Sunday, 3 April 2011

The Quantum Theory of Life

In Physics, quantum mechanics is a theory that describes the world in atomic scale. It is probabilistic in construction, and claims that everything is non-deterministic with the famous uncertainty principle. To put things more mathematical, this theory uses wavefunction to describe the wave particle duality behaviour of matter and energy. Any wavefunction can be written in terms of a linear combination of basis state, which resides in the Hilbert space. The modulus square of the coefficients give the probability of that state, and they are normalized. When a measurement is made, the eigenvalue of one state will be observed. I shall not go on to the collapse of the wave-function interpretation as they are highly debatable.

Now if we want to define our life, we can think of it in terms of defining a wavefunction, in a very similar way that we define the state of matter. For example, the languages we speak can form a basis state, with the coefficient representing how well we speak that language. In my case, it can be approximated easily as (using Dirac notation for wavefunctions) |Yun> = 1/sqrt(2) |Chinese> + 1/sqrt(2) |English> . However, this is approximation, as I know a few words of Japanese and German, but they definitely don't count as the coefficient would have at least 20 zeros after the decimal point.

Another interesting basis set we can use is the countries we have stayed in. In this highly globalized world, more and more people are born in one place, raised in another, and working or studying in a third country. Maybe for some none of these are their ethnic native country. Quantum theory somehow can sort of model this highly dynamics society.

So what is your wavefunction?

Saturday, 19 March 2011

Be strong, Japan

The images are shocking. Entire villages are destroyed, totally annihilated from the map. Cars float on water, as if they are toys. The saddest of all are those of the people affected. They have lost everything, maybe some of their loved ones. Their current and future are uncertain.

BUT it is Japan we are talking about here. They are the 3rd largest economy in the world, their buildings are designed to withstand strong Earthquakes, and their people are civilized and prepared for such disasters. If I were to name a country that can recover the quickest from a such a natural catastrophe, it would be Japan without a doubt. The problem is, it is not one, but 3 disasters, that struck almost immediately after the other. The earthquake was strong, but happened offshore, and most buildings were intact. Then there is the tsunami. I don't think any man-made structure can withstand a wave of 10m. And worst of all, all these are followed by the possible nuclear fallout from the power station. The nuclear part of the problem is still a ongoing battle. I wish all the best to the team behind it and you guys are heroes.

There might be some media hype about the radiation level. Rumors are rife that Japanese products are no longer safe, and there have been comparison of this with other nuclear accident. Certainly we cannot dismiss anything to do with a nuclear reaction as a "small thing", but we need to remain in perspective. Risk communication is vital during such crisis to prevent any unnecessary stress and irrational behaviour.

It is a test of unity and resolve. I sincerely hope that everything will be under control soon, and effort to be focused on rebuilding the affected areas, and offer support to the victims. The world is behind you Japan.

It is also very unfortunate that the Pembroke international programme is at this time of the year. The university part of it was cancelled, but the high school one will still go on. It can be a very delicate task to approach them at these time. But I hope they are not too affected by the events back home, and can enjoy their time in Cambridge.

Sunday, 13 March 2011

Cambridge Diary XI

Pembroke Mile is an annual charity event held by the college. Like the London marathon, it is a day of funfair. Some people compete for the ultimate prize, while most others just turn up in fancy dresses and attempt to finish the race. Distance wise it is not particular challenging, but coming up with a good costume takes quite some preparation, and winning is not easy.

Matt suggested to me this crazy idea of completing the race as wheelbarrow. It sounded really ridiculous. There is no way that as a pair we can do that for a mile, so I turned it down. He then somehow persuaded Mark to do it with him, and started practicing on Saturday morning. They soon figured out it was quite difficult and instead of quitting, they asked me again if we can do it in the group of 3. I went down to try with them, and it wasn't THAT bad, and we sort of figured out some good ways of holding the crawling person. It was quite embarrassing as we inevitably drew some attention from some friends and a lot of tourists who were in college at that time. They really had a good laugh and definitely thought we were nuts. Even the Master saw us, and seemed unconvinced. At that point, we were not totally sure if it was all worthwhile. Naturally we thought of asking people for donation to our cause, which is a rather common thing here in the UK. That was the last persuasion needed, and I was on the team.

Matt put up some suggestive posters around the college. He also physically "pressured" quite a lot of friends to sign up. By the end of the day, we have around 100 pounds worth of pledges, which was pretty impressive for just one day of fund raising. He had done a really good job.

Then came the impossible task of completing the race itself. We started off really slowly, and had to stop much more frequently then we thought we would. The gloves we bought was torn well before the first 300 meters. However, there were some really supportive people with us and they encouraged us and cheered us along. We were really grateful for their support. We also tried different ways of doing it and just took a small distance at a time, and kept on rotating. My arms were hurting really badly almost right from the start, and I didn't know how I managed to continue to be able to doing all the carrying and crawling. A lot of people and small kids were literally laughing at us. The most difficult part of was the not the crawling but the carrying as there is no natural place to hold on to. I am also the weakest among the team and had to reply quite heavily on Matt and Mark, and somehow by sheer determination, craziness, the tolerance of pain and the thought of all the support we have received, we made it back to the College Hall to be received with applauses. And the free brunch was just awesome!

