Abstract :
A three dimensional hypercube representing all of the 4,096 dyadic computations in bi-valent systems has been created. There are 16 functions arrayed in a table of functional completeness that can compute a dyadic relationship, each component of the dyad, as well as its operator, being a function. Each function in the hypercube has been color keyed to a frequency on the light spectrum to reflect a discussion in August Stern s work Matrix Logic and The Quantum Brain that purports the ability of binary spaces to reveal quantum mechanical relationships. At the minimum, the hypercube is a “multiplication table” or table of computations and values that shorten the time to do operations that normally would take longer using conventional truth table methods. Already, various hypercubes consisting of binary spaces are used to compute optimal communications paths, as with “hamming distances”. In chaos theory, the hypercube seems to show the origins of patterns generated by basins of attraction in binary spaces. Patterns don t emerge from randomness but from deep innate structures in the universe. While specialty areas, such as telecommunications and quantum mechanics are not within the purview of his expertise, the author thinks that there may be significant relevance of what has been developed here to those fields.
