On the Structure of Parallelohedrons of Higher Dimension: Hilbert's 18th Problem

Gennadiy Vladimirovich Zhizhin
Additional contact information
Gennadiy Vladimirovich Zhizhin: Skolkovo, Russia

International Journal of Chemoinformatics and Chemical Engineering (IJCCE), 2019, vol. 8, issue 2, 69-96

Abstract: For more than 100 years in science, many researchers, when trying to solve Hilbert's 18th problem of constructing n-dimensional space, used the principles of the Delaunay geometric theory. In this paper, as a result of a careful analysis of the work in this direction, it is shown that the principles of the Delaunay theory are erroneous. They do not take into account the features of figures of higher dimensionality, do not agree with modern advances in the physics of the structure of matter, and lead to erroneous results. A new approach to solving the 18th Hilbert problem, based on modern knowledge in the field of the structure of matter and the geometric properties of figures of higher dimension, is proposed. The basis of the new approach to solving the 18th Hilbert problem is the theory developed by the author on polytopic prismahedrons.

Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://services.igi-global.com/resolvedoi/resolve. ... 8/IJCCE.20190701.oa2 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:igg:jcce00:v:8:y:2019:i:2:p:69-96

Access Statistics for this article

International Journal of Chemoinformatics and Chemical Engineering (IJCCE) is currently edited by Rama Rao Karri

More articles in International Journal of Chemoinformatics and Chemical Engineering (IJCCE) from IGI Global
Bibliographic data for series maintained by Journal Editor ().