Abstract
The case of a virtual bosonic scalar field ϕ(x) gravitationally coupled in a conformally flat spacetime is investigated. The action S is known to be Weyl invariant only for specific expressions of the potential V(ϕ). In the conformally flat FLRW case the harmonic angular frequency ωk (η) becomes uniquely temporally independent. Therefore, any inertial observers embedded in a conformally flat FLRW spacetime all agree on the choice of virtual vacuum states. We postulate that the wavenumber k must be quantized in order to be able to regulate the vev by zeta regularization. Some fundamental implications of this result are derived, and likely conclusions drawn.
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