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""But he hasn't got anything on!" the whole town cried out at last. The Emperor shivered, for he suspected they were right. But he thought, "This procession has got to go on." So he walked more proudly than ever, as his noblemen held high the train that wasn't there at all."

Hans Christian Anderson (The Emperor's New Clothes)

For those possessing knowledge on the subject, we can disprove Einstein's Theory of Relativity in one diagram. (see disproof below)

Time-dilation

For those unsure of what Einstein theorised, he basically said that moving clocks slow down (time dilation). The physics of motion however also asserts that a person that is moving with respect to someone who is stationary can be seen to be stationary from their own perspective and the stationary person is the one who is moving past them. We can switch reference frames between observers and all laws of physics still apply to both i.e. neither reference frame is preferred, moving or stationary. This creates a flaw when analysing Einstein's theory.

An example of Time-dilation:

Suppose four people are at a table and all have wrist-watches on. If one gets up and leaves then returns, their wrist-watch will be slower than the other three. At the speed of walking however, this slowing would appear unnoticeable. If however the person ran out at half the speed of light, there would be a noticeable difference, let's say two seconds for perfectly synchronised watches. Now if the person runs out at the speed of light, their watch would stop dead and would appear to have lost no time whatsoever in their entire journey i.e. their watch showed the identical time as when they left. The disproof shows this is a fallacy and unable to be reconciled.

The basics of Time-dilation (PDF)

Disproving Relativity - (Slide show)