is it possible to travel faster than light?
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Answer: NO. Neither the Theory of Relativity, nor the Principle of Causality in Physics allow that.
Explanation: For a detailed explanation, refer to the Wikipedia article on 'Tachyon'.
The discussion on Tachyon(a hypothetical particle believed to have a speed greater than light) will bring into light many logical dilemma associated with faster-than-light phenomena and hopefully clear your doubts.
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