Open AccessFoundations of the Electromagnetic Theory
Author(s) -
Constantinos Krikos
Publication year - 2018
Publication title -
osj. open science journal
Language(s) - English
Resource type - Journals
ISSN - 2466-4308
DOI - 10.23954/osj.v3i1.1369
Subject(s) - ellipse , maxwell's equations , linearization , geodesic , unit vector , limit (mathematics) , underdetermined system , mathematics , mathematical analysis , holography , physics , calculus (dental) , nonlinear system , geometry , optics , quantum mechanics , medicine , dentistry
In this paper equations in R3 which are illustrations of “linear” ellipses, i.e. ellipses which tend to become segments of a geodesic of R2, because their eccentricities tend to unit () will be found. During a linearization process of ellipses, varying vectors will be mapped, from which ellipses and their relations in R2 , to varying vector fields and their relations in R3 are defined. These vector fields and their relations in R3 are called “holographic”. At the limit , the holographic relationships are formalistically similar to Maxwell's equations. This is a theoretical derivation of Maxwell’s equations and not a systematic classification of experimental data as Maxwell did.