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In this work we consider some consequences of the Bohr-Sommerfeld-Hansson(Old or quasi-classical) quantum theory of the Newtonian gravity, i.e. of the"gravitational atom". We prove that in this case (for gravitational centralforce and quantized angular momentum) centrifugal acceleration becomesformally-theoretically dependent (proportional to fourth degree) of the mass of"gravitational electron" rotating around "gravitational nucleus" for anyquantum number (state). It seemingly leads toward a paradoxical breaking of therelativistic equivalence principle which contradicts to real experimental data.We demonstrate that this equivalence principle breaking does not really appearin the (quasi classical) quantum theory, but that it necessary appears only ina hypothetical extension of the quantum theory that needs a classical likeinterpretation of the Bohr-Sommerfeld angular momentum quantization postulate.It is, in some sense, similar to Bell-Aspect analysis that points out that ahypothetical deterministic extension of the quantum mechanics, in distinctionto usual quantum mechanics, can reproduce experimental data if and only if itis non-local (superluminal) in contradiction with relativistic locality(luminality) principle.

Can Equivalence Principle be consistent with the Bohr-Somerfeld-Hansson Theory of the Newtonian Gravity