Moreover, the lottery is drawn pretty close to the same time every day. It's done live on TV, in a scheduled slot. I doubt there's more than a few minutes variation in time-of-day from drawing to drawing. How accurate might you have to measure to get an input with sufficient precision to make useful predictions? Milliseconds? Picoseconds?
If the relationship between time of day and the drawing is deterministic, but it's that non-linearly dependent on the conditions (the precise picosecond), I doubt you could prove it - even if you had access to the machines to instrument them and a huge experimental budget.

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RE: Where's the analysis?
Woah ... that's pretty deep. Might need the Monkey Computer to handle that one!
I think, however, that going off the deep end of prediction would find more immediate relevance in comparing weather conditions (barometric pressure specifically and rise or fall). Additionally, I think there is less value in the Earth's rotation while there would be more of an effect from the moon's position and the annual proximity to the sun. All way out there but it would of course, be interesting.
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