The Theory of Local Inertial Mass Reduction: Foundations and Astrophysical Implications

Abstract: This work presents the Theory of Local Inertial Mass Reduction (LIMR), a novel relativistic framework in which the inertial mass of a body becomes a local function of physical conditions such as magnetic field intensity, rotation, and plasma density. The theory introduces a scalar field ψ(x^μ) that modulates inertia without altering spacetime curvature, leading to a modified form of Newton’s second law and Einstein's field equations. The LIMR theory provides an alternative explanation for phenomena typically attributed to dark matter, such as galactic rotation curves and gravitational anomalies, by reducing the local inertial resistance rather than invoking additional invisible mass. Its equations are derived from a covariant Lagrangian, ensuring consistency with general relativity, and it offers testable predictions on planetary orbits, laboratory experiments, and cosmological observations. This publication aims to establish a conceptual and mathematical foundation for future experimental validation and invites critical review from the scientific community. --- Keywords: inertial mass, scalar field, relativistic dynamics, dark matter alternative, modified inertia, local inhomogeneity, general relativity extension, LIMR theory, galaxy rotation curves, gravitational anomalies