Tuesday, February 10, 2009

String Theory

This'll just give you a rough idea of what it's all about. Anything further would probably require high level math which I am hardly equipped to handle.

It all starts with a German Mathematician who in 1919 had another one of those infamous naked eureka moments when he theorized that the universe has not 4, but 5 dimensions. The new dimension is the 4th spatial dimension which he used to describe Electromagnetic force in the form of warping just as Einstein had described gravitation as the curving and warping of the space-time fabric. Now this theory fell away because it didn’t hold in application when trying to calculate things like the mass of an electron. But once the Superstring theory emerged, we went back to consider additional spatial dimensions. Apparently there are 10 spatial dimensions in all. I’m not even gonna dream about asking my mum to give me permission to hallucinate so as to consider trying the math involved in that.
Space is said to curled up in these extra spatial dimensions at a Planck scale. And to prove the existence of extra dimensions and the possibility of existence of strings, we vest our hopes in the LHC. If after collision the sub-atomic particles which are created get ejected, so to speak, into those extra dimensions that we can’t see it will result in “disappearance” of energy. If we have lesser energy after the collision than before it, that means something entered one of those extra spatial dimensions. Q.E.D. because of the law of conservation of energy.

The theory, to put it rather vaguely, is that the universe is fundamentally built of unidimensional vibrating energy filaments called strings. Irony is, according to Wikipedia, strings are no longer considered essential to the theory itself since they can be replaced with points or surfaces. But I’m gonna use to term string just 'cause it’s really weird and can freak people out.
Moving on, these strings vibrate in different patterns and frequencies thus forming the different particles known to us. Vibrations of Strings is affected by the intertwining geometry of the extra dimensions. If someone was to figure out what these new spatial dimensions look like then he could also calculate the vibrational patterns which means he will also be able to find the values of some numbers which essentially define the universe like the strength of electromagnetic forces (no clue how). If the values this guy finds are equal to the already experimentally calculated values then the world will fall to its knees and praise him or just say he's deranged cause the other guy already proved that the universe is in fact made of tiny orange pips.

Friday, December 26, 2008

Twin Primes

First off, a twin prime is a set of two consecutive odd numbers both of which are primes.

Most mathematicians believe that the twin prime series is an infinite one. The conjecture though, has never been proven.
I came up with a simple proof by method of contradiction.

Consider the twin prime series to be S
S = (3,5) , (11,13) , (17,19) , (29,31) ..... (N-1, N+1)
Where (N-1, N+1) is the last twin prime.

Take the product of all the primes till (N+1) to get a number, P.
P = 1 x 2 x 3 x 5 x 7 x 11 x .... x (N-1) x (N+1)

(P+1) will not be divisible by any prime number, making it a prime.

Similarly, (P-1) won't be divisible by any prime. Making it a prime as well.

Therefore, (P+1, P-1) is a twin prime.
And by contradiction, (N+1, N-1) is not the final twin prime.

Conclusively, the series is infinite. 

Now, as I said the argument is very simple and it'd be ludicrous to think I'm the first to think of it. Which further means there is a hole or error in it somewhere. So, if you spot anything, help me out.

Sunday, December 14, 2008

Guten tag

I just created this blog for two reasons. First off, I fancied the name. And secondly, I wanted to try out a new blogger template which I wasn't willing to use on my other existing blog because then I inexorably lose all my gadgets.
I had two options for the template. The alternative had eldritch green fumes along the periphery. But I settled for this one since it reminds me of ńĆerenkov radiations. And the reason for the pop-up comment box is that blogger decided to bug the regular one.
Ah, and concerning the title of this post, I've always wanted to learn German among a dozen other languages. Maybe I'll get to that sometime.

So, here I welcome you to my new blog which I will hopefully be inspired to use sometime.