Mach's principle and inertial mass
What is really the relationship between the inertial mass of a body and the rest of the mass of universe (as stars). We treat these stars as fixed shells that are isotropically accelerating away form our point mass. And yet Gauss's law tells us that there is no gravitional or electromagnetic force (for that matter) within a 3-dimensional annulus (shell) of matter (charged or not) How can these receding sheels of matter give rise to the inertial quality of matter.
The equivalence (in the strongest sense) principle states that only locally we cannot distinguish freely falling (inertial) frames of reference from particles under the influence of gravity.