Dhabus Complex and Datars iParadox

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Title of paper:

Datar iParadox extended on pioneering work about Dhabu Complex Theory  :  the reality about ‘i’, the mathematical paradox

Authors: Chinmay Datar 1 and Sumedh Dhabu 2

Special thanks: Anant Devi 3

Abstact:

This paper presents an interesting and shocking mathematical paradox about ‘i’. For this we need to consider the life of engineer. The two most important parts in the life of engineer are considered here: studies and girlfriend. Then based on Dhabu Complex theory, authors provide intuitive and practical proofs for this paradox.

Index terms:

Datar iParadox,  Dhabu Complex theory, Buzz (!!), engineer’s life

Intro:

This theory has been largely developed thanks to a timely and fruitful vadheev commenting on a Sumedh Dhabu Buzz. It is essentially based on the Dhabu Complex Theory, and includes extensions known as the Datar iParadox. Anant Devis axioms provide an insightful perspective regarding Dhabus Theory. I would like to thank both of them for playing a significant part to inspire me to conduct another vadheev formulation.


Let us begin with a basic understanding of Dhabus Complex Theory. Sumedh Dhabu, a great mind recently came to conclusion after a string of mind boggling facts about dreams and realities. Dhabu goes on to imply the complex theorem to life, by stating, 
"Life is Complex-One needs to consider the real and imaginary parts separately" 
Dhabu has come up with this theorem through sheer perseverance and dedication in the past 4 years. He conducted experiments on himself and his friends to establish this golden rule, prompting me to think further and expand it. Here, I have collaborated with the great man himself and using some theoretical results obtained by Anant Devi, come up with the Datar iParadox An explanation for the same is given below. Mathematical understanding along with a sense of humour is a must for this, and those ill suited or dumb enough not to understand complex numbers and other associated topics need not read further.


Mathematical analysis of Dhabus Theory leads to a quite interesting paradox, known as Datar iParadox. We have tried to analyse and help laymen understand this paradox. here goes:


Consider an ideal life for a student (MALE) entering Engineering. Since he is entering engineering, he has a dream, but then there is also a reality, which are unfortunately, conjugates of each other. 

In India, it is everyones dream to one day land up in  IT engineering and end up getting bucketloads of marks. Thus, their dreams along with their current dreams which is studies well and a girlfriend(who is ofcourse, imaginary) can be given by the Eulerian identity,

Dreams = e^iT

which will give

 Dreams = cosT + i(sinT)

However, reality is different, and most people do not get into IT engineering. Thus, on Similar grounds, reality, which is studies, minuis the imaginary girlfriend can be given by:

Reality = e^-iT

which will give, 

Reality = cosT - i(SinT)

Assumption:
during engineering, for a good engineer, 
cosT = studies and it is a  sin(T) to have a girlfriend.

so substituting these values, we get,

Dreams=Studies + iGF

Reality=Studies -iGF

(GF= girlfriend.)

Now on a complex plane, both dreams and realities will have modulus and arguments.

Now since the modulus of both are the same, but the arguments are out of phase by 90 degrees, it leads to what Anant Devi has described as having internal "arguments". An engineering student has his dreams and relaities out of phase by a 90 degree argument.

These arguments cause a great confusion, called Life, which crosses dreams and realities. Crossing of dreams and realities,i.e Dreams "x" reality will give a product of the two terms.

Thus, life = Dreams x Reality.

Life= (Studies + iGF)(Studies-iGF)

thus, Life = Studies squared + GF squared.

L = St²+GF²

Over time as one runs through his engineering degree, and completes college, Studies tend to Zero.

So, L = GF²

^{Now, in every engineers life, there comes a point when he applies Chinmays K-means algorithm to come to a conclusion that he has found a perfect girl, or atleast has a blind belief that he has a girlfriend. Considering the life of all engineers and taking average, we can conclude that the value for GF overtime tends to 1.}

Thus L=1.


The paradox comes into picture when the Girlfriend leaves you.
Life turns head over heels, i.e, it changes direction.
considering life to be a vector, by change of direction, Life will now be given as
L= -1.
A life turned heads over heels is called a Problem.
Thus, P=-1.
to solve problems, we try to find the roots of the problems,
now sqrt(P) = sqrt(-1) ="i"
So "i" is the root of the problem.

However, it is rather surprising result. Mathematically,  we have proven that "i" here is imaginary. however, the "i" exists physically, and is the root of all problems.

A major mathematical paradox is thereby generated, stating, is the imaginary "i" really real?
The above postulate is termed as the Datar iParadox and as discussed earlier, derived solely from Dhabus Complex Theorem with help of Devi Arguments.

We can thus conclude that using mathematics we have generated a paradox questioning the nature of "i".
Since the authors are from Pune, they would like to add that any remarks regarding the authenticity and correctness of the theory shall be considered imaginary, and removed immediately from the complex plane.  

Note: CD SD and AD are founders and life fellows of Institution of Vadheev Electronic Engineers. (Authors promise to write a separate document about IVEE and it will be posted in some upcoming blog by CD).