The converging under-damped harmonic growth of prime numbers

  • Authors:

  • Ernest G. Hibbs

  • Affiliations:

  • -

  • Venue:
  • AMERICAN-MATH'12/CEA'12 Proceedings of the 6th WSEAS international conference on Computer Engineering and Applications, and Proceedings of the 2012 American conference on Applied Mathematics
  • Year:
  • 2012

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Abstract

This paper presents how the prime number increments converge with respect to their own harmonic double-pole structure and not using our normal harmonic equations or coordinate systems. We examine the key ratio between the forward and reverse oscillating motion of the harmonic elliptical gap growth model. The convergence caused by the ratio of the sums of the two poles over time uses a non-complex version the Riemann zeta function as the primary exponential power that drives the harmonic under-damped exponential decay. The analysis of the gap for the first 2,000 prime numbers results in the conclusion that the prime number increments provide an integer "plug-and-play" framework for creating a harmonic relationship in dipole or double-threaded models in physics, engineering, and bioinformatics.