Saturday, February 6, 2010

Complex Numbers & Dreams - 2

Hello everybody,

Finally, entered the weekend. Last 2 days I had been busy solving some non-linear ODE stuff, which was really tiring. Ofcourse, I am still learning how to solve them, apart from checking the stability of the solution obtained. It was a wonderful experience. I had plotted some graphs depicting the behaviour of solutions on slight perturbation. They were awesome. Also, the solution turned out to be right, so I felt very happy.

Coming back to our discussion on vanishing imaginary numbers, I understood a fact after solving the problem. Any mathematical system which is real, no matter what happens in the intermediate steps, bears real solutions. The imaginary numbers encountered are just an illusion, however, would lead us to real solution if we continue our work. Some times, they do leave their impression on the resulting solution. Like for example, whenever a system has solutions in the form Sine and Cosine summation series, there is a high probbality that the system is complex ( similarly, if the system is of polynomial, chances are high for repeated roots ).

I somehow felt this process analogous to the dreams, which we experience. They are imaginary, but often do we cacth glimpses of images, which would repeat in our real life, and that phenomena is better known as Deja Vu, the feeling in ourselves which tells us that we have encountered that situation before ( just as some of the imaginary roots leave their impression on solution ), some of our dreams leave an impression of what's going to happen. What does this mean??  

Is our destiny pre-defined?? Just as we retrieve, images stored in a folder; can we retrieve some information from future, and take a look at it?? (or) Is it that we program our future and these images generated by our subconscious mind, are just snapshots of what situation we have dragged ourselves in?? 

What information do these dreams generate?? What is its source?? What does it suggest to us?? Is this what we call Sixth-Sense?? Can we control the source to generate the dreams we like?? Or are we just like the variables executed in a computer program??

Is Destiny already created?? (or) Is it what we create for ourselves?? Can the future be predicted?? How far does astrology succeed in predicting whats going to happen?? Are we controlling this world?? (or) Are we under any control?? Are the situations in our life programmed in a particular fashion?? (or) Are they random?? Whats happening around us??

** Is Destiny different from God?? (or) Is it that they are same and would be called with different names by people with different perspectives?? Who is God?? 

All the questions are just canonical forms of one question which cannot be put in words, as its abstract, however trying to fit that sense in words, it would lead us to the question which has been bothering me a lot since many years.:

"Is this Universe Probablistic or Deterministic ??"

OOOOOOOOOOOOOPSSS!!

Where did we start and where are we now?? Is it so complex as the problems in Complex Numbers?? Is this stuff related to mathematics at all??  Question to be discussed in the coming days.
 
Wow!! thats a lot for today. I owe you a lot for patiently sharing my thoughts. I believe that it would be wonderful if you work on the following activity, which is highly recommended by me in your IB Time ( You would find the definition of IB Time here in this post).

Activity 2:

Open your note pad, and based on all your experiences so far, write what do you feel as the purpose of life, and what have you done so far to achieve that purpose.

This activity would tickle your neurons in brain to generate some thoughts which provide you a wonderful experience. Donot forget to share those experiences with me. In the mean time, I would be giving some thought on those questions.

I would leave at this point. Enjoy your weekend.

Let peace prevail in this world.

--

Sun



Disclaimer:

** I am no theist/atheist//non-theist. I am just a traveller in my mind, wandering around in my thoughts, trying to find out the relation between the concepts of Destiny and God, which take me a step further in finding out the truth. The truth which might reveal the purpose of this life, which I am interested in. So, join me in this journey. Journey for the search of truth, which I call Life.

4 comments:

  1. I didn't read the whole post yet.. I will.. But the question caught my attention and I'm tempted to post a comment. I guess that was a question our very own Vinayaka Rao garu asked us.
    Seeing that and few old posts, I guess you are trying to put the thoughts he instilled in our minds, while teaching mathematics comparing it with life, into words. I stand corrected!! :-)

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  2. Yea...what you said was true...His classes had a major impact on the way I think now....It was the same question...and even now it is ringing in my ears, lingering in my mind...The intensity and the passion with which he spoke those words changed my thought process..I owe a lot to him...:)

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  3. there is a theory about dreams(if it has "you" in them)..they are glimpses of parallel reality in which you do something.. :P ..Cant check the authenticity though ;)

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  4. thnx for the info adarsh...shall check about that...

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