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General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
Abstract:
In the context of group field theory condensate cosmology, we clarify the
extraction of cosmological variables from the microscopic quantum gravity
degrees of freedom. We show that an important implication of the second
quantized formalism is the dependence of cosmological variables and equations
on the quantum gravitational atomic number N (number of spin network
vertices/elementary simplices). We clarify the relation of the effective
cosmological equations with loop quantum cosmology, understood as an effective
(hydrodynamic-like) approximation of a more fundamental quantum gravity theory.
By doing so, we provide a fundamental basis to the idea of lattice refinement,
showing the dependence of the effective cosmological connection on N, and hence
indirectly on the scale factor. Our results open a new arena for exploring
effective cosmological dynamics, as this depends crucially on the new
observable N, which is entirely of quantum gravitational origin.
