Pre-geometric structure of quantum and classical particles in terms of quaternion spinors

DOI10.1134/S0202289313020047zbMath1272.83020arXiv1212.6005MaRDI QIDQ358973

Alexander P. Yefremov

Publication date: 9 August 2013

Published in: Gravitation \& Cosmology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6005

zbMATH Keywords

Schrödinger equationpre-geometric structureproto-particlequaternion spinors

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Geometry and quantization, symplectic methods (81S10) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Equations of motion in general relativity and gravitational theory (83C10) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (4)

Spin angular momentum of proton spin puzzle in complex octonion spaces ⋮ Structured relativistic particle, helix-type Minkowski diagram, and ``more general relativity ⋮ ``General theory of particle mechanics arising from a fractal surface ⋮ The fractal structure of space entails origin of Pauli's equation

Cites Work

• The conic-gearing image of a complex number and a spinor-Born surface geometry
• The Schrödinger equation as a consequence of the quaternion algebra stability

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