Category Archives: Manifold

Day 7: The tale of the two headed snake!


If I go on like this, I’ll soon end up writing my own operating system.

Ok, I probably won’t. (there is really no reason to do so anyway, all the present systems work just fine).

Today all the major websites of the world – wikipedia, reddit, even wordpress is observing a blackout to protest the SOPA and PIPA  bills. The power of the internet is amazing. Truly. Apparently Pirate Bay was one of the reasons why this bill was introduced, but get this  – I never knew if Pirate Bay until now, thanks to PIPA and SOPA, I not only came to know what that is, but also is happily downloading Windows 7 through utorrent as I speak. The power of the internet is amazing. Having said that, it would probably be the 100th day by the time I complete my windows download.

With the website temporarily out of the way, I am more focused on the General Relativity part now. Have been working to understand tensors – I have reached Reimann tensors in Schaums till now. It’s great progress considering where I was last time. It’s fun, but in the meanwhile, my own aptitude had increased, I think I am far more receptive to these information now – Which could be why I kind of follow it instantly. I am thinking more and more about manifolds and particularly about the intersection of manifolds. This seems an interesting problem – it is to me. At the heart of all of this, I have a gut feeling the properties of numbers are tied to the space in which they are embedded and that we have not identified what would be the invariant number theoretic properties from this perspective. I completely accept the fact that this could be another one of my false leads – but that’s ok. The information that I am gaining more than enough compensates for this. Plus, it always helps to work with a definite problem in mind. Makes your understanding solid.

Could there be a universe with two dimensions of time?

Think about this: we have three dimensions of space and only one dimension of time. (forming the famous four dimensional space time continuum). Even in advanced string theory, where there are eleven dimensions of space, there is only time dimension. Physically in a two time dimensional universe you could meet someone at the corner of X and Y (in city Z) at 10:00 am this time and 2:00 pm that time. (Whatever that might even). There is no point even trying to visualize it – you can’t. Far more than space, the concept of time is ingrained in our brain and evolution. (Think: Biological clock).

A possibility is that there maybe no time dimension at all. Time is – I’m just saying – just an illusion produced by something else. In that case, the number of time dimensions is actually zero. This is another reason for learning tensors – math might just be the way to study this. You could start with general variables and see how things change when you add or subtract extra variables.

I’m not hoping to achieve anything – In all probability, I won’t. But it’s fun to learn and to be able to talk and work in the same language as others. Also, there would be less things holding me back from understanding things I truly like – be it General relativity or continuum mechanics.

I’m expanding and I’m enjoying it. I’m hungry, very very hungry. 🙂

Day 1: Things to do in the next One hundred days


It seems like I have an awful lot of things to do in the next One hundred days. I am quite delighted that I don’t have moderately ambitions goals like “conquer the  world” or “derive the theory of Everything” in my list – it might be easier to teach my father to use the internet.

So let’s see:

  •  I definitely need to work on my body – I have come to love the sadistic feeling of pain and sweating it out at the gym. Also, I need to start now if I wanna have those six packs by the summer beach season. That reminds me to buy a protein pack. I have been using Gold Standard, but that thing is expensive here – maybe I should look around for  a less expensive local brand.
  •  I should definitely solve the problem of torsion of compound prismatic bars. This would make Prof AK quite happy and let him know that I have not wasted his or my time during the break. I would need to convince him that both I am Ok as well as give me something to say for the next four or five years. You see, I’m now on a medical break (Long Story) …and I am quite convinced that AK wasn’t delighted at the turn of events. The project was just shaping up when I just took off and left. I assume there would be a host of papers already published by the time I return – I’m not afterall the only one in the world working on Flexo-electricity. Solving this would be my deal breaker. I can hold my head high when I get back to Brown – and probably start on the experimentation right away. maybe have a paper by the MRS fall conference. Wait, Baby steps lord, baby steps..

This isn’t easy however, and would be the most comprehensive of my tasks – I’m from a materials background and this is a purely mechanics topic. I had famously flunked both the mechanics courses in my undergrad. If only I had known that mechanics would come to bite me in the ass years later….

So to do this task, I need to do the following subtasks:

  1.  Learn Solid mechanics – Professor Bower’s book might be the way to go. I need to open up the book and start reading…maybe I should print the whole thing out – I cannot read a 1000 page book directly from the screen – it might be easier to turn into a cyborg. So the hope is to be able to understand the torsion of prismatic bars  – I’m hoping to god that someone has actually derived it. I have no intentions of turning into a Timeschenko at this age. Brown doesn’t pay me enough
  2. Even with subtask 1, there is no actual closed form solution. This can only mean one thing – Abacus!! Apparently this is some kind of modeling software that would do all the thinking for me. But I had drilled Sean into doing this for me. But that a-hole did nothing! I mean NOTHING! but he did prove that there is no routine in Abacus to calculate strain gradients – the holy grail of flexo research. So I would need to write the subroutine by myself.  If I can do this, I might as well write the complete subroutine to be able to calculate the polarization values directly – this would be a small step for mechanics, but a giant leap for me. Go me!!
  3. With all of this, I might as well finite element analysis. Which apparently is the basis of all of modern mechanics.

I guess Ak would come and kiss me if I do all this. Maybe I should get two PhD’s for this, instead of one? Some I should look into. If only I had an identical twin brother. Damn random gene pairing rules.

But I should do this task. It is not only a great intellectual challenge, but might propel me from an average student to a research biggie. I should do this..i should ..

  • The short story collection – This is like the one of my oldest dreams. Something that I have wanted all my life. Seriously, I think that this is one of oldest of my unfulfilled dreams. Plus, if I just worked out in the gym and studied for my research it wouldn’t be a medical leave would it? 20 stories should ought to do it. I so far have one. I’m 5 % of the way there. Way to go Lord, way to Go!
  • Design the website – I have been wanting to design the AK group homepage since forever. This might I might actually be able to do it.

I return back having designed the website and having solved the torsion problem; AK would overflow with tears of joy. And I can forever look back and call this my Happy hour. I should do this. Plus, from what I see so far, this is kinda fun!

  •  Work on Depression methods – practice and perfect Wakeful meditation. I should do this, no question about it.
  • Also, learn General relativity ? – this involved tensors, manifolds and field equations. Ambitious but achievable

I guess that’s it. My stepping stones to greatness. I will elaborate on each of them in subsequent posts. There is a story behind each. It should be fun.

So there it is – 99 days to go! Come D-Day May 22, 2012!!!

LordGabbana! Prepare for greatness!!