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Spherically Symmetric Quantum Geometry: States and Basic Operators

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abstract

The kinematical setting of spherically symmetric quantum geometry, derived from the full theory of loop quantum gravity, is developed. This extends previous studies of homogeneous models to inhomogeneous ones where interesting field theory aspects arise. A comparison between a reduced quantization and a derivation of the model from the full theory is presented in detail, with an emphasis on the resulting quantum representation. Similar concepts for Einstein-Rosen waves are discussed briefly.

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2025 1

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representative citing papers

Emergent field theory

gr-qc · 2025-07-22 · conditional · novelty 5.0

Spacetime geometry and Yang-Mills field strengths are generated from phase-space structure functions, yielding modified gravity and gauge theories with no new degrees of freedom.

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  • Emergent field theory gr-qc · 2025-07-22 · conditional · none · ref 42 · internal anchor

    Spacetime geometry and Yang-Mills field strengths are generated from phase-space structure functions, yielding modified gravity and gauge theories with no new degrees of freedom.