# Another Counter-Example to Dirac's Conjecture

## TL;DR

This paper presents a new counter-example to Dirac's Conjecture involving a modified model with second class constraints, analyzing the conditions under which the conjecture holds or fails.

## Contribution

It introduces a novel counter-example to Dirac's Conjecture that incorporates second class constraints and explores the behavior of the arbitrary function in the solution.

## Key findings

- Counter-example includes second class constraints
- The arbitrary function satisfies a non-linear differential equation
- Dirac's conjecture is examined for specific solutions

## Abstract

Another counter-example to Dirac's Conjecture is presented, which resembles the Cawley model but is so modified as to include second class constraints. The arbitrary function in the general solution to the defining equations of momenta satisfies a non-linear differential equation. Dirac's conjecture is examined for some solutions to the equation.