The short answer here is the serial ID is computed via a hash if you don't specify it. (Static members are not inherited--they are static, there's only (1) and it belongs to the class).
http://docs.oracle.com/javase/6/docs/platform/serialization/spec/class.html
The getSerialVersionUID method returns the serialVersionUID of this class. Refer to Section 4.6, "Stream Unique Identifiers." If not specified by the class, the value returned is a hash computed from the class's name, interfaces, methods, and fields using the Secure Hash Algorithm (SHA) as defined by the National Institute of Standards.
If you alter a class or its hierarchy your hash will be different. This is a good thing. Your objects are different now that they have different members. As such, if you read it back in from its serialized form it is in fact a different object--thus the exception.
The long answer is the serialization is extremely useful, but probably shouldn't be used for persistence unless there's no other way to do it. Its a dangerous path specifically because of what you're experiencing. You should consider a database, XML, a file format and probably a JPA or other persistence structure for a pure Java project.