Dynamical Emergence of FRW Cosmological Models - General Relativity and Quantum CosmologyReportar como inadecuado




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Abstract: Recent astronomical observations strongly indicate that the current Universeis undergoing an accelerated phase of expansion. The discovery of this fact wasunexpected and resulted in the comeback of cosmological constant. Theconception of standard cosmological model has its roots in this context. Thepaper relates to the methodological status of effective theories in the contextof cosmological investigations. We argue that the standard cosmological modelLCDM model as well as the CDM have a status of effective theories only,similarly to the standard model of particle physics. The LCDM model is studiedfrom the point of view of the methodological debate on reductionism andepistemological emergence in the science. It is shown in the paper thatbifurcation as well as structural instability notion can be useful in thedetection of emergence the LCDM model from the CDM model. We demonstrate thatthe structural stability of the LCDM model can explain the flexibility of themodel to accommodation of the observational data. We show that LCDM model canbe derived from CDM as the bifurcation. It is an example of acausal derivationof Lambda term. The case study of emergence of LCDM model suggests that it canbe understood in terms of bifurcation and structural stability issue. Thereduction from the upper models represented in terms of dynamical system tolow-level ones can be realized in any case by application of a mathematicallimit boundary crossing with respect to the model parameter. It is a simpleconsequence of mathematical theorem about smooth dependence solutions withrespect to time, initial condition and the parameters.



Autor: Marek Szydlowski, Pawel Tambor

Fuente: https://arxiv.org/







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