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Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity

Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity

A bstract Holographic entanglement entropy was recently recast in terms of Riemannian flows or ‘bit threads’. We consider the Lorentzian analog to reformulate the ‘complexity=volume’ conjecture using Lorentzian flows — timelike vector fields whose minimum flux through a boundary subregion is equal to the volume of the homologous maximal bulk …