We present a falsifiable framework for generating and detecting path entanglement mediatedby Newtonian gravity between two mesoscopic masses using pure motional interferometry. Eachmass is prepared in a spatial superposition of two paths with separation ∆x, the pair is heldfor an interaction time T at mean separation r, and then recombined locally. The gravita-tional interaction imprints branch-dependent phases ϕij = (Gm1m2T /ℏ) r−1ij on the four branches (i, j) ∈ +, −2, yielding a two-qubit controlled-phase operation whose gauge-invariant nonlocalphase is ∆ϕ = ϕ++ + ϕ−− − ϕ+− − ϕ−+ = (Gm1m2T /ℏ) (r−1++ + r−1−− − r−1+− − r−1−+). For a symmet-ric r ± ∆x geometry, ∆ϕ = (Gm2T /ℏ) (2/r − 1/ (r + ∆x) − 1/ (r − ∆x) ) ≈ −2Gm2T ∆x2/ (ℏr3) for∆x ≪ r. We show how ∆ϕ (r, ∆x, T) appears as a geometry-modulated template in joint outputstatistics after recombination, and we formulate an inference protocol based on (i) template regres-sion across controlled modulations of r, ∆x, T and (ii) independent bounds and control experimentsthat constrain nongravitational interactions below the fitted template amplitude. Because the oper-ating point of interest can lie in the weak-phase regime (|∆ϕ| ≪ 1), we treat Bell-inequality violationas optional rather than primary; the escalation to an entanglement claim is framed in terms of ex-perimentally accessible two-qubit witnesses obtained from multi-basis correlation measurements onthe path degrees of freedom, together with a quantitative “no-template-match” falsifier.
SIKX HILTON (Tue,) studied this question.