Frame dragging and the Hong-Ou-Mandel dip: Gravitational effects in multiphoton interference

We investigate the Hong-Ou-Mandel (HOM) effect $-$ a two-photon quantum-interference in space-time of rotating spherical mass. In particular, we analyze common-path HOM setup restricted to surface earth and show that, principle, general-relativistic frame-dragging induces observable shifts dip. For completeness correspondence with current literature, also emergence gravitational time-dilation effects interference, for dual-arm configuration. The formalism thus presented establishes basis encoding into local, multi-photon, experiments. Demonstration these instances would signify genuine observations quantum general relativistic effects, tandem, extend domain validity relativity, arena quantized electromagnetic fields.