The grand aim of all science is to cover the greatest number of empirical facts by logical deduction from the smallest possible number of hypotheses or axioms.

Albert Einstein

New Release!

mechanics of spherical harmonic spatial/temporal proportion

In his new book, P.S. Williams refines and elaborates on the theorems postulated in his first book, Natural Number. It is structured as an axiomatic extension of Euclid’s elements relevant to the geometry of proportion.

*Elements of Dimensional Geometry*:mechanics of spherical harmonic spatial/temporal proportion

In his new book, P.S. Williams refines and elaborates on the theorems postulated in his first book, Natural Number. It is structured as an axiomatic extension of Euclid’s elements relevant to the geometry of proportion.

In his first book,

*Natural Number,*P.S. Williams links the dimensional geometry of continuous proportion with modulus-9 complementary number symmetry and a novel prime number theory by combining Euclidean geometric principles with data-mined fragments of ancient Pythagorean number theory: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!

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.At the origin of ALL the continuous equal proportions of the infinite void (0) and the finite point (1) combine geometrically/mathematically to form the quantized virtual dimensional number number field — Pascal’s triangle.

Envision the singularity, the energetic

*monad**,*the singular spherical dimensional origin reflecting upon the surrounding void, causing higher dimensions to unfold as they rotate harmonically about the central sphere with the complementary cuboctahedral dipole super-symmetry of the continuous golden proportion — a.k.a. the Fibonacci series.Then envision these dimensional super-symmetries of energy (spatial/temporal) and anti-energy (temporal/spatial) constrained to the spatial/temporal perspective and integrated to form the finite atomic

*particles*we observe as the*electron**and**proton**— spatial/temporally oriented finite integrals of energy and anti-energy — complementary dipoles.*The wisdom of the ages consolidated and imbued with 21st century hindsight! In an eclectic fusion, Williams merges number theory, geometry, complementary color theory, quantum physics, and ancient philosophy to produce a novel unified field theory. Explore Nature’s

*complementary dimensional number symmetry*.