Division Algebras and Physics

Why 4 Physical forces, 4 Number Systems?

  • Gravitatiinal force, Electrical force Magnetic force, Particle weak force
  • Real number, Complex number, Quartenion number, Octonion number

Division algebras and physics – version for the public: (2 mins)

Ideal = Algebraic “Black Hole”

[Note: What is an Ideal? ]

Minimum Left Ideal = Left Ideal with no trivial ideals

Quartenions = Associative

Clifford Algebra = Associative

Octonions = Non-Associative

Result Summary :

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