Alexander P. Yefremov. The Conic-Gearing Image of a Complex Number and a Spinor-Born Surface Geometry.
Submitted on: Feb 21, 2012, 21:21:39
Natural Sciences / Physics / Quantum field theory
Description: Quaternion (Q-) mathematics formally contains many fragments of physical laws; in particular, the Hamiltonian for the Pauli equation automatically emerges in a space with Q-metric. The eigenfunction method shows that any Q-unit has an interior structure consisting of spinor functions; this helps us to represent any complex number in an orthogonal form associated with a novel geometric image (the conic-gearing picture). Fundamental Q-unit-spinor relations are found, revealing the geometric meaning of spinors as Lame coefficients (dyads) locally coupling the base and tangent surfaces. (Work was posted on Arxiv.org on 3 Feb 2011 as arXiv:1102.0618v1 [physics.gen-ph]. Re-posted on IntellectualArchive.com with author's permissions.)
The abstract of this article has been published in the "Intellectual Archive Bulletin" , February 2012, ISSN 1929-1329.
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Alexander P. Yefremov. The conic-gearing image.pdf