Emergence of five-dimensional Lorentzian spacetime: dimensional isolation and Wick-like rotation under the information-curvature scaling principle

In this paper we take the six-dimensional Riemannian information manifold as the substrate, and treat information as the only source of curvature,to investigate the emergence mechanism of the five-dimensional Lorentzian spacetime under general covariance constraints. The differential geometry is utilized to derive the field equations for embedded submanifolds. The information dichotomy generates a dimensional wall within the five-dimensional slices, isolating information between the parent manifold and the slices. Information condensation and configurational mapping inside the slices drive the stitching of topological defects, giving rise to globally coherent singular lines. These singular lines compress the five-dimensional manifold and dissect it into four-dimensional slices with boundary layers. A Wick-like rotation then triggers the emergence of time on the four-dimensional slices and generates parallel five-dimensional Lorentzian spacetimes, completing the mapping from Riemannian metrics to Lorentzian metrics. The velocity scaling constant defined by the Wick-like rotation corresponds to the propagation speed of structural information perturbations on the four-dimensional spacelike slices. Time is interpreted as the oriented continuous configurational mapping driven by topological pivot defects, offering a new perspective for higher-dimensional gravity and multi-spacetime evolution.This is a preprint submitted to Classical and Quantum Gravity.