The Normal, the Natural, and the Harmonic

Fuente: arXiv
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1. Verfasser: Modis, Theodore
Format: Preprint
Veröffentlicht: 2025
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author Modis, Theodore
author_facet Modis, Theodore
contents 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'.
format Preprint
id arxiv_https___arxiv_org_abs_2511_03759
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Normal, the Natural, and the Harmonic
Modis, Theodore
Physics and Society
Applied Physics
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'.
title The Normal, the Natural, and the Harmonic
topic Physics and Society
Applied Physics
url https://arxiv.org/abs/2511.03759