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Examples
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Classical mechanics has commutivity of variables, but when quantized that commutivity is lost, such as [q, p] = i hbar.
A Dark, Misleading Force Sean 2007
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Now if I add a term i (qp - pq) [i = sqrt {-1}] classically by commutivity this is zero.
A Dark, Misleading Force Sean 2007
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Division algebras are systems of numbers that share some properties of the reals such as the existence of multiplicaiton, additionn and division, but don’t have others such as commutivity and associativity.
Why 10 or 11? Sean 2006
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