Theories of Everything with Curt Jaimungal cover image

Retired Off Apple Stock Then Revolutionized Physics Living in Hawaii | Garrett Lisi

Theories of Everything with Curt Jaimungal

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Understanding Dimensions in Algebra

Quaternions, discovered by Hamilton in the 1860s, represent a four-dimensional division algebra that relates to rotations. Additionally, there are other division algebras: reals as one-dimensional, complex numbers as two-dimensional, and octonions as eight-dimensional. All these algebras are interconnected through their requirement of having an inverse and demonstrate the complexity and structure of mathematical systems across various dimensions.

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