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19932014
most citedDivision Algebras; Spinors; Idempotents; The Algebraic Structure of Reality

10 citations · 41 across the 14 of their papers we have counts for

collaborators

14 papers

physics.gen-ph2014★ 10 cited

Seeable matter; unseeable antimatter

Geoffrey Dixon

The universe we see gives every sign of being composed of matter. This is considered a major unsolved problem in theoretical physics. Using the mathematical modeling based on the a…

hep-th2010★ 10 cited

Division Algebras; Spinors; Idempotents; The Algebraic Structure of Reality

Geoffrey M Dixon

A carefully constructed explanation of my connection of the real normed division algebras to the particles, charges and fields of the Standard Model of quarks and leptons provided…

hep-th2010

Integral Octonions, Octonion XY-Product, and the Leech Lattice

Geoffrey Dixon

The integral octonions arise from the octonion XY-product. A parallel is shown to exist with the quaternion Z-product. Connections to the laminated lattices, , , $Λ_{…

hep-th1999

(1,9)-spacetime --> (1,3)-spacetime: Reduction => U(1)xSU(2)xSU(3)

Geoffrey Dixon

A derivation of the standard symmetry and leptoquark family structure is presented that is more straightforward than a previous derivation.

hep-th1999

Division Algebras: 26 Dimensions; 3 Families

Geoffrey Dixon

The link of the Division Algebras to 10-dimensional spacetime and one leptoquark family is extended to 26-dimensional spacetime and three leptoquark families.

hep-th1996

Octonion X,Y-Product Variants

Geoffrey Dixon

The automorphism group of the octonions changes when octonion X,Y-product variants are used. I present here a general solution for how to go from to its X,Y-product…