Abstract
The status of the gravitational principle of equivalence is obscure on the atomic scale, where quantum processes are relevant. On the assumption that a fundamental principle ought to apply to fundamental particles, we examine the principle of equivalence in a quantum context. We treat linearized gravitational perturbations as a massless, spin-two, gauge field coupled to itself and to matter, and argue that a consistent theory of this type, based on an action principle, is impossible unless the gravitational coupling is universal. The argument derives from a set of consistency conditions connecting successive orders of the perturbation expansion. We illustrate this consistency argument for scalar electrodynamics, and prove that the scalar particles must couple to gravity with the same strength as photons.
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4. f One could appeal in de Sitter space to the irreducible representations of the de Sitter
5. group to fix the zero-order wave equations.
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