I would really like to thank everyone who has donated, and encouraged us. To be honest we looked really stupid, but I think it was worth it.

I'm off to collect my bike in the pitch now.

Tuesday, 15 February 2011

Cambridge Diary X

Nothing very interesting is happening in my life. Except I am having a Shadow for these few days, who is following to lectures and practicals. She has been to Cambridge before so things are not new to her. Think she was quite terrified by the 4 hours of lectures and 4 hours of practicals I had on Monday. Oh well. I am terrified myself.

There are some changes to people around me. A few of them got attached, and a few of them are not having too good a health. Wish them the best in everything.

Week 4 is coming to an end. I have now almost completed half of my undergraduate educations. These are the best years I am having, and so sad that days are kind of numbered now.

Sunday, 30 January 2011

《劝学篇》

小时候总觉得自己很聪明,算数比班上大部分人都好;一起玩耍的同龄小孩中,象棋我从来没输过,一段时间甚至忘乎所以,以“天才”自称。年十三到了新加坡,令我出乎意料。英语听不懂,课跟不上,与同学无法交流。受了这打击后发奋图强,两年后情况大有好转,不过又开始得意忘形。东林并不是什么顶尖学校,虽然认识到了这个问题,但觉得也不太碍事。升学时出了很多状况,可以说是第二次打击,但这次不太一样。国初里多才多艺的人不在少数,我这井底之蛙突然感到十分无用,为什么别人能这么有效的利用他们的时间?我尽力弥补前几年的无所事事,效果终究有限。到了剑桥,这种自卑心理得到了另一种的升华。我可以说是虚度了二十多年的光阴,一无所成,能力有限是一方面,对事情认识的不够清楚是更大的障碍。

荀子的《劝学篇》有一句话是这么说的

"故不登高山,不知天之高也;不临深谿,不知地之厚也;不闻先王之遗言,不知学问之大也。"

每个人的经历都不同,有时候可能一辈子也没出过自己的村庄,但是却有“秀才不出门尽知天下事”的本领。原因在于他们对事情的好奇与关注,加上对世事和道理的认识,从接触的人中就能得到所有知识。反观现在信息科技这么发达,人们反而什么都不知道了。

每本书都有它的局限性。《劝学篇》鼓励人么好好读书,但在这个时代“万般皆下品,唯有读书高”这种观念已被淘汰。但我们可以从全方面发展的角度来理解它的含义,取得“青。取之于蓝,而青于蓝。”的效果。

Sunday, 16 January 2011

The Hungarian bit

Now the Hungarian bit of the story.

I went to Budapest to visit a friend. He is the legendary and elusive Mate. I have him as supervision partner this year for all 3 of my supervisions. Other than making me look incredibly stupid during supervision, he is a very nice person. Very quiet, but great to talk to and very enthusiastic about Physics.

He has kindly agreed to let me stayed in his house, and also offered to pick me up from Keleti train station. However, there was a small drama before we met. I was sleeping during most the train ride. Subconsciously I knew I need to be alert and not miss my stop. So when I suddenly heard Budapest something, I just grabbed my bag and alighted. The place look surprisingly run-down. Mindless graffiti and wall posters are very not European like. Is Budapest so different from Vienna even though they are just two and half hours apart? After wandering about for a while, and not seeing a sign of him, I finally came to realize I'm at the wrong stop. It was Budapest Kelenfold. Oh what a start! Luckily I met a kind soul who spoke perfect English, and he told me the directions to Keleti by other public transport. Finally after 2 more transfers and an hour late, I arrived at Keleti to be warmly received by Mate.

I was first brought to his house. He lives in what looks like a suburb area. It is very peaceful and quiet, and very beautiful with all the snows. His mum was in to receive us. However, she doesn't speak much English, so the initial meeting was kind of awkward. Mate then showed me around the house and my room. It was not a very big place, but very cosy. His room is full of the medals and certificates he won in high school, and there are seriously loads of them. His brother and sister are living upstairs, and strangely they had a kitchen to themselves! As this is the case, I hardly saw two of them during my stay. We then had lunch prepared by her mum, and after a short rest, and went out.

Mate has to be the best tour guide in many ways. He knows the place at the tip of his fingertips. The history, the story and how in some ways he is connected to them. Throughout the 4 days, he showed vast knowledge of Budapest. Honestly, if I am supposed to do it, the only city I can possibly do a half decent job is Cambridge. I seem to have lost touch with Singapore, Shanghai, and my hometown. If there are any serious connection to begin with. Haiz this has set me to some pondering.

After a brief tour of city centre and then Margaret Island, we went back to home early. His mum was preparing a very Hungarian dinner for us. It was some sort of beef stew and was absolutely delicious. This has to be the first time I have eaten in a traditional meal in an European family. We played lots of puzzle and games after dinner. I have never seen so many of them in my life. They were intellectually challenging and interesting.

