Holographic spacetime emerges as the 1-Wasserstein space of quantum state distributions under optimal transport, matching AdS2 black hole geometry in the SYK model and identified with generalized Krylov complexity.
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Numerical simulations show dynamical black hole formation in non-Markovian open JT gravity, corresponding to irreversible thermalization on the boundary.
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Holography and Optimal Transport: Emergent Wasserstein Spacetime in Harmonic Oscillator, SYK and Krylov Complexity
Holographic spacetime emerges as the 1-Wasserstein space of quantum state distributions under optimal transport, matching AdS2 black hole geometry in the SYK model and identified with generalized Krylov complexity.
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Black-hole formation and thermalization in open JT gravity
Numerical simulations show dynamical black hole formation in non-Markovian open JT gravity, corresponding to irreversible thermalization on the boundary.