What is yet to be discovered in maths ?

Answer 1

M-theory, the theory formerly known as Strings

The Standard Model

To take into account the different interactions observed in Nature one has to provide particles with more degrees of freedom than only their position and velocity, such as mass, electric charge, color (which is the "charge" associated with the strong interaction) or spin.

The standard model was designed within a framework known as Quantum Field Theory (QFT), which gives us the tools to build theories consistent both with quantum mechanics and the special theory of relativity. But unfortunately the fourth interaction, gravity, beautifully described by Einstein's General Relativity (GR), does not seem to fit into this scheme.

String Theory

In String Theory, the myriad of particle types is replaced by a single fundamental building block, a `string'. These strings can be closed, like loops, or open, like a hair. As the string moves through time it traces out a tube or a sheet, according to whether it is closed or open. Furthermore, the string is free to vibrate, and different vibrational modes of the string represent the different particle types, since different modes are seen as different masses or spins. Moreover String Theory also possesses the necessary degrees of freedom to describe the other interactions! At this point a great hope was created that String Theory would be able to unify all the known forces and particles together into a single `Theory of Everything'.

http://www.damtp.cam.ac.uk/user/gr/public/qg_ss.html

Answer 2

I can honestly tell you that we have not even begun to scratch the surface of mathematics. In my opinion, all the mathematical and scientific progress is still very backward. We talk about space as the final frontier but truth is we would not even survive a trip beyond the borders of our solar system.

Mathematics today has been hijacked by stupid academics just as the church hijacked the first universities.

Answer 3

Start with discovering whether the Riemann Hypothesis is true or not. If you can do that maybe you can answer P=NP? problem too... If those are too diffcult I can give you a few easier questions that I would very much like to learn about. Like does the theory of algebraically closed valued fields admit elimination of quantifiers in the language of Tate algebras?

Answer 4

Here is a complete "List of Unsolved Problems in Mathematics"

http://en.wikipedia.org/wiki/List_of_unsolved_mathematical_problems

Also includes math problems solved in recent decades.

Answer 5

Check this out:
http://www.npr.org/templates/story/story.php?storyId=906866

Answer 6

Origin of Golden Ratio!!

Answer 7

dont you think that if we knew what hasnt been discovered in math, it would be concidered, "discovered"? what we got is all we got. go read a book...

Answer 8

maths leaves anything to the power of zero...or...zero multiplied by another zero UNDEFINED...

Answer 9

What 4 dimensions looks like. we already know that pi ends. we have an EQUATION for pi that is never ending.

Answer 10

http://www.claymath.org/millennium/

and anything else that you will meet when studying math