Abstract
It has been predicted that, if gravitational wave reflectors exist, two such parallel plane gravitational mirrors separated by an empty gap will interact not only via the well-known Casimir effect of quantum electrodynamics but also because of an analogous gravitational Casimir force. It has been further claimed that this phenomenon would demonstrate the existence of gravitons. In this note, we discuss epistemological pitfalls of such a conclusion connected to the logical structure of the Lifshitz theory and we show such an experiment cannot prove gravity quantization. We also expose interpretative challenges of any future data due to extreme uncertainties on the spectrum of the predicted stochastic astrophysical and cosmological gravitational wave background.
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