The quantum-mechanical foundations of gravity

Starting from quantum mechanics, it is possible to derive gravitational attraction between two elementary masses by using a mathematical description called complementary language. This method incorporates the quantization of Planck and the uncertainty relations of Heisenberg from scratch. Important in the description is the conception of space as an independent entity, not as a lack of matter; its potential is considered as equal to that of mass. In this way the uncomfortable duality that exists in early 20th century quantum mechanics between particle and wave character is changed into a duality between mass and space. A numerical example demonstrates that this new theory encompasses the old one, by calculating the radius of protons. By representing the mathematical descriptions in real time and space, taking full account of physical restrictions, gravity appears as an intrinsic feature of timespace objects. Thus a bridge between quantum mechanics and gravity is found. Based upon these results, a description of black matter and of the Higgs particle is found.