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So the emission of an alpha particle from a nucleus is an observable process?

I don't think so. It is a theorized phenomenon based on other observable processes, unlike the development of the fossil record.

The earth orbiting the sun is observable?

See above.

BTW, you do know that evolution HAS been observed by scientists both in nature and in the laboratory, don't you?

Sure, in very small degrees. But this is hardly anything to substantiate the proposition that it took millions of years for life to form as we know it.