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And especially with regards to Einstein. His relativity formulas are amazing, and that they can calculate time dilation, something that I don't even know if he could prove or not.

From what I understand physics majors in college do an experiment with detecting muons from the atmosphere that verify Einstein's relativity theory, but did Einstein have access to the same type of thing in his time?

So basically what I'm asking is how was he able to come up with a formula that told him that at .865c time slows down by half or whatever.

Thanks

AYCHAMO