Axioms of heterogeneous geometry / Grigoryan. (2019)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2019, 55 (4))

Grigoryan Y.
Axioms of heterogeneous geometry

This study is based on Lobachevsky’s hypothesis that different parts of space satisfy different geometries such as the Euclidean, non-Euclidean, and projective ones. Based on the theory of arithmetic graphs, three systems of algebraic equations were constructed that are embedded in a discrete metric space in which a point is an integer allowing to define a straight line, a plane, and other elements except for 0. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: geometry, model, nonclassical geometry, space, Embedded systems, Models, A-plane, Different geometry, Euclidean, Heterogeneous geometry, Metric spaces, Non-Euclidean, space, Systems of algebraic equations, Geometry


Cite:
Grigoryan Y. (2019). Axioms of heterogeneous geometry. Cybernetics and Systems Analysis, 55 (4), 24-32. doi: https://doi.org/10.1007/s10559-019-00162-3 http://jnas.nbuv.gov.ua/article/UJRN-0001003090 [In Russian].


 

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