Derives Standard Model from Dirac Lagrangian in 8D spacetime via Clifford algebra embedding, with SM gauge group as redundancy, four families, Spin(8) triality for strong force, and generalized Koide mass hierarchy.
Quantized Fields \`a la Clifford and Unification
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abstract
It is shown that the generators of Clifford algebras behave as creation and annihilation operators for fermions and bosons. They can create extended objects, such as strings and branes, and can induce curved metric of our spacetime. At a fixed point, we consider the Clifford algebra $Cl(8)$ of the 8-dimensional phase space, and show that one quarter of the basis elements of $Cl(8)$ can represent all known particles of the first generation of the Standard model, whereas the other three quarters are invisible to us and can thus correspond to dark matter.
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2025 1verdicts
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Spacetime Grand Unified Theory
Derives Standard Model from Dirac Lagrangian in 8D spacetime via Clifford algebra embedding, with SM gauge group as redundancy, four families, Spin(8) triality for strong force, and generalized Koide mass hierarchy.