, it is noted that it mandates conservation of the matter-stress-energy tensor (the only way to get ''real'' conservation, since matter and energy are interchangeable.)  This follows from the "contracted Bianchi identity." [http://www.mth.uct.ac.za/omei/gr/chap6/node14.html]  Also, the curl of the "gravitational field vector" is exactly zero in the absence of moving sources, due to symmetries of [[Riemann]]'s tensor.  It follows, from [[Stokes' Theorem]], that the gravitational field is conservative and has a potential function.  Energy is conserved.</ref>

#The Ehrenfest Paradox: Consider a spinning hoop, where the tangential velocity is near the speed of light. In this case, the circumference (<math>2 \pi R</math>) is length-contracted. However, since <math>R</math> is always perpendicular to the motion, it is not contracted. This leads to an apparent paradox: does the radius of the accelerating hoop equal <math>R</math>, or is it less than <math>R</math>?

#The Ehrenfest Paradox: Consider a spinning hoop, where the tangential velocity is near the speed of light. In this case, the circumference (<math>2 \pi R</math>) is length-contracted. However, since <math>R</math> is always perpendicular to the motion, it is not contracted. This leads to an apparent paradox: does the radius of the accelerating hoop equal <math>R</math>, or is it less than <math>R</math>?