Randomness - Part 2
In this article, we continue on from where we left....
We concluded in
part 1 by saying that since atmospheric events are truly random, RNG's which
use them would indeed produce random numbers.
Or does it???
Read on...
Let us again
start with the most simplest of the physical events - tossing of a coin.
We can only be
sure that the probability of both a head and tail is equal and is half. We can
not even tell the number of heads or tails we would get by tossing a coin 100
times(though we could say with certain confidence level say 90% that there
would be 40 to 60 heads approximately, as your confidence level increases the
range also increases. So for saying with 100% confidence, we would have to
include the complete range - 0 to 100) leave alone the exact sequence of heads
and tails.
Now let us move
further. What if i say the mass of the coin is 1 gram? Does it make any
difference to what we have talked till now?
Answer: YES it
does.
This is a very
important parameter which everyone tossing a coin never think of. Applying the
laws of physics, given the initial state(lets assume head side of the coin),
mass of the coin, can we not exert the right amount of force required so that
the coin comes back to the same initial state?
Yes we can!!! Hurrah..Simply put, if the person tossing the coin
exerted just the same amount of force each time he tossed the coin, he would
end up with the same result. Wow..We have just proved what was so random and
unpredictable till now - "tossing a coin" is NO MORE RANDOM!!
Now moving on to more complex phenomenon like rain, wind, temperature,
thunder et cetera. We just said in part 1 that though we have thousands of
terabytes of data on these naturally occuring, we are unable to predict them
100% accurately. So how does one prove that these events are NOT RANDOM?
Simple.."The Butterfly Effect".
It states that -
Small variations of the initial condition of a dynamical system may produce
large variations in the long term behavior of the system.
(http://en.wikipedia.org/wiki/Butterfly_effect - read through for detailed
understanding of "butterfly effect")
This phrase means that a butterfly's flapping of its wings might
create tiny atmospheric disturbances that may ultimately alter the path, delay,
accelerate or even prevent the occurrence of tornado in a certain place. More
specifically, flapping of the wings is the "intial condition" which
may cause a long-term effect - "the tornado". So if the butterfly had
not flapped its wings, the entire course of events might have been altered or
different.
These effects are
what the weather forecast departments are still trying to determine. They know
that pressure difference causes winds but a "butterfly's flap"
somewhere could alter their prediction.If we could identify these "tiny
effects" causing rain,wind et cetera, we would be able to predict these
phenomenons with 100% accuracy.
Hence even these natural phenomenon are dependent on some factors
- determination of which would imply they are NOT RANDOM.
Before i conclude, i would like to take this yet another step
further. It is the formation of a GOD-equation(on lines of GOD-particle) which
will eliminate randomness.
F = Σ(Fp) where p
= 1,2,3…n
Each Fp = f(ci)
where i = 1,2,3…m
C1,C2,C3…..Cm
denotes various conditions on which Fp is dependent on.
F1,F2,F3……Fn
denotes all possible events
Events include
activities ranging from talking, swimming, smoking, praying, studying, playing
et cetera to phenomena like drought, flooding, earth-quakes, rain, economic
reforms, government policies, war et cetera.
Basically
everything that can happen in this universe is categorized into a distinct,
non-overlapping Fn.
It is in a very
crude format/language which must be revised thoroughly. But the idea behind
presenting this equation was to understand that any outcome or value of F was
determined by a summation of events and each of these events occured due to
specific conditions on which they where dependent.
Consider this
example to help understand the "GOD-equation" better. Lifespan of a
person X.
It is governed by activities like smoking, exercising, balanced
diet etc and events like drought, flood, earth-quakes etc. Each of this event
is dependent on specific conditions. For example - smoking. It is dependent on
factors like parental control, self-control, availability of cigarettes,
government policies, price of cigarettes to include a few.
Similarly droughts, which is dependent on factors like rainfall,
green-life, terrain etc. If these factors are known, then we could say with
100% confidence that the event(smoking, drought) would happen or not. If we sum
the effect of all these events, we can determine the lifespan of a person.
One topic remains
unaddressed however.. Predictions of genuine soothsayer's, astrologers, great
indian sages and likewise. How do they predict events well in advance? How do
they provide alternate course of actions to avert disasters or problems? Simple
: They use the "GOD-equation". Or simply put they know all the
factors which affect an event and hence predict with certainty the outcomes.
Similarly, the alternate course of actions which they provide are those tiny
"butterflies" which could change the future course of actions.
Hence to conclude
i would like to say - the universe is pseudo-random and not truly random.
End Notes:
1. I didn't know
about the Chaos Theory when i had the concept of "Everthing is the
universe is only pseudo-random in my mind".
2. I read about
it when started explaining in details about the butterfly effect. To present
the exact statement of the butterfly effect, i used wikipedia. That was when i
read in brief about Chaos Theory. Till that moment i had only heard about the
term but didn't know what it meant exactly.
3. So one can
treat this as an extension to Chaos Theory(if it is not too much what i am
saying!!)
4. In case you
like to take this idea forward, please mention the source or give a reference
to this blog atleast. Plagiarism strictly prohibited.
Vartmankal
(TT - 01:52)
Nice Logic Dude
ReplyDeleteNice going... a bit too technical i thought!
ReplyDeleteBut consider this!
My theory of the universe(read my blog)took a drastic but extremely pleasing change...
When the recent solar eclipse happenend(ya i saw it and my eyes got raped 4 10 min).I noticed something which astonished me!For that span of time the dogs and cows were sitting in shadow... the birds were not flying but rested in trees... no child of mother nature was in movement during the eclipse. So if we as mortal humans were to understand the ways of the universe we have to be in harmony with mother nature which we are not... hence the inaccurate predictions! All these great sages and yogis do not lead much of a materialistic life hence a small bond with mother nature could be present!Hence their predictions have a higher probability of happening!!
I like the fishes!! :->
ReplyDelete