Prime Number Decomposition, the Hyperbolic Function and Multi-Path Michelson Interferometers

The phase phi of any wave is determined by the ratio x/lambda consisting of the distance x propagated by the wave and its wavelength lambda. Hence, the dependence of phi on lambda constitutes an analogue system for the mathematical operation of division, that is to obtain the hyperbolic function f(xi)a parts per thousand 1/xi. We take advantage of this observation to decompose integers into primes and implement this approach towards factorization of numbers in a multi-path Michelson interferometer. This work is part of a larger program geared towards unraveling the connections between quantum mechanics and number theory. We briefly summarize this aspect.