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All this I minimally gave in reply #30.
You gave numerology.Were you expecting to be taken seriously?
"I suggest that a fruitful area of new mathematics has been fractals with their fractional dimensions, and chaos theory, with strange attractors."
I'd say the best evidence would be to make falsifiable predictions that were found out to be true. Case in point, the gravitational lensing predicted by relativity.
My most accurate proposed value is 137.0359990621 for the local low energy inverse fine structure constant. The CODATA empirical value is 137.035 999 084(21), so they are off by one standard deviation.