Apple Cinema HD Display 30'' black screen, power light blinking
I don't know what might have happened, but a number of years ago I had an apple monitor and the power light on it started blinking, so I got in touch with apple and they told me that it's flashing an error code, so they told me what the blinking indicated and fixed it.
So I think the blinking of the power light on your monitor could be indicating an error code so I suggest you call apple and they will identify what the error is indicating.
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