Phi ~ 1.618
You may be familiar with the geometry a2 + b2 = c2. Fermat's Last Theorem, recently proven, states there is no such set of integers that will satisfy a3 + b3 = c3. If, however, a3b3c3 is the true geometry of Nature then quantum uncertainty can be ascribed to an inherent deficiency of numbers. This may also account for the <0.5% deviation between the theoretical value for alpha and the experimental value.
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