A Fluid Generalization of Membranes

TL;DR

This paper explores a fluid-based generalization of membranes, extending classical formulations and investigating potential quantum relationships, aiming to deepen understanding of extended objects in physics.

Contribution

It introduces a fluid generalization of membranes and discusses the classical and quantum implications of this new framework.

Findings

Classical fluid models of membranes are developed.

Potential quantum relationships between fluids and membranes are proposed.

The generalized Lagrangian formulation broadens the theoretical landscape of extended objects.

Abstract

In a certain sense a perfect fluid is a generalization of a point particle. This leads to the question as to what is the corresponding generalization for extended objects. The lagrangian formulation of a perfect fluid is much generalized and this has as a particular example a fluid which is a classical generalization of a membrane, however there is as yet no indication of any relationship between their quantum theories.