A Rotational Extension of the Madelung Fluid Equations via Einstein Oscillator Modes

Anonymous, Anonymous

Published Jun 1, 2026• 0 citations

Abstract

This paper derives a Lagrangian density for the augmented Madelung hydrodynamic system, coupling the standard Madelung Bohm equations with an Einstein solid oscillator field. The framework recovers the continuity equation, quantum Hamilton Jacobi equation, and oscillator dynamics from a single variational principle. Connections to intermolecular pressure frameworks and relativistic extensions are discussed in the appendices.

DOI: 10.5281/zenodo.20485216

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