Deep learning bridges diffusion and wave physics through latent geometry
Researchers propose Cross-Physics Mapping, an operator-learning framework that enables neural networks to translate between physical systems governed by fundamentally different equations, such as diffusion and wave phenomena. The work establishes sufficient conditions for such mappings through shared latent representations and introduces a dimensionless scaling principle that aligns evolution timescales without requiring dynamical equivalence. This advances the frontier of physics-informed machine learning by demonstrating that deep learning can bridge heterogeneous physical domains, potentially accelerating multiphysics simulation and reducing computational costs across engineering and scientific domains.62








