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Scattering of Geometric Algebra Wave Functions and Collapse in Measurements

Scattering of Geometric Algebra Wave Functions and Collapse in Measurements
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摘要 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. 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.
作者 Alexander Soiguine Alexander Soiguine(SOiGUINE Quantum Computing, Aliso Viejo, CA, USA)
出处 《Journal of Applied Mathematics and Physics》 2020年第9期1838-1844,共7页 应用数学与应用物理(英文)
关键词 Wave Functions Geometric Algebra MEASUREMENTS SCATTERING ENTANGLEMENT DUALISM Wave Functions Geometric Algebra Measurements Scattering Entanglement Dualism
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