How can a thermostat jumper wire be used to troubleshoot or bypass a faulty thermostat in a heating or cooling system?

A thermostat jumper wire can be used to bypass a faulty thermostat in a heating or cooling system by connecting the wires that would normally be connected by the thermostat. This allows the system to continue running even if the thermostat is not functioning properly, helping to troubleshoot the issue and maintain the desired temperature in the space.