Higher gravitational pressure and lower acceleration due to gravity are explained by considering only the mass below a given point, as the mass above exerts an upward pull. The gravitational field can be described using Gauss' law, which relates the gravitational force to the mass enclosed within a sphere centered on the Earth. The gravitational potential inside the Earth is equivalent to that created by a point mass at the core, dependent solely on the mass beneath the observer. As one goes deeper, the gravitational attraction decreases, leading to lower acceleration. Understanding these concepts requires familiarity with gravitational theory, which has taken significant time to develop.