Prove first that Proof Exist !

In Mathematics, at deeper level, what is also quite important before proving something is to first check the inherent assumption that everything is provable--

Hence try to prove first why a certain problem is provable in the system rather than just starting to prove the problem...

Godel had shattered the the utopian dream of proving everything in mathematics.... ! 

Ramanujan to Riemann to Financial Markets

Ramanujan to Riemann to Financial Markets ! The Hidden Peculiar Deep Connections !

 

By Pankaj Mani

9th Jan 2024

The Celebrated famous Identity by Indian Legend Ramanujan Summation in Mathematics having wide deep applications across the fields. This is one of the most important mysteries of science.

Sum of all the Natural Numbers upto infinity

1+2+3+4+........♾️(Infinity)= -1/12

The above peculiar identity is deeply linked with the Celebrated Riemann Zeta Function(named after legend German mathematician Bernhard Riemann and the correspondingly, the most important unsolved problem in pure mathematics Riemann Hypothesis for around one and half centuries. This Ramanujan Summation has crucial applications in Quantum Field Theory etc.. Physics as well. Riemann Zeta Function is also interestingly involved in Option Pricing

And more importantly here, this Riemann Zeta Function linked to the Ramanujan’s famous identity is also deeply linked to the Brownian Motion, the Foundational Infrastructure of Mathematical (Quant) Finance !

Such is the intriguing depth and beauty of Financial Markets-Number connection involving trillions of dollars of quant investments globally ! It also leads to the introspection how Mathematics and Human Sense of the world we live in, are also deeply linked ! One needs to explore how? !

References:

1)https://www.nytimes.com/2014/02/04/science/in-the-end-it-all-adds-up-to.html

2)https://onlinelibrary.wiley.com/doi/10.1111/1467-9965.00035

Pricing of Options : Broadie, Glasserman and Kou 1997)

3)https://link.springer.com/chapter/10.1007/978-3-0348-8954-4_2

Lord Ram - Science Connection

The idea of Lord Ram(irrespective of questiong the existence),any other forms of God and their holy greatness attached expands positive energies all around as in ESG, it exemplifies cordidal relationship, sacrifice, etc.  for all. It's quite scientific that such spiritual energy produces quantum forces in mind  that prevents people psychologically from doing wrong, maintain good ,benevolent relationship with each other in family or otherwise, that creates a conducting enviornment for the development of the nation which is like fractal geometry made of individuals.

But yes, such powerful positive energy has to be supportive to work not become superstitious beyond a point that's the caution one has to take ! 

Ramanujan to Riemann to Finance !

Ramanujan to Riemann to Financial Markets ! The Hidden Peculiar Deep Connections !

The Celebrated famous Identity Ramanujan Summation in Mathematics having wide deep applications across the fields.

Sum of all the Natural Numbers....

1+2+3+4+........♾️(Infinity)= -1/12 

The above peculiar identity is deeply linked with the Celebrated Riemann Zeta Function and the correspondingly, the most important unsolved problem in pure mathematics Riemann Hypothesis for around one and half centuries. This Ramanujan Summation has crucial applications in Quantum Field Theory etc..Physics as well.

And more importantly here, this Riemann Zeta Function linked to the Ramanujan's famous identity is also deeply linked to the Brownian Motion, the Foundational Infrastructure of Mathematical (Quant) Finance ! 

Such is the intriguing depth of Financial Markets- Number connection involving trillions of dollars of investments globally !!

Duality : Knowability and Unknowability

Knowability and Unknowability are like fundamental duality in Nature like Wave-Particle duality ! Both are essential for the system to function ! 

Biased Theories in Mind

One needs to be conscious of many biased Theories one's own mind generate ! 

Finance & Maths : Self-Referential Problem

Finance is a complex system where the one who tries to figure out is the part of the system itself ! 

Self-Referential problem !

And Self -Referential Problem is the key issue for mathematics to remain consistent ! 

That's the fundamental reason why no mathematical model could ever possibly completely explain finance !