Confused at a higher level

The learning and teaching journal of a liberal arts college physicist

Archive for July, 2008

Relationships as physical theories

Posted by arjendu on July 30, 2008

Jennifer Ouellette has a fun post on Physical theories as men (responding to a McSweeney’s article that, yes, I also seem to recognize as being adapted from something familiar, on Physical theories as women). And this, in my current drug-addled state (I am recovering from elective surgery designed to stabilize my shoulder against recurrent dislocations) seems to be a good excuse to do my own little inversion of the theme: Seeing physical theories in relationships — at least the theories I work with the most. Bear with me? It’s a little bit of an extended pun, something of a metaphor stretch, but …

What do I mean? Well, first, let’s see, there’s nonlinearity, chaos, and deterministic unpredictability. Which seems to characterize the whole sex and seduction thing, at least for a geeky puzzled guy like me. Yes, I decided to start with the most difficult one to write about.

Oh, I am not talking about the strangely fractal patterns that your bedsheets get into (though I am clearly throwing away plenty of pun-able material in the term strange attractor), or, ahem, the broad-band spectrum of the various different frequencies that make up the time-series in the actual making of the beast with two backs (or however you like to do it). I am talking about the way in which an evening (say) might unfold, even (particularly!) with a long-time partner — things would be going smoothly, the music is perfect, the food is good, the jokes are flowing, and then … something happens, and the chemistry dries up, the headaches start, etc. And other times this works out very well indeed. And the obverse: Both of you in a grumpy mood, clumping towards solitude, and bam, a smile, a joke, a conversation, a touch, a kiss, and you are in each other’s arms, grateful, so grateful for each other. Or not, but that’s the point. Deterministic unpredictability, I tell you — every step logically leads to the next one, but you couldn’t have predicted where you end up by your imperfect knowledge of the initial condition. (Or this only the beginning of relationships that I am talking about?).

Moving on, with an embarrassed cough: Quantum mechanics. Well. That’s one of the most mysterious theories around, has phenomena like entanglement, tunneling through barriers, interference effects, non-locality, and so on. If you allow yourself to drift into metaphoria land, it’s imagery meant to describe what we term ‘love’, innit ? I could riff on measurement collapse and how naming a relationship alters it. Or what it means to try extract quantum phenomena from our day-to-day experience, even though it underlies everything. You’ve got to be careful, and work hard, and be smart, and protect against random perturbations that kill the quantum-ness. All that.

And then there’s stochastic processes. It’s like the ‘friendship’ part of a relationship. Things happen, interactions are sometimes nice, sometimes grumpy, you are attacked unprovoked (seemingly) and you later understand is because of something that had happened earlier, or treated wonderfully when you don’t know what you did to deserve it, perhaps. And you build up statistics internally. Don’t understand a relationship by any one event or sets of events, but by patterns that emerge, that accumulate. That can shift gradually when you aren’t noticing. But are ultimately clear when you step back and look at the big picture.

So, what do I do, as a good chaotician/quantum mechanic/statistical mechanic? Try to understand and appreciate these phenomena — chaos, quantum mechanics, stochasticity, each remarkable on its own. And the wonder is the beauty that emerges when all three interact. As they do in my work. And metaphorically, in my life.

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Lightning struck twice this year!

Posted by arjendu on July 21, 2008

My paper with Arik, that went through more rounds of complicated Referee reports than I had previously experienced, got accepted at Physical Review Letters! Who-hoo. (See a previous post about why that’s something worth celebrating.)

I had previously tried to write down what we did in this paper, here’s a newer version. The title is “Non-monotonicity in the quantum-classical transition: Chaos induced by quantum effects”.

Classical (that is, day-to-day) systems can be understood as the limit of quantum system as the system size becomes sufficiently large, such that Planck’s constant is essentially zero. Of these classical systems, it had been understood that some (perhaps many, perhaps most, depending on how you count) classical systems are chaotic and on the other hand, their quantum counterparts are NOT chaotic. This perspective has changed recently when considering so-called ‘open systems’, which accounts for local and random interactions with other nearby systems, termed environmental decoherence — in this case, the quantum system can be chaotic as well. What this paper shows is that in a classical system which is NOT chaotic, as the system size is decreased, chaos can emerge. Thus, quantum effects such as zero-point energy and tunneling are responsible for the chaos. As the system size is increased further, the chaos disappears, providing a striking example of the fact that the behavior of nonlinear systems as a function of parameters can be qualitatively, and not just quantitatively, non-monotonic.

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Science Idol Voting

Posted by arjendu on July 10, 2008

Short post, just a link, really:

“This spring, to draw humorous attention to the serious issue of political interference in science, [The Uninon of Concerned Scientists] offered supporters the chance to enter Science Idol: the Scientific Integrity Editorial Cartoon Contest.

Follow the link to vote for your favorite of the 12 finalists. You’ll be entered to win some great prizes!

<http://ucsaction.org/campaign/science_idol_2008_vote/>”

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