Dual Dynamic theory
A theory based on dual dynamics (propagation and confinement) is proposed in a mathematical framework including a redefinition of quantum states, creation and annihilation operators, fermions and bosons distinction but also of colored charges and spins. Particles interactions are found to be either direct (fermion-fermion) or indirect (mediated by bosons), as a consequence of a revisited wave-particle duality. Fundamental interactions as well as elementary particles naturally emerge from the dual driving equations applied to vector potential states. They are qualitatively compared to the content of the Standard Model, evidencing some interesting features such as confinement, hierarchy, and parity violation. Introducing nonlinear coupling terms further allows the appearance of a photon wave function and a ``composite graviton field'' and is foreseen to produce generations of particles through a self trapping mechanism. In the last part, cosmology is analyzed in the framework of the dual dynamics theory. The non-linearities generate Bose-Einstein condensates leading to black-holes through attracting potentials. Quasars and blazars also emerge with the introduction of ``jet-particles'' originating from the Legendre function of the second kind. Non-baryonic matter finally shows up in the present theory. It can form ``dark'' Bose-Einstein condensate creating halos around black-holes. A new definition of the equivalence principle between inertial and gravitational masses is proposed allowing anti-particles to have negative gravitational masses without violating the usual test experiments. This renews the concept of anti-gravity, which plays the role of dark-energy in the present theory. Finally the universe time-line is envisioned in the context of the coupled and nonlinear dual equations (propagation and confinement), requiring to revisit the Big-Bang and inflation mechanisms, the latter being attributed to a superluminal expansion, which is allowed by the nonlinear terms.
Link to the open archive HAL: G. Bachelier. Dual Dynamics theory. 2015. <hal-01249268>
Link to the pdf file: Dual Dynamics theory