The lepton Brusselator - Creation of structure in the early Universe

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Broken Symmetry, Cosmology, Leptons, Space-Time Functions, Universe, Astronomical Models, Astrophysics, Self Organizing Systems, Systems Stability

Scientific paper

The creation of structure in the lepton era of the early Universe is discussed in terms of a suitably chosen dynamical system of Brusselator type. A bifurcation analysis is performed and a criterion is extracted for the onset of instabilities in the system which in turn lead to self-organizing processes in the associated conglomerate of elementary particles. This may be interpreted as a symmetry-breaking mechanism which might be responsible for the creation of protostructures on space-time due to density fluctuations, the latter controlling the further agglomeration of matter once matter and radiation have decoupled at a temperature level of some 4000 K. The influence of curvature is discussed in considering a background of Bianchi type I with respect to the onset of instability, and the notion of a local concept on space-time is reviewed from an interactive point of view.

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