Mitigating Synchrotron Photon Noise via Evanescent Bandgap Barriers for Laboratory Graviton Counting: A Conceptual Framework

The direct isolation of individual gravitons remains the ultimate frontier in quantum gravity. Recentbreakthroughs regarding the gravito-phononic effect have proven that macroscopic bulk acousticresonators cooled to their ground states can resolve single-graviton absorption via quantum jump statistics.However, terrestrial generation of localized gravitational waves via ultra-relativistic acceleratorsinherently floods detectors with an unmanageable background of synchrotron photons. This paper proposesa formal technical design for a System for Evanescent Filtration and Quantum Detection of Gravitons(SEF-QDG). By implementing a multi-layered barrier combining an active thermally anchored 3Dphotonic crystal with a levitated monocrystalline Beryllium resonator, we demonstrate that multi-MeVelectromagnetic noise can be suppressed by twelve orders of magnitude via wave evanescence, while thegraviton signal permeates unhindered due to gravitational transparency. Modeled against the nominalbeam parameters of the Future Circular Collider (FCC-ee) at CERN, we evaluate the implementationchallenges, proving that a mechanical quality factor Q ≥ 109 at 10 μK achieves a phonon coherence timeof ≈ 864 seconds, mathematically decoupling single-graviton events from intrinsic quantum and thermalnoise floors and enabling localized quantum gravity verification.