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20232026
most citedTowards quantum gravity with neural networks: Solving the quantum Hamilton constraint of U(1) BF theory

6 citations · 13 across the 8 of their papers we have counts for

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gr-qc2026

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity

Waleed Sherif

The Ashtekar-Lewandowski (AL) volume operator of loop quantum gravity is central to the Hamiltonian constraint, but its vertex action is usually obtained from dense spectral decomp…

gr-qc2026

Fuzzy-novae

Francesco Fazzini, Waleed Sherif

We propose a novel phenomenological model of quantum gravitational collapse inspired by loop quantum gravity that ensures a completely regular spacetime evolution. By incorporating…

gr-qc2026

Emergent Thiemann coherent states in the near-kernel sector of quantum reduced loop gravity

Ilkka Mäkinen, Hanno Sahlmann, Waleed Sherif

We study the near-kernel sector of the Hamiltonian constraint operator in the one-vertex model of quantum reduced loop gravity using variational Monte Carlo methods with neural qua…

gr-qc2026

Finding and characterising physical states of Euclidean Abelianized loop quantum gravity using neural quantum states

Hanno Sahlmann, Waleed Sherif

We study physical (near-kernel of constraints) states of 4-d Euclidean loop quantum gravity in Smolin's weak coupling limit on the complete graph using variational Monte Carl…

gr-qc2025

Deep learning spinfoam vertex amplitudes: the Euclidean Barrett-Crane model

Hanno Sahlmann, Waleed Sherif

Spinfoam theories propose a well-defined path-integral formulation for quantum gravity and are hoped to provide the dynamics of loop quantum gravity. However, it is computationally…

gr-qc2024★ 5 cited

Towards quantum gravity with neural networks: Solving quantum Hamilton constraints of 3d Euclidean gravity in the weak coupling limit

Hanno Sahlmann, Waleed Sherif

We consider 3-dimensional Euclidean gravity in the weak coupling limit of Smolin and show that it is BF-theory with as a Lie group. The theory is quantised using lo…

gr-qc2024★ 6 cited

Towards quantum gravity with neural networks: Solving the quantum Hamilton constraint of U(1) BF theory

Hanno Sahlmann, Waleed Sherif

In the canonical approach of loop quantum gravity, arguably the most important outstanding problem is finding and interpreting solutions to the Hamiltonian constraint. In this work…

gr-qc2023★ 2 cited

A Fock space structure for the diffeomorphism invariant Hilbert space of loop quantum gravity and its applications

Hanno Sahlmann, Waleed Sherif

Loop quantum gravity (LQG) is a quantization program for gravity based on the principles of QFT and general covariance of general relativity. Quantum states of LQG describe gravita…