The rest of the days were pretty similar. There was touring the city with Mate's extraordinary explanations and the quiet evenings of puzzles. I have learned a huge amount about Hungarian history and random facts. It was also a very culturally enriching trip. Very grateful for Mate's family for hosting me and it was a very special trip.

Friday, 14 January 2011

BBC featured a similiar random walk on Wikipedia

BBC featured a similar random walk on Wikipedia. It is definitely more sophisticated.

The article is called Lost in Wikipedia. It is part of a series of programme to celebrate Wikipedia's 10th anniversary.

Wednesday, 12 January 2011

Tour of Austria-Hungary Empire

Disclaimer: The union of the Austrian Empire and the Kingdom of Hungary back in the 19th century created a united land that spawned a big part of Central Europe. I have not, in this short month, travelled even a fraction of that. I just thought it is a cool name and was not meant to be misleading in any way.

I first landed in Vienna on... I think the 7th December. I can't remember the exact date, but I knew I stayed back after term ended to finish up that bloody report. Had a complicated room arrangement and then went to Zhengjie's place for a night in London. Anyway the reason for me being in Wien is that my uncle is here for a post-doc position, and I am here to see him, have a holiday and save some rent.

Vienna at first reminded me of Lyon. I think continental Europe has similar architecture. It is peaceful, and I could not understand anything just like in Lyon. Before I could begin to explore the city, I tracked the progress of "The Great, Greater and the Greatest" (ie the 3 greats) on Facebook. They happened to be travelling in the region and I met up with them for a day to tour the Schonbrunn palace. It was the first major tourist attraction I went. Other than all the fun and talking the most memorable part was the cold. It was really very cold with temperature around -10 degrees. As it was a Sunday, which has a special significance in Austria. After labouring very hard to locate the restaurant "The Great" was interested, it was closed, just like all the other shops. Luck for us, there was a Vietnamese restaurant open for business nearby. It was such a relief to be indoors. We went in and "Greater" used his Cantonese to help us order food. It was very hilarious in that moment as we were trying to find out exactly what we were getting. It was a super long lunch. When we were done with the main course, we ordered dessert, and then another round of dessert by the "The Greatest". We well achieved our purpose of defrosting and filling our stomach before we left.

Oh well that was a nice day. But for quite a number of days I followed my uncle to Technische Universitat Wien to study. My first few days were embroiled in the bitter struggle to finish the Math Computer Assignment. After that it was the math example sheet, and optics. I was quite alarmed by the amount of things I did not understand in term time. Even now I still have loads of overdue work and a significant chunk of the syllabus to revise. Anyway I became quite familiar of the place after a while. The buildings and facilities are very new, and it is located in the city centre. I got to know one or two persons. I also attended a Masters student's graduate party, and then a Christmas party of the department. It was not easy to talk to anybody as it was firstly very weird and also they speak German. Feuerzangenbowle was the main thing I remembered, as well as a very delicious beef stew.

Another noteworthy thing is the underground system. There are no gantries, so everybody just walk in and out freely. There's a ticketing system but from the look of it much self-discipline is needed. There are people conducting random check though, and I was checked on Christmas day itself. That day I went to the central cemetery Zentralfriedhof. The graves of Mozart, Beethoven, Schubert, Strauss, Brahms and most importantly Boltzmann are there. It was kind of like making a physicist's pilgrimage to visit Botzmann's resting place. It took me quite while to find but I think it was worth it. Luckily I had my tickets.

Vienna's beauty are undeniable. The city centre is full of palace, church, museum, theatre and other places that are just pleasant to look at. The city layout is awesome and everything just seem to fit with each other. The transition of modern and medieval is smooth, especially with the old fashioned tram and subway going around. It was like a old photo with most of it frozen in time and some parts slowly developing using modern technology. With the Danube flowing through it, it is perfect.

However it is such a pity that the cold spell has to arrive so early. From the first day until the end of 2010 I never saw wien without a significant amount of snow. I love snow as it makes everything look so ever pure and angelic. But the love so often are in contention with the welfare of my ears, hands and feet. So I ended up spending a significant amount of time indoors talking with my uncle and aunt. As a (extended) family tradition, the topics is always on China and the academia. It often extends to human nature. Sometimes I wonder why nobody in my family ever studied social science? We could have potentially write many thesis on contemporary Chinese culture and politics from such talks alone. It was great discussing these issues with them, as it made me more aware of how things are done in China, and its various issues.

And of course there are my two lovely cousins. I don't know many adjectives to describe them but they are just adorable. Lele is very eloquent and curious. He always takes his own time to do things though, and doesn't eat much during meal time. This, coupled with his whys can really drive me "mad". He loves Thomas and makes me watch it with him. The one achievement I have over this holiday is that I can recognize most of the tank engines in the series now, having watched none of it previously. I also read stories to him and he likes me to brush teeth together with him. LOL. Songsong is not yet one year old, and he is as chubby as my brother when he was Songsong's age. He has changed significantly during this month, now always be to stand up. There are so many things to say about kids of his age as they are always curious but can't talk.

Overall it has been a great experience coming to Vienna. Very sad to be leaving now. I shall talk about the Hungary bit next time, as this blog post is already quite long.