In this study, we consider dark matter and dark energy as grand-canonical systems which are open, non-equilibrium coupled, and interacting systems. It is the first time, we propose a new more realistic interaction schema to explain dynamics between coupled interacting thermodynamic systems. Based on this new interaction schema, we propose new theories to define the interactions. We proved the theories based on the energy conservation law of thermodynamics. Furthermore, we obtain new coupled equations using the theorems. We numerically solve the interaction equations and obtained phase space diagrams and Lyapunov exponents. We show that the interaction between dark matter and dark energy is chaotic. We conclude that these theorems and results can be generalized to all coupled interacting non-equilibrium systems. Finally, we give a new definition of chaos.
It is common knowledge that there are unresolved problems in particle physics and cosmology. Among these, the physical origin of dark matter and dark energy and their interactions have an important place. Recently, we have shown that interaction models can solve some significant problems in physical cosmology. In this study, we will briefly summarize the results of these studies to highlight the importance of the matter, dark matter, and dark energy interactions. We also state that understanding the physical origin and interactions of the dark side can play an essential role in creating a new physics perspective by coherently combining particle physics and cosmology.
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