START : Inventio Principia Geometrica Physicae

Abstract.

We show that distributions in quadratic spaces are a fundamental clue to understand the structure of theoretical physics. Classical Physics is embedded within a 5-D flat quadratic space, 3 Space-, one Time- and one Action- like, basis manifold (Lorentz signature 1,4) faithfully providing a Relativistic Theory (START) describing Newtonian, Maxwell, geometrical optics and General Relativity as particular linear and quadratic forms of this (flat) START space. The concept of action and charges carriers, as the fundamental physical objects, is revised. Particles and their interactions are described from this point of view. Otherwise for the understanding of a quantum mechanical system, with all its intricacies, the theory is straightforwardly presented considering the “density” as a quadratic form and the quantum mechanical “wave function” as its corresponding linear form.