Author Description

Combining Euclidean geometric principles and data-mined fragments of ancient Pythagorean number theory, P.S. Williams links the dimensional geometry of continuous proportion with modulus-9 complementary number symmetry and a novel prime number theory that, if confirmed accurate, could revolutionize our understanding of the universe: "I present a compelling series of geometric, mathematical, and symmetric proofs and observations that serve to objectively substantiate my contention that, at its most fundamental quantum levels, energy is best characterized as a quantized multidimensional waveform sustained and propagated by the cooperative spatial/temporal dynamics of the golden ratio and it's negative reciprocal - the spatial base and temporal anti-base of continuous golden proportion." In an astonishing revelation, Williams provides objective mathematical, geometric, and symmetric proofs of a highly predictive alternative to Schrodinger's 3D spherical coordinate based harmonic model - a model based on a spatial/temporal interpretation of Pascal's triangle as a dimensional continuum of quantized energy states! "Ultimately I find that when the geometry of Pascal's triangle is interpreted in a spatial-temporal dimensional context and analyzed with complementary modulus-9 symmetry, super-symmetric spatial-temporal cuboctahedral dipole fields are revealed that provide an axiomatic means of understanding the natural order empirically characterized by quantum physics." Tapping into the Tau, Williams casts the golden ratio and its negative reciprocal as yang and yin - the spatial base and temporal anti-base of the continuous golden proportion [energy], the "Fibonacci series." www.naturalnumber.com