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This lecture covers the Einstein Equivalence Principle, which states that the laws of Physics reduce to those of Special Relativity in small spacetime regions. It explores the minimal coupling principle and the concept of gravity as geometry, illustrating how different inertial trajectories move with respect to each other. The instructor discusses experimental observations related to the Equivalence Principle, highlighting the equivalence between inertial and gravitational mass. The lecture also delves into the implications of gravity not being a force but a description of inertial trajectories. Furthermore, it explains how the laws of Physics in Special Relativity can be written in coordinate-invariant form. The presentation concludes with the geodesic equation and the generalization of Newtonian Gravity equations.