Wednesday, January 19, 2011

Riemann Revisited

Marco Frasca brings up one of our favourite old subjects: the unsolved Riemann hypothesis! Quantum arithmetic is not commutative, because three qubits are not the same thing as two qutrits.

In particular, $8$ is not equal to $9$, much as there are two distinct ways to create the number $57$ from two $3 \times 3$ matrices. As every child knows, one cannot fit a square peg in a triangular hole.

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