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Primordial fluctuations from quantum gravity: 16-cell topological model

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arxiv 2312.02399 v1 pith:J3P3GLR7 submitted 2023-12-04 gr-qc

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keywords quantumcelldefinedfluctuationsgravityaffectanalysiscase
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We present a numerical analysis of an Hartle-Hawking state for the early universe, in the deep quantum regime, computed using the covariant Loop Quantum Gravity formalism, in a truncation defined by 16-cell and in a simplified case where the dynamics is defined by SU(2) BF theory. We compute mean geometry, fluctuations and correlations. The results are consistent with the hypothesis that refining the triangulation does not affect the global physical picture substantially.

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    A 2+1 Lorentzian spin-foam cosmology model with a Hessian-derived measure and a massive scalar field yields convergent partition functions, with semi-classical expectation values only in the causally regular sector an...

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