# Non-Lagrangian Gauge Field Models are Physically Excluded

## TL;DR

This paper argues that non-Lagrangian gauge field models are physically invalid because they lack stress-tensors and cannot couple to gravity, making them unsuitable for physical theories.

## Contribution

It demonstrates that non-Lagrangian gauge fields cannot produce stress-tensors or couple to gravity, thus excluding them from physically consistent models.

## Key findings

- Non-Lagrangian gauge fields lack stress-tensors.
- They cannot generate Poincare symmetries.
- They are incompatible with gravitational coupling.

## Abstract

While non-action generated, but identically conserved,-abelian and non-gauge vectors exist, they are unsuitable for building alternate field equations because they have no stress-tensor, hence do not permit Poincare generators and, most phiyically, cannot couple consistently to gravity. Separately, their geometric analogues -covariantly conserved non-Lagrangian symmetric tensors-probably do not exist, but their weak field, abelian counterparts do, and share the vector fields' absence of generators.