Quantum Gravity and String Theory


The Tetron Model in 6+1 Dimensions

Authors: Bodo Lampe

The possibility of a 6+1 dimensional spacetime model being the fundamental theory for elementary particle interactions is explored. The dynamical object is an (octonion) spinor defined over a spacetime lattice with S8 permutation symmetry which gets broken to S4 x S4. Electroweak parity violation is argued to arise from the interplay of the two permutation groups S4 or eventually from the definition of the octonion product. It corresponds to a change in sign for odd permutation lattice transformations and is shown to suggest a form for the Hamiltonian.

Comments: 14 pages.

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Submission history

[v1] 5 Apr 2011

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