Using FLRW cosmology to connect generalized uncertainty principle modifications to modified gravity shows that only Born-Infeld models remain natural in both settings.
Quantum geometry and the Schwarzschild singularity
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abstract
In homogeneous cosmologies, quantum geometry effects lead to a resolution of the classical singularity without having to invoke special boundary conditions at the singularity or introduce ad-hoc elements such as unphysical matter. The same effects are shown to lead to a resolution of the Schwarzschild singularity. The resulting quantum extension of space-time is likely to have significant implications to the black hole evaporation process. Similarities and differences with the situation in quantum geometrodynamics are pointed out.
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UNVERDICTED 3representative citing papers
A Hamiltonian is constructed that renders a deformed Poisson bracket spacetime theory canonical and covariant, enabling consistent coupling to scalar matter and dust.
Relational quantization of the Schwarzschild black hole interior resolves the singularity with a quantum bounce, finite Kretschmann scalar, bounded area, and black-hole-to-white-hole transition.
citing papers explorer
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Natural modification of quantum uncertainty, modified gravity, and cosmology
Using FLRW cosmology to connect generalized uncertainty principle modifications to modified gravity shows that only Born-Infeld models remain natural in both settings.
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Canonical form of a deformed Poisson bracket spacetime
A Hamiltonian is constructed that renders a deformed Poisson bracket spacetime theory canonical and covariant, enabling consistent coupling to scalar matter and dust.
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Relational quantum dynamics of the black hole interior: singularity resolution and quantum bounce
Relational quantization of the Schwarzschild black hole interior resolves the singularity with a quantum bounce, finite Kretschmann scalar, bounded area, and black-hole-to-white-hole transition.