TITLE:
Scattering of Geometric Algebra Wave Functions and Collapse in Measurements
AUTHORS:
Alexander Soiguine
KEYWORDS:
Wave Functions, Geometric Algebra, Measurements, Scattering, Entanglement, Dualism
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.9,
September
18,
2020
ABSTRACT: The research considers wavelike objects that are elements of even subalgebra of geometric algebra in three dimensions. The used formalism particularly eliminates long existing confusion about the reasons behind the appearance of the imaginary unit in quantum mechanics and introduces clear definition of wave functions. When a wave function acts through the Hopf fibration on a localized geometric algebra element, that is executing a measurement, the result can be named as “collapse” of the wave function.