Humboldt University of Berlin
Talks by Cohl Furey
Discussion Session

Tejinder Singh Tata Institute for Fundamental Research

Shane Farnsworth Max Planck Institute for Gravitational Physics  Albert Einstein Institute (AEI)

Cohl Furey Humboldt University of Berlin
Division algebraic symmetry breaking

Cohl Furey Humboldt University of Berlin

Mia Hughes Imperial College London
Can the 32Cdimensional algebra R(x)C(x)H(x)O offer anything new for particle physics? Indeed it can. Here we identify a sequence of complex structures within R(x)C(x)H(x)O which sets in motion a cascade of breaking symmetries: Spin(10) > PatiSalam > LeftRight symmetric > Standard model + BL (both pre and postHiggsmechanism). These complex structures derive from the octonions, then from the quaternions, then from the complex numbers.
Division algebraic symmetry breaking
Cohl Furey
Humboldt University of Berlin
Can the 32Cdimensional algebra RCHO offer anything new for particle physics? Indeed it can. Here we identify a sequence of complex structures within RCHO which sets in motion a cascade of breaking symmetries: Spin(10) > PatiSalam > LeftRight symmetric > Standard model + BL (both pre and postHiggsmechanism). These complex structures derive from the octonions, then from the quaternions, then from the complex numbers. It should be noted that this pattern would not have been obvious within the standard formalism.