English

The Normal, the Natural, and the Harmonic

Physics and Society 2025-11-07 v1 Applied Physics

Abstract

Use is made of rigorous definitions for the terms normal, natural, and harmonic to reveal a number of unfamiliar aspects about them. The Gaussian distribution is not sufficient to determine who is normal, and fluctuations above or below a natural-growth curve may or may not be natural. A recipe for harmonically sustained natural growth requires that the overlap during the substitution process must be limited. As a consequence the overall growth process must experience good as well as bad 'seasons'.

Keywords

Cite

@article{arxiv.2511.03759,
  title  = {The Normal, the Natural, and the Harmonic},
  author = {Theodore Modis},
  journal= {arXiv preprint arXiv:2511.03759},
  year   = {2025}
}

Comments

11 pages, 6 figures

R2 v1 2026-07-01T07:23:24.167Z