= Freddy Cachazo
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<Freddy Cachazo> co-developed the <scattering equations> with <Song He> and <Ellis Ye Yuan>. Their work connected kinematic invariants with punctures on a sphere and provided an inductive solution method, together with a proof of <KLT orthogonality>.<Scattering Equations and KLT Orthogonality by Freddy Cachazo and others>[Abstract and inductive algorithm]{ref}
The resulting auxiliary geometry organizes calculations of massless-particle scattering without treating that sphere as physical spacetime.
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