Below is an example of what I'm trying to do. The parent can't access any of the child's variables. It doesn't matter what technique I use (static or constants), I just need some kind of functionality like this.

class ParentClass
{
    public static function staticFunc()
    {
        //both of these will throw a (static|const) not defined error
        echo self::$myStatic;
        echo self::MY_CONSTANT;
    }
}

class ChildClass extends ParentClass
{
    const MY_CONSTANT = 1;
    public static $myStatic = 2;
}

ChildClass::staticFunc();