An analytic structural approach to calculating dimensionless constants of Nature is presented which shows a direct relation between physics, and a number theoretic form involving transcendental forms and the Monster group. A development inherent in the consistency of the calculation leads to the deduction of the fine structure constant from pure mathematical structure. The fine structure constant is calculated as pure number in transcendental form 0.00729735256884151851344.... This lies within the margin of error of Gabrielse?s 2008 experimentally determined value 0.007297352569(5). An argument is made that the naturalness of the mathematical structure explains away the hierarchical mass scale problem of physics and that the structure could be core to the Standard Model with the inclusion of the gravitational gauge force. The universality of the approach is presented to show its reaching domain. If the forms and calculation are true the fine tuning argument of physics may be overturned.