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arXiv · 2505.02925

Pre-geometric Einstein-Cartan Field Equations and Emergent Cosmology

Giuseppe Meluccio
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Abstract

The field equations of pre-geometric theories of gravity are derived and analysed, both without and with matter. After the spontaneous symmetry breaking that reduces the gauge symmetry of these theories \`a la Yang-Mills, a metric structure for spacetime emerges and the field equations recover both the Einstein and the Cartan field equations for gravity. A first exact solution of the pre-geometric field equations is also presented. This solution can be considered as a pre-geometric de Sitter universe and provides a possible resolution for the problem of the Big Bang singularity.

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Giuseppe Meluccio. 2025-05-05. Pre-geometric Einstein-Cartan Field Equations and Emergent Cosmology. https://doi.org/10.1103/kysy-z41p

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