Observations that broke the rules?

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Brad12d3
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It seems like there has been a couple of times in the history of physics when we have observed something that seemed to break the rules of accepted theory. What do think were some of the most surprising discoveries in the last 50 years or so that broke the rules of what what we thought was possible?
 
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Brad12d3 said:
It seems like there has been a couple of times in the history of physics when we have observed something that seemed to break the rules of accepted theory. What do think were some of the most surprising discoveries in the last 50 years or so that broke the rules of what what we thought was possible?

To dim little old me, the observation that galactic rotation defies Newton's laws of gravity is the most surprising and important. It is this observation that necessitates ideas of dark matter, and drives us to the uncomfortable position that up to 96% of the universe is invisible, undetectable, and may forever remain so. It's almost like being forced into believing in magic.

Respectfully submitted,
Steve