Relativity and Cosmology

    

Inertial Force in the D’Alambertian Formalism of Mechanics

Authors: Wenceslao Segura

We argue that the inertial force is a real force of gravitational origin. Specifically, it is a passive induction force that arises when a test particle accelerates relative to the gravitational field of the Universe. In the classical approximation this force depends linearly on the acceleration and has the opposite direction, allowing us to identify it with the classical inertial force. Using the d'Alembertian formalism of mechanics, we demonstrate that the inertial force arises from the interaction of the particle with the cosmic gravitational field, thus providing a consistent implementation of Mach's principle.

Comments: 8 Pages.

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[v1] 2025-07-06 07:39:53

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