There are classes that are entities according to DDD, and there are classes that have @javax.persistence.Entity
annotation. Should they be the same classes? Or
Your JPA entities should be the domain entities. Why? Your domain entities should express some strong constraints, e.g. by
If possible, a domain entity should always remain a valid business entity. By introducing some kind of mapper, you introduce a possibility to automagically write arbitrary stuff into your domain entities, which basically renders your constraints useless.
The other option would be enforcing the same constraints on JPA and domain entities which introduces redundancy.
Your best bet is keeping your JPA entities as ORM-agnostic as possible. Using Hibernate, this can be done using a configurating class or XML file. But I am no Java EE/JPA guy, so it's hard for me to give a good implementation advice.
That's an implementation detail really. They could be or they could not depending on the flexibility of your ORM. For instance, if your ORM allows to map your domain objects without polluting them with persistence concerns then that's the approach that requires the less overhead and which I'd go for.
On the other hand, if your ORM is not flexible enough then you could go for a pragmatic hybrid approach where your AR and it's state are two different classes and where the state class is simple enough to easily be mapped. Note that the AR would still be responsible to protect it's state here and the state object wouldn't be accessed directly from outside the AR. The approach is described by Vaughn Vernon here.
After some more experience with JPA and microservices, I would say that I would most likely not separate them when using JPA, unless there's a reason that makes me do otherwise. On the other hand, entities in a single bounded context do not necessarily have to be only JPA entities. It's possible to have both entities mapped by JPA implementation and entities mapped from DTOs using other technologies (like JSON mappers) or manually.