Feigenbaum constant and Compton Wavelength factor !

In our OPERA anomaly analysis, by summing Lorentz factors we obtain a speed-time uncertainty relationship in terms of the Compton wavelength where we have a constant 0.211. The inverse of this constant is pretty close to the so called 
Feigenbaum constant which is 4.669. Inverse of 0.211 is 4.73 ( — 1.3% away ) But 0.214 is very accurately the inverse of 4.669, Feigenbaum constant which is a fundamental physical constant ( — and a transcendental number). In-fact since having more terms in binomial expansion will increase the 0.211 perhaps to 0.214, I suspect there is a definite relation between summing beta = 1 Lorentz factors and Feigenbaum constant.