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Pashuteh Yid
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I do not believe we must conform our scientific investigations to arrive at a result that we might believe would be more in accordance with the Torah. Rather,, the Torah wants us to seek the emes, period. See the Rambam in Kiddush Hachodesh (17,24). Anything proved mathematically or scientifically even by a non-Jew, carries the weight of Divrei Neviim. His source is probably the gemara in Pesachim where Rebbe Yehudah Hanasi was not ashamed to say that the Chachmei Umos Haolam were more correct in their understanding of nightfall than were the Chachmei Yisroel.

ZachKessin, while at first relativity seems paradoxical, as how can a moving light source emit light at the same speed as a stationary light source (which we know is not true if a person on a train throws a ball, the ball will travel at the sum of the train’s speed and the speed with which it was thrown from the hand), maybe the following makes it more understandable.

Remember that in Electromagnetics, one can either use a field formulation, or an action at a distance formulation. If we think of electostatic interactions as action at a distance, then it makes sense that the speed with which another particle finds out about the existence of a first particle (feels its effect) should only depend on the distance between them, not on how fast one is moving with respect to the other. Does this make any sense to you?