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In his sixth problem, Hilbert called for an axiomatic approach to theoreticalphysics with an aim to achieve precision and rigour in scientific reasoning,where logic and language (semantics) of physics play the pivotal role. It isfrom such a point of view, we investigate the scientific value of the modernexperiments to perform quantum tests of equivalence principle. Determination ofPlanck constant involves the use of acceleration due to gravity of the earth$(g)$ that results in the force on a test mass. The equivalence betweeninertial mass and gravitational mass of a test object is assumed in the processof logically defining $g$ from the relevant hypotheses of physics.Consequently, if Planck constant is used as input in any experiment (or in theassociated theory that founds such an experiment) that is designed to test theequivalence between inertial and gravitational mass, then it is equivalent toestablish a scientific truth by implicitly assuming it i.e. a tautology. Thereare several notable examples which plague the frontiers of current scientificresearch which claim to make quantum test of equivalence principle. We questionthe scientific value of such experiments from Hilbert's axiomatic point ofview. This work adds to the recently reported semantic obstacle in anyaxiomatic attempt to put "quantum" and "gravity" together, albeit with anexperimental tint.

Scientific value of the quantum tests of equivalence principle in light of Hilbert's sixth problem