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Frame-dragging removes the usual distinction between accelerated frames (which show gravitational effects) and inertial frames (where the geometry is supposedly free from gravitational fields). When a forcibly-accelerated body physically "drags" a coordinate system, the problem becomes an exercise in warped spacetime for all observers.
Contemporary physics, both Classical and Quantum, requires a notion of inertial reference frames. However, how to find a physical inertial frame in reality where there always exist random weak forces? In <ref name=Kamalov>{{cite book |title=Physics of Non-Inertial Reference Frames |author=Timur Kamalov |page=116 |url=https://arxiv.org/abs/1612.06712 |isbn=978-
suggest a description of the motion in non-inertial frames by means of inclusion of higher time derivatives. They may play a role of non-local hidden variables in a more general description complementing both classical and quantum mechanics.
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