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Group Field theory and Tensor Networks: towards a Ryu-Takayanagi formula in full quantum gravity

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abstract

We establish a dictionary between group field theory (thus, spin networks and random tensors) states and generalized random tensor networks. Then, we use this dictionary to compute the R\'{e}nyi entropy of such states and recover the Ryu-Takayanagi formula, in two different cases corresponding to two different truncations/approximations, suggested by the established correspondence.

years

2026 1 2025 1

verdicts

UNVERDICTED 2

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Testing ER = EPR with Hydrogen

quant-ph · 2025-12-01 · unverdicted · novelty 5.0

Field leakage into ER=EPR wormholes modifies hydrogen hyperfine splitting and may induce net charge, yielding constraints from existing precision data.

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