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Mach's principle asserts that the inertial mass of a body is related to thedistribution of other distant bodies. This means that in the absence of otherbodies, a single body has no mass. In this case, talking about motion is notpossible, because the detection of motion is possible only relative to otherbodies. But in physics we are faced with situations that are not fully Machian.As in the case of general theory of relativity where geodesics exist in theabsence of any matter, the motion has meaning. Another example which is themain topic of our discussion, refers to Bohmian quantum mechanics, where theinertial mass of a single particle does not vanish, but is modified. We cancall such situations in which motion or mass of a single particle has meaning,pseudo-Machian situations. In this paper, we use the Machian or pseudo-Machianconsiderations to clarify under what circumstances and how a Machian effectleads us to Bohmian quantum mechanics. Then, we shall get the Bohmian quantumpotential and its higher order terms for the Klein-Gordon particle throughMachian considerations, without using any quantum mechanical postulate oroperator formalism.

Some clarifications on the relation between Bohmian quantum potential and Mach's principle