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Gauge-invariant bounce from loop quantum gravity
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We present a gauge-invariant treatment of singularity resolution using loop quantum gravity techniques with respect to local SU(2) transformations. Our analysis reveals many novel features of quantum geometry which were till now hidden in models based on non-gauge-invariant discretizations. Quantum geometric effects resolve the big bang singularity replacing it with a non-singular bounce when spacetime curvature reaches Planckian value. The bounce is found to be generically asymmetric in the sense that pre-bounce and post-bounce branches are not mirrored to each other and effective constants, such as Newton's constant, are rescaled across the bounce. Furthermore, in the vicinity of the bounce, minimally coupled matter behaves as non-minimally coupled. These ramifications of quantum geometry open a rich avenue for potential phenomenological signatures.
Forward citations
Cited by 3 Pith papers
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Some physical implications of regularization ambiguities in SU(2) gauge-invariant loop quantum cosmology
In Thiemann-regularized loop quantum cosmology, the mu0 scheme produces pre-bounce emergent matter with equation of state w = -1/3 (string gas), while the bar-mu scheme produces an emergent cosmological constant, and ...
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New Loop Quantum Cosmology Modifications from Gauge-covariant Fluxes
Gauge-covariant flux corrections in loop quantum cosmology produce an asymmetric quantum bounce with a (2/pi)^4 rescaling of Newton's constant in the pre-bounce branch.
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Perspectives on the dynamics in a loop quantum gravity effective description of black hole interiors
Two new effective Hamiltonians for the Kantowski-Sachs black hole interior are derived from loop quantum gravity regularization, and both resolve the singularity while differing from the standard polymer Hamiltonian.
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