# The Effect of Relativity Theory on Marathon Runners

Sometimes people say, ?Running is good for your health, and you can live longer.? Is it true? Isn?t there another reason? Is health the only cause of longevity? I wondered if the effect of relativity is one of the causes.

In 1905, the great physicist, Albert Einstein, put forward a new theory called ?The Special Theory of Relativity?. It is very simple and it says only these two principles 1. The laws of physics are the same in all inertial system. 2. There is a speed limit, and it is the speed of light. Suppose two inertial systems, one of which, S, is the rest system and another, S?, is moving at the velocity v to S. In above pictures, red and blue represent S and S?, white balls moving are light, green boards are mirrors. Since the speed of light is constant, (ct)2 = (vt)2 + L2 (1) ct? = L (2) where t is the time on S, t? is the time on S?, c is the velocity of light, L is the distance between the red ball and the mirror. Calculating this phenomenon mathematically, the following equation about the time is derived. dt? =(1- (v/c)2 )1/2 ?dt (3) This equation says that the speeds of the time are different if the systems are not the same.

Ms.Anderson, who lives in South California, likes running very much. Astoundingly, she could run a full marathon course in world record time! When she was twenty years old, she began marathon running and she ran 42.195km everyday till she became forty. Now, Nov. 25th 2002, the world record time(accurately, it?s not the world record but the world?s best performance) of women?s marathon is the 2:17:18 of an English woman, Paula Radcliffe. Therefore, the velocity, v, at which she ran is v = (42.195×10³) / (((2×60)17)×6018) = 5.122 (m/s). The total time, t, of the rest system while she was running for 20 years is t = (20×365)×(((2×60)17)×6018) = 6.0137400 × 107 (s) Substitutiong these values for the equation (1), the total time, t? , in the system which she was on is determined as t? = (1- (v/c)2 )1/2 ?t = 6.0137400 × 107 (s) Thus the difference of the time between these two systems is t ? t? = 0 (s) (acalculia) According to the results of calculation, the longevity caused by exercise seems not to have a relation to Relativity Theory. Actually before I calculated in practice, I thought that there was the effect of at least one second, but the speed of light is faster than I expected. The astronauts can verify the effect with their watches if they have been in the space station for 100 years. If the space ship is for traveling in space, the effect becomes more obvious, like the movie,?planet OF the apes?.

The Effect of Relativity Theory on Marathon Runners
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