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Counterexamples to Relativity (view source)
Revision as of 04:52, February 11, 2012
, 04:52, February 11, 2012restored countexample
#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>?
#Based on Relativity, Einstein predicted in 1905 that clocks at the Earth's equator would be slower than clocks at the North Pole, due to different velocities; in fact, all clocks at sea level measure time at the same rate, and Relativists made new assumptions about the Earth's shape to justify this contradiction of the theory; they also make the implausible claim that relativistic effects from gravitation precisely offset the effects from differences in velocity.<ref>http://www.nature.com/nature/journal/v227/n5255/abs/227270a0.html</ref>
#Based on Relativity, Einstein predicted in 1905 that clocks at the Earth's equator would be slower than clocks at the North Pole, due to different velocities; in fact, all clocks at sea level measure time at the same rate, and Relativists made new assumptions about the Earth's shape to justify this contradiction of the theory; they also make the implausible claim that relativistic effects from gravitation precisely offset the effects from differences in velocity.<ref>http://www.nature.com/nature/journal/v227/n5255/abs/227270a0.html</ref>
#The Twin Paradox: Consider twins who are separated with one traveling at a very high speed such that his "clock" (age) slows down, so that when he returns he has a younger age than the twin; this violates Relativity because ''both'' twins should expect the other to be younger, if motion is relative. Einstein himself admitted that this contradicts Relativity.<ref>Einstein attempted to explain the paradox based on the acceleration that one twin uniquely undergoes, but the length of travel can simply be extended such that any effect from acceleration would be ''de minimis''.</ref>
#Based on Relativity, Einstein claimed in 1909 that the [[aether (science)|aether]] does not exist, but in order to make subatomic physics work right, theorists had to introduce the aether-like concept of the Higgs field, which fills all of space and breaks symmetries.
#Based on Relativity, Einstein claimed in 1909 that the [[aether (science)|aether]] does not exist, but in order to make subatomic physics work right, theorists had to introduce the aether-like concept of the Higgs field, which fills all of space and breaks symmetries.
#[[Minkowski space]] is predicated on the idea of four-dimensional vectors of which one component is [[time]]. However, one of the properties of a [[vector space]] is that every vector have an inverse. Time cannot be a vector because it has no inverse.<ref>Time isn't a vector. It is a component of the vector space known as "spacetime".</ref>
#[[Minkowski space]] is predicated on the idea of four-dimensional vectors of which one component is [[time]]. However, one of the properties of a [[vector space]] is that every vector have an inverse. Time cannot be a vector because it has no inverse.<ref>Time isn't a vector. It is a component of the vector space known as "spacetime".</ref>