Holography and Optimal Transport: Emergent Wasserstein Spacetime in Harmonic Oscillator, SYK and Krylov Complexity
This paper proposes that holographic spacetime emerges as a Wasserstein space through optimal transport of quantum state distributions, demonstrating that the 1-Wasserstein distance between Husimi Q-representations serves as a generalized Krylov complexity to reproduce black hole geometries in harmonic oscillators and SYK models under the manifold hypothesis.