Collider events are represented as multivectors in Cl(1,3) ⊗ V_flav whose grade projections recover standard observables, intended as input for equivariant foundation models.
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Using the Algebra of Physical Space and Scattering Algebra, the authors establish equivalences for spin-1/2 fields with the CSM, propose maps for Wigner-covariance, analyze Lagrangians geometrically, and derive the first APS-based scattering amplitude which produces an anti-Hermitian term.
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Geometric algebra as the input language of collider foundation models
Collider events are represented as multivectors in Cl(1,3) ⊗ V_flav whose grade projections recover standard observables, intended as input for equivariant foundation models.
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The Scattering Algebra of Physical Space: Wigner-Covariance and Fields
Using the Algebra of Physical Space and Scattering Algebra, the authors establish equivalences for spin-1/2 fields with the CSM, propose maps for Wigner-covariance, analyze Lagrangians geometrically, and derive the first APS-based scattering amplitude which produces an anti-Hermitian term.