Abstract

Even if the discovery of the Higgs boson should be confirmed, the theoretical physics building is far from being complete. Essential everyday experience like dissipation and irreversibility are not naturally included in the formalism of classical and quantum mechanics. Quantum mechanics, as a supposedly linear theory, is then by definition not able to include the majority of processes in nature that obey nonlinear evolution equations. Also thermodynamics as a phenomenological theory and cosmology (including gravity) reside on yet different floors in this building. In this paper, it will be shown how a reformulation of quantum mechanics in terms of complex Riccati equations might allow for a unification of these afore-mentioned aspects in terms of the same formalism.

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