How Do I Develop New Mathematical Tools to Solve This Homework Problem?

[mjordan2nd]

Homework Statement

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Homework Equations

The solutions manual said, "It's trivial. Develop new mathematical tools and construct the theory." I don't really get it :*([/B]

The Attempt at a Solution

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[SteamKing]

Sounds like the author of the solutions manual has a perverted sense of humor.

 

[Pierce610]

Yes, I agree with SteamKing.
However I am thinking that if the problem is "true" the question induces to think that the two theories aren't still joined.
Why? Perhaps they are based upon two different mathematical methods and so they aren't conciliable?
What can couple them ? May be the same mathematical language?
Try to check before to give an aswer if you can have informations about gravity and quantum theory and their mathematics.