Abstract
Using a baseline sine function, the structure of prime numbers reveals itself in the form of a standing waves amongst the integers, creating a scaling based on the prime number and its associated waveform relative to the baseline sine function. The baseline sine function produces a sine wave in which the arrow of time manifests when compared with a non-zero acceleration – a prime standing wave. Using multiple sine functions, across up to one hundred iterations, several other properties emerge that are observationally verified. When applying the waveform to real-world structures related to acceleration, energy, and time, behaviors first proposed by Albert Einstein's Theories of relativity; to include structure of black holes, the Schwarzschild radius ( ), mathematical singularities, and even galactic-scale structures – most exciting is the emergence of a double-helix structure from the fabric of space. All behaviors emerge from the same geometric proportions exhibited by the singularities that exist at the nodes of prime number standing waves. Base ten, two dimensional, two variable equations are used due to limited computing power and exponential complexity.
David Pfender Chapman