Thursday, June 28, 2018

(-1)*(-1)= ?? . Is The Mathematical System still Obsolete?? Underlying Symmetry & Asymmetry :: A New Number System in Sync with the improved Physical world understanding :: Riemann Hypothesis using Game of Operators.


Fundamental Asymmetry in the The mathematical System (-1)*(-1)= ?? :: Riemann Hypothesis using Game of Positive and Negative 

Riemann Hypothesis, one of the greatest mysteries of mathematics still remains unsolved for more than 150 years. The mathematical riddle involving prime numbers  lying at the foundation of  cryptography ,internet securities e.g. banking,e-shopping etc.  As the Fields Medalist Enrico Bombieri said :It's the holy grail of mathematics. Another Fields Medalist Alain Connes said  : It's something so basic that governs the functioning of  arithmetical operators e.g. +,- etc. In 2011, I had devised a short proof  of RH using Game Theory where mathematical operators are infact playing the game of symbols as reflected in the statement of David Hilbert(Ref. https://plato.stanford.edu/entries/hilbert-program/)
My attempt to prove has been published for comment and is under consideration of the field experts.

So, here I would like to throw some ideas where the contemporary mathematicians and physicists need to rethink about how the structure of mathematics has been defined.  I had discussion with  professor  Dr. Espen Haug from Norway, the world-renowned former Stock Market Trader,Physicist and Mathematician. You can often find  his  articles in Forbes Magazine. . I am again planned to visit him shortly   in London/Oslo to have  discussion about it. May be some new breakthroughs in the offing!! 
A new Number System in sync with the latest understanding of the Physical world!!

Coming back to the main discussion, my first question is How have we defined the functioning of Mathematical,better say Arithmetical Operators? There remain many subtle questions lying at the foundation,that need to be readdressed. 

""The Questions :
 Why Negative Real number multiplied by Negative Real number becomes Positive  ??"" 

Why Positive Real number multiplied by  Positive Real Number still remains Positive;Why not Negative ??

Why Negative Real number multiplied by Positive Real number becomes Negative  Not Positive ??

There is a lack of hidden symmetry in the underlying structure of the basic mathematical rule that has been prevalent since long.  The reason could be the obsolete understanding of the ancient mathematicians of Physical world. Would the idea of perfect symmetry of the above rules not be better in sync with the latest  physical world understanding ? This will also lead to the abolition of  imaginary number arising out of the square root of Negative numbers.
Atomism in the Physics implies when everything comes in the form of  quanta which is indivisible. Is the existence of fraction in sync with the real physical reality ?

The Number System is relative. The Number system has been defined relatively w.r.t a base say 0 i.e. reference frame.
How deeply is  understood the existence of 0 in the context of symmetey ? There is hidden symmetry behind the existence of 0. 
Riemann Hypothesis looks at this hidden symmetry of Negative and Positive Numbers and their structural rules.

Let me ask what symmetry is assumed when defined  2^0 =1/2 ?? 

So, in my  attempt to attack Riemann Hypothesis, I have tried to look into this symmetry and asymmetry . I and Espen Haug have discussed the approach.Hypothesis is so rude that  it has resisted the cumulative effort of great mathematical minds for more than a century. It may be because the fundamental rules of mathematics could not be peeped into i.e. How have the Mathematical Rules been defined ?

I have used the Game Theoretic Approach to locate the Nash Equilibrium and figure out the location of 0s of the Analytical Functional Equation of Riemann Zeta Function And hence tried to prove that Riemann Hypothesis is True !! Thanks to the only both Nobel and Abel Laureate John Nash. I had the privilege of having conversation with him.