Can the universe's mass distribution explain the origins of quantum mechanics? This theoretical paper explores the connection between general relativity and quantum mechanics by considering the indeterminable part of the mass distribution in general relativity as a fluctuation from the Robertson–Walker geometry. It shows that an ensemble given by a coarse graining of the fluctuation yields a random motion of a particle in the universe, equivalent to traditional quantum mechanics. The theory leads to an additional potential proportional to scalar curvature. The random motion is the equivalent of traditional quantum mechanics. The potential may be a representation of Mach's principle. This research offers a novel perspective on the foundations of quantum mechanics by linking it to cosmological fluctuations. The potential may represent Mach's principle and could open new avenues for exploring the interplay between gravity and quantum phenomena and provide valuable insight to physicists.
Published in International Journal of Modern Physics A, this article aligns with the journal's focus on theoretical and mathematical physics. The exploration of the relationship between general relativity and quantum mechanics is a central theme in modern physics, making this paper highly relevant to the journal's readership. By proposing a new theoretical framework, the research contributes to ongoing efforts to unify fundamental physical theories.