Amazon Aurora blue/green deployments and PlanetScale branching are two different approaches to deploying and managing database environments. Blue/green deployments involve creating a copy of the existing database environment, making changes to the new environment, and then switchovering traffic to it. In contrast, PlanetScale branching creates isolated MySQL clusters for each branch, allowing developers to test new features without affecting production. Both approaches have their own strengths and weaknesses, including differences in schema change management, instance type adjustments, version upgrades, cost considerations, and potential data inconsistency issues. While blue/green deployments can provide a seamless switchover experience with minimal downtime, PlanetScale's branching approach offers greater flexibility and control over the deployment process, including the ability to roll out changes without disrupting production.