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You've got it mixed up a bit, Mouse. Science requires the law of universal causation; science is not itself the law of universal causation. That was formulated by Mill to justify philosophically the results of modern science (modern meaning 17th century). Scientists themselves don't really feel compelled to justify metaphysically their results and are concerned more with pragmatics. If a physical formula works, then use it, without any need for developing a formal argument for the common sense assumption that nature operates by laws of cause and effect that are the same everywhere, which is surely an assumption that no one other than a professional philosopher conducting a thought experiment would even think to contest.
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