Mach's Principle and the Origin of Inertia

B. Mashhoon

Mach's Principle and the Origin of Inertia

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arxiv 1509.01869 v2 pith:56L55QUM submitted 2015-09-07 gr-qc hep-th

B. Mashhoon This is my paper · ORCID

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keywords spininertiaintrinsiccouplingdiscussedmachmassorigin

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The current status of Mach's principle is discussed within the context of general relativity. The inertial properties of a particle are determined by its mass and spin, since these characterize the irreducible unitary representations of the inhomogeneous Lorentz group. The origin of the inertia of mass and intrinsic spin are discussed and the inertia of intrinsic spin is studied via the coupling of intrinsic spin with rotation. The implications of spin-rotation coupling and the possibility of history dependence and nonlocality in relativistic physics are briefly mentioned.

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Inertia
gr-qc 2025-02 conditional novelty 3.0 of 10

Intrinsic spin couples to gravity via rotation, producing a mass-independent gravitomagnetic Stern-Gerlach force that violates free-fall universality, but at an unmeasurably small level.

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