The research considers wavelike objects that are elements of even subalgebra\nof geometric algebra in three dimensions. The used formalism particularly\neliminates long existing confusion about the reasons behind the appearance\nof the imaginary unit in quantum mechanics and introduces clear definition\nof wave functions. When a wave function acts through the Hopf fibration on\na localized geometric algebra element, that is executing a measurement, the\nresult can be named as â??collapseâ? of the wave function.
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