Musean Hypernumber - Conic Sedenions / "16 Dimensional M-algebra"

Conic Sedenions / "16 Dimensional M-algebra"

The term "M-algebra" (after C. Musès) refers to number systems that are vector spaces over the reals, whose bases consist in roots of −1 or +1, and which possess a multiplicative modulus. While the idea of such numbers was far from new and contains many known isomorphic number systems (like e.g. split-complex numbers or tessarines), certain results from 16 dimensional (conic) sedenions were a novelty. Musès demonstrated the existence of a logarithm and real powers in number systems built to non-real roots of +1.

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