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The semiclassical approach in quantum gravity obtains the Schr\"odinger formalism for the wave function of metric perturbations or gravitons plus quantum gravity correcting terms in pure gravity; thus, in the inflationary scenario, we should expect correcting effects in the relic graviton (Zel'dovich) spectrum of the order of (λ/mPl²). These, on the other hand, could possibly be measured in a future experiment.
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J.L. Rosales (1997) studied this question.
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