Overriding a public final static frozen set in Java/Gosu?

I have a set declared static final and is additionally frozen.

class MyParent {
    public final static var MY_FIELDS : Set<MyParent> = {
        FIELD1, FIELD2, FIELD3, FIELD4, FIELD5
    }.freeze()
}

Now, because the MyParent.MY_FIELD is called from multiple locations to do some magic stuff, I wish to take over the advantage of this and simply override the collection itself.

class MyChild extends MyParent {
    public override static var MY_FIELDS : Set<MyChild> = {
        FIELD1, FIELD3, FIELD5, FIELD8, FIELD9, FIELD10
    }.freeze()
}

I also tried using the new keyword as it's done in .NET.

class MyChild extends MyParent {
    public new static var MY_FIELDS : Set<MyChild> = {
        FIELD1, FIELD3, FIELD5, FIELD8, FIELD9, FIELD10
    }.freeze()
}

However, no workaround worked so far. Then, I read that it's feasible through reflection.

• Java Hacks - Changing Final Fields

And then, I can't access to the getClass() method or class member of my type, neither MyParent's.

Is there any workaround that would allow me to achieve this, and how?

Using Gosu 8.0 in a Guidewire project.