Defining Mach's Principle in a Topological World

A very general statement of Mach's principle: Local physical laws are determined by the large-scale structure of the universe. It implies the existence of a background, causal (geometric) and/or acausal (topological). Discovery of the quantum Hall impedance opened a window for topology in experimental physics. Impedance matching governs amplitude and phase of energy flow, of information transmission. Topological impedances are of rotations, of Newton's bucket. They are acausal, communicate only relative phase, not a single measurement observable. Resultant motion is perpendicular to applied force, the gyroscope. Absence of an independent observer distinguishes quantum from classical. The simplest possible example is that of the background independent two-body problem, where rotation relative to large-scale structure of the universe is not observable. This suggests Mach's principle is applicable only to the scale-invariant topological impedances. We seek to define Mach's principle in light of this limitation.