Self-consistent hyperfluid

TL;DR

This paper develops a self-consistent hyperfluid model as a classical field, where hypermomentum emerges dynamically from diffeomorphism covariance, enabling various fundamental interactions within a unified framework.

Contribution

It introduces a hyperfluid model based on an action principle without external constraints, allowing hypermomentum to arise naturally from the field's symmetries and interactions.

Findings

Hyperfluid is formulated as a self-consistent classical field.

Hypermomentum is derived from diffeomorphism covariance, not assumed.

Interactions with gauge fields and gravity are successfully incorporated.

Abstract

Hyperfluid model is reconstructed on the basis of its action free from any external constraints, regarding the hyperfluid as a self-consistent classical field. Intrinsic hypermomentum is no more a given variable, but arises purely from the diffeomorphism covariance of the dynamical field, which allows the hypermomentum to be exchanged via fundamental interactions of various classes; fluid-fluid interactions, SU(n)-gauge coupling with non-minimal interaction, and coupling with the metric-affine gravity are all successfully formulated in the classical regime.