# Classical stability of higher-derivative q-theory in the four-form-field-strength realization

## TL;DR

This paper demonstrates that higher-derivative q-theory with four-form field strength is classically stable and free from Ostrogradsky instability, addressing concerns about potential instabilities in such theories.

## Contribution

It proves the classical stability of higher-derivative q-theory in the four-form-field-strength realization, a significant step in understanding its theoretical consistency.

## Key findings

- No Ostrogradsky instability at the classical level
- Higher-derivative q-theory is classically stable
- Supports viability of higher-derivative modifications in q-theory

## Abstract

We show that higher-derivative $q$-theory in the four-form-field-strength realization does not suffer from the Ostrogradsky instability at the classical level.