The Equivalence Principle at High Energies Completes the Spectrum

TL;DR

The paper proves a high-energy completeness hypothesis linking symmetry and gravity, showing that universal scattering behavior implies the existence of all possible single-particle states from a seed charge.

Contribution

It introduces a new completeness hypothesis derived from symmetry and gravity, assuming universal high-energy scattering behavior.

Findings

All irreducible representations are realized from a single seed charge.

New states contribute equally to scattering interactions.

High-energy behavior is universal regardless of charge.

Abstract

We prove a version of the completeness hypothesis that follows from the coexistence of symmetry and gravity: tree-level gravitational scattering mandates single-particle states in all possible irreducible representations of the symmetry group constructible from a single seed charge. Our main assumption is that the leading high-energy behavior of scattering is universal irrespective of charge, thus satisfying the equivalence principle. Curiously, we discover that these newly-deduced states contribute democratically - that is, with equal interaction strengths - to scattering.