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Quantum Null Geometry and Gravity

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arxiv 2407.11132 v2 pith:4DVTF4HZ submitted 2024-07-15 hep-th gr-qcquant-ph

classification hep-thgr-qcquant-ph
keywords nullquantumanalysisareacentralchargegravityassociated
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In this work, we demonstrate that quantizing gravity on a null hypersurface leads to the emergence of a CFT associated with each null ray. This result stems from the ultralocal nature of null physics and is derived through a canonical analysis of the Raychaudhuri equation, interpreted as a constraint generating null time reparametrizations. The CFT exhibits a non-zero central charge, providing a mechanism for the quantum emergence of time in gravitational systems and an associated choice of vacuum state. Our analysis reveals that the central charge quantifies the degrees of freedom along each null ray. Throughout our investigation, the area element of a cut plays a crucial role, necessitating its treatment as a quantum operator due to its dynamic nature in phase space or because of quantum backreaction. Furthermore, we show that the total central charge diverges in a perturbative analysis due to the infinite number of null generators. This divergence is resolved if there is a discrete spectrum for the area form operator. We introduce the concept of `embadons' to denote these localized geometric units of area, the fundamental building blocks of geometry at a mesoscopic quantum gravity scale.

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Cited by 14 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quantization of Gravity on Null Hypersurfaces

    hep-th 2026-07 conditional novelty 7.0 of 10

    An operator-algebraic quantization of the characteristic initial-value problem yields a candidate on-shell algebra for a gravitational subregion bounded by two null hypersurfaces.

  2. Gravitational Memory Beyond Null Infinity through Finite-Distance Carrollian Screens

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    Finite-distance null screens carry a Carrollian memory whose leading tracefree large-radius part reproduces the standard Bondi displacement memory in Robinson–Trautman spacetimes.

  3. Quantum Geometry from Area Fluctuations

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    Derives a thermal fluctuation formula for causal-diamond boundary area with a linear term of Verlinde-Zurek scaling interpreted as statistical evidence for discrete quanta of geometry.

  4. An algebra of proper observables at null infinity: Dirac brackets, Memory and Goldstone probes

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    The algebra of proper observables at null infinity admits Goldstone probes that measure the memory mode, but none can be built from shear or news alone, and the Dirac brackets acquire non-local corrections.

  5. An algebra of proper observables at null infinity: Dirac brackets, Memory and Goldstone probes

    hep-th 2026-05 unverdicted novelty 6.0 of 10

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    The noise spectrum an interferometer would see from quantum spacetime jitter is computed for vacuum, thermal, squeezed, and scalar-backreaction states; all are Planck-suppressed.

  7. From Asymptotically Flat Gravity to Finite Causal Diamonds

    hep-th 2025-12 unverdicted novelty 6.0 of 10

    The soft sector phase space of asymptotically flat gravity equals the phase space of radial size fluctuations of a finite causal diamond in flat spacetime.

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  9. Foundational Structure of Local Amplitudes in Quantum Gravity

    gr-qc 2025-08 conditional novelty 6.0 of 10

    Local amplitudes for causal diamonds can be constructed from null-slab boundary states, projectors, and vacuum intertwiners, with Ward identities and charge conservation as consequences.

  10. Mapping the Infrared Phase Space of Gravity to Finite Subregions

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Phase space of arbitrary null cut in Minkowski spacetime is symplectomorphic to infrared phase space of asymptotically flat gravity, mapping cut fluctuations to leading soft graviton mode and supertranslation Goldston...

  11. Geometric noise spectrum in interferometers

    hep-th 2026-01 unverdicted novelty 5.0 of 10

    Computes UV-finite noise spectra in interferometers from graviton fluctuations in vacuum/thermal/squeezed states and from massless scalar vacuum stress-energy, all Planck-suppressed.

  12. Black hole thermodynamics at null infinity. Part 1: Dual Generalized Second Law

    hep-th 2026-01 conditional novelty 5.0 of 10

    At future null infinity, the generalized second law for a Schwarzschild black hole becomes the monotonic decrease of a free energy, or grand potential, constructed from the Bondi mass and angular-mode chemical potentials.

  13. From Asymptotically Flat Gravity to Finite Causal Diamonds

    hep-th 2025-12 conditional novelty 5.0 of 10

    The angle-averaged soft and Goldstone modes of 4D asymptotically flat gravity are symplectically identified with the radial-size and area-edge modes of a spherically symmetric Minkowski causal diamond.

  14. Effective density matrix for vacua in asymptotically flat gravity

    hep-th 2025-09 conditional novelty 5.0 of 10

    The vacuum of a large causal diamond in asymptotically flat gravity is claimed to be a Gaussian in the supertranslation Goldstone mode, giving modular Hamiltonian variance A/epsilon squared.

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