Structured nonlinear cascades bridging macroscopic fluid scales and molecular vibrations

I propose and theoretically analyze a novel approach to selectively excite molecular vibrational modes through structured fluid dynamics guided by generalized symmetry-based transformations of the Navier–Stokes equations. By encoding specific molecular resonance information into structured macroscopic fluid perturbations and using iterative nonlinear cascades, I demonstrate numerically that energy can coherently transfer from macroscopic scales down to molecular vibrational frequencies. This structured cascade, described by a generalized Gelfand transform and associated nonlinear structure constants, ensures resonance conditions at molecular scales, significantly delaying thermalization and enabling precise quantum state manipulation in fluids. Numerical simulations explicitly targeting the asymmetric vibrational mode of CO2 validate this methodology, highlighting its potential applications in controlled molecular excitation and coherent fluid-based quantum manipulation. The novelty of this work explicitly lies in introducing generalized symmetry-adapted nonlinear cascades, carefully designed to achieve coherent and selective molecular-scale energy excitation from structured macroscopic fluid perturbations, a significant departure from traditional turbulent cascades.