**3.1 Do we have a single mathematical theory that can describe the
entire physical nature?**

The answer is no. Many different theories, which are different
sets of mathematical axioms, have evolved in the past several centuries. But
these theories are not consistent among themselves. For example, quantum
mechanics is not consistent with the theory of gravitation - there exists no
mathematical framework for quantum gravity [5]. There are situations like the
early universe (during a period extending up to 10"43 s after the
Big-bang) where use of both quantum mechanics and general theory of relativity
is indispensable. But the mathematical description is not possible because of
the lack of working theory of quantum gravity.Attempts have been made to have a
"theory of everything". Some of the most popular attempts for a
theory of everything are the Loop quantum gravity, String theory and M-theory
[6-8]. However, Stephen Hawking says "Up to now, most people have
implicitly assumed that there is an ultimate theory, that we will eventually
discover. Indeed, I myself have suggested we might find it quite soon. However,
M-theory has made me wonder if this is true. May be it is not possible to
formulate the theory of the universe in a finite number of statements. ... we
and our models, are both part of the universe we are describing. Thus a
physical theory is self referencing like in Godel's theorem. One might,
therefore, expect it to be either inconsistent, or incomplete. The theories we
have so far, are both inconsistent, and incomplete.... Some people will be very
disappointed if there is not an ultimate theory, that can be formulated as a
finite number of principles. I used to belong to that camp, but I have changed
my mind. I'm now glad that our search for understanding will never come to an
end, and that we will always have the challenge of new discovery. Without it,
we would stagnate. Godel's theorem ensured there would always be a job for
mathematicians. I think M-theory will do the same for physicists. I'm sure
Dirac would have approved " [9]