id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
asir-4528	Soiguine, Alexander	Explaining Double Split Experiment with Geometrical Algebra Formalism	2022	7	.pdf	application/pdf	2668	93	66	𝛽1 𝐵1 + 𝛽2 𝐵2 = (𝛽2 + 𝛽1𝐵3)𝐵2, 𝛽2 2 + 𝛽1 2 = 1 General definition of measurement in the suggested approach includes: - the set of observables to be 𝐺3 +, - the set of states to be elements of 𝐺3 + (g-qubits up to some scalar factor), - measurement of an observable www.scholink.org/ojs/index.php/asir Applied Science and Innovative Research Vol. 6, No. 1, 2022 49 Published by SCHOLINK INC. 𝐶 = 𝐶0 + 𝐶1𝐵1 + 𝐶2𝐵2 + 𝐶3𝐵3 by g-qubit (wave function) 𝛼 + 𝐼𝑆𝛽 = 𝛼 + 𝛽1𝐵1 + 𝛽2𝐵2 + 𝛽3𝐵3 is defined as (𝛼 − 𝐼𝑆𝛽)𝐶(𝛼 + 𝐼𝑆𝛽) with the result: 𝐶0 + 𝐶1𝐵1 + 𝐶2𝐵2 + 𝐶3𝐵3 𝛼+𝛽1𝐵1+𝛽2𝐵2+𝛽3𝐵3 → 𝐶0 + (𝐶1,(𝛼 2 + 𝛽1 2) − (𝛽2 2 + 𝛽3 2)- + 2𝐶2(𝛽1𝛽2 − 𝛼𝛽3) + Modifying the operators due to Clifford translation is identified by the generalization of Schrodinger equation containing unit bivectors in three dimensions instead of formal imaginary unit Qubits, identifying states in conventional quantum mechanics, mathematically are elements of two-dimensional complex spaces: .𝑥1+𝑖𝑦1 𝑥2+𝑖𝑦2 / , ‖𝑥1 + 𝑖𝑦1‖ 2 + ‖𝑥2 + 𝑖𝑦2‖ 2 = 1, unit value element of 𝐶2.	cache/asir-4528.pdf	txt/asir-4528.txt