A method constructs closed string trajectories from open string seeds dressed by symplectic algebra generators via Howe duality, with physical states identified by solving Diophantine recursion relations.
Unrav- eling the spectrum of the open string
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Tree-level gravitational scattering under the equivalence principle mandates single-particle states in all irreducible representations constructible from a single seed charge, with equal interaction strengths.
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Closed string trajectories from a new "tiling"
A method constructs closed string trajectories from open string seeds dressed by symplectic algebra generators via Howe duality, with physical states identified by solving Diophantine recursion relations.
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The Equivalence Principle at High Energies Completes the Spectrum
Tree-level gravitational scattering under the equivalence principle mandates single-particle states in all irreducible representations constructible from a single seed charge, with equal interaction strengths.