Generalised Uncertainty Principle Phase Shifts in Atom Interferometry: Computed Size Against Current Sensitivity

This paper computes the phase shift that a quadratic generalised uncertainty principle would imprint on a light-pulse atom interferometer and compares it with demonstrated phase sensitivity. With the dimensionless deformation parameter set to unity, the shift is 1.695e-50 radians, far below the representative sensitivity of 1.00e-04 radians adopted here. Only when the parameter reaches the vicinity of 1.695e-30 radians, corresponding to a deformation near 1e+20, does the shift approach detectability. Atom interferometry therefore constrains only extremely large deformations in this channel; it does not yet probe the natural order-unity regime. The study is simulated and computed from stated assumptions; it is not a measurement.