Question

The whole question is in the title. For example:

enum enumTest {

        TYPE1(4.5, "string1"), TYPE2(2.79, "string2");
        double num;
        String st;

        enumTest(double num, String st) {
            this.num = num;
            this.st = st;
        }
    }

The constructor is fine with the default or private modifier, but gives me a compiler error if given the public or protected modifiers.

Answer 1

Think of Enums as a class with a finite number of instances. There can never be any different instances beside the ones you initially declare.

Thus, you cannot have a public or protected constructor, because that would allow more instances to be created.

Note: this is probably not the official reason. But it makes the most sense for me to think of enums this way.