The dream, or myth, of theoretical physics is
Unified Field Theory , a quantum-relativistic theory that unifies the four forces of gravity, electromagnetic and nuclear weak/strong and provides all the entities of the
standard model.
A theory of this scale would bring back the level 0 to the 800'successes of classical physics, when it seemed that everything in the physical universe were known or knowable, and possibly formally describable.
Many problems do believe that a unification of this kind is almost impossible:
- the fact that gravity seems essentially non-quantistic and therefore not integrable with other quantum field equations. The research of the quantum of gravity, the graviton, is currently only a hypothesis.
- the fact that there are at least two models of particles, the standard one and the cosmological, not compatible each other.
- the fact that the most advanced theories of integration such as string theory, superstrings and M-theory, though with significant theoretical results seem more some sophisticated mathematical artifices, whose conclusions are not provable by experiment.
- at a more fundamental level the Gödel's incompleteness theorems, show that the validity of a formal theory is not deductible from the theory itself but only from a wider theory, or meta-theory.
The dream of some authors about the Unified Theory is to find the "signature of God", a particular formal sign indicating the basic structure of our Universe.