Table of Contents: “...Introduction -- Field Space Covariance -- Frame Covariance in Quantum Gravity -- Field Space Covariance for Fermionic Theories -- The Eisenhart Lift -- Cosmic Inflation -- Geometric Initial Conditions for Inflation -- Conclusions -- Appendices....”

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Table of Contents: “...Introduction -- Equivalence between dark matter and modified gravity -- Gravitational waves in quantum gravity -- Backreaction of quantum gravitational modes -- Higgs-Starobinsky inflation -- Vacuum stability during inflation -- Conclusions -- Appendix....”

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