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physics.flu-dyn2025
Quaternion wavefunction theory bridges quantum formalism and classical fluid dynamics: a zero-parameter derivation of sphere drag
Farrukh A. Chishtie
We present a quaternion wavefunction formulation that reduces the incompressible Euler equations to a single nonlinear Schrödinger-type equation with a holomorphic constraint, reve…
physics.flu-dyn2025
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications
Farrukh A. Chishtie
We present a novel, unified quaternion-complex framework for formulating the incompressible Navier-Stokes equations that reveals the geometric structure underlying viscous fluid mo…