Proportiones Perfectus Law and the Physics of the Golden Section

Mamombe, L (2017) Proportiones Perfectus Law and the Physics of the Golden Section. pp. 1-41. ISSN 2456-477X

PDF (Original Research)
Mamombe712017ARJOM36860.pdf - Published Version

Download (549kB) | Preview
Official URL:


The proportiones perfectus law is introduced. Let </math>. By definition, in the spectrum </math> is a proportione perfectus. With </math> so defined, for an arbitrary positive integer </math> it is shown that there exists an integer sequence </math> satisfying the quasi-geometric relation </math> such that the arithmetic relation </math> holds. The golden mean, designated </math> becomes the most basic and fundamental of proportiones perfectus. New concepts to the study of the golden section are presented: chirality, number genetics and law of polarity, special numerical harmony, and chemical geometry. A geometrical basis for the fine-structure constant in the golden section is established. Our stating of over forty theorems in this reading serves no other purpose than that of expanding the theory of the golden section while equipping the interested reader with instruments for further research and development of this science of number.

Item Type: Article
Uncontrolled Keywords: Chemical geometry; chirality and homochirality; fine-structure constant; golden section; number genetics and law of polarity; proportiones perfectus; special numerical harmony; Lovemore Mamombe.
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Q Science > QD Chemistry
Q Science > QK Botany
T Technology > TA Engineering (General). Civil engineering (General)
Divisions: Research Units > Research Centre
Depositing User: Lovemore Mamombe
Date Deposited: 09 Mar 2018 10:46
Last Modified: 09 Mar 2018 10:46

Actions (login required)

View Item View Item