When a neutron star transitions into a black hole, its mass remains the same, but the gravitational pull becomes more concentrated due to the smaller volume. The gravitational attraction of a black hole at a given distance is equivalent to that of a neutron star of the same mass, meaning that the orbits of celestial bodies would not change if the Sun collapsed into a black hole. The inverse square law indicates that gravity increases as one approaches the black hole's center, allowing for significantly stronger gravitational effects at closer distances. Additionally, the discussion raises the question of whether black holes adhere to the Pauli Exclusion Principle, though this remains unresolved. Overall, the key takeaway is that while the gravitational pull of a black hole is intense near its event horizon, it does not exceed the gravitational pull of a neutron star at equivalent distances.