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1) Consider a situation where immediately after birth, twins are separated. One continues to live on earth, while the other is whisked away by a space ship at 90% of the speed of light. After 65 years they are reunited. Will they look the same? Show proof of your answer through math

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No they will not look the same.
They will not look the same, the one on earth will look 60 while the one in space will only look about 26.16 the equation is sqrt[1-(0.9)^2] = 0.436 .

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