Exact Dragging of Inertial Axes by Cosmic Energy-Currents on the Past Light-Cone

TL;DR

This paper proves that cosmic energy-currents can precisely drag inertial axes in line with Mach's principle within linear perturbations of cosmological models, confirming a fundamental aspect of inertia in the universe.

Contribution

It establishes an exact mathematical proof that cosmic energy-currents cause rotational dragging of inertial axes in linear cosmological perturbations, validating Mach's principle.

Findings

Exact rotational dragging of inertial axes by cosmic energy-currents

Validation of Mach's principle in linear cosmological perturbations

Mathematical proof within Friedmann-Robertson-Walker cosmologies

Abstract

We prove exact rotational dragging of local inertial axes (= spin axes of gyroscopes) by arbitrary cosmic energy-currents on the past light-cone of the gyroscope for linear perturbations of Friedmann-Robertson-Walker cosmologies. Hence the principle formulated by Mach holds for arbitrary linear cosmological perturbations.