Who Watches the Watch, Man?

Who Watches the Watchman?

Let’s say you own a big building full of valuable stuff. How do you make sure that the night watchman patrolling your factory floor or museum galleries after closing time actually makes his rounds? How do you know he’s inspecting every hallway, floor, and stairwell in the facility? How do you know he (or she) is not just spending every night sleeping at his desk?

If you’re a technology designer, you might suggest using surveillance cameras or even GPS to track his location each night, right? But let’s make this interesting. Let’s go a century back in time to, say, around 1900. What could you possibly do in 1900 to be absolutely sure a night watchman was making his full patrol?

What an Entangled Web We Weave

Even if we don’t practice to deceive.

zapperz has a post up which points to an article in the WSJ on quantum entanglement: Science, Spirituality, and Some Mismatched Socks

zz marks it as a good layman’s review, but I don’t agree.

Stranger still is entanglement. When two photons get “entangled” they behave like a joint entity. Even when they’re miles apart, if the spin of one particle is changed, the spin of the other instantly changes, too. This direct influence of one object on another distant one is called non-locality.

This is a common summary of entanglement, and it’s wrong. The entangled particles are in indeterminate states — the only thing you know is that the states have a particular relationship, e.g. one is spin up and one is spin down, or the polarizations are perpendicular, depending on how you entangled them. But the notion that one of the particles has a definite state before it’s measured is a classical interpretation, not a quantum mechanical one, and that’s where the analogies that are often used fail to work. That is, a particle prepared in this fashion does not have a state until it is measured — the state of the particle does is not “hidden.”

So if you don’t know what the state of the particle is, you can’t say that it has changed. What you can say is that when you measure the state of one particle, you instantly know the state of its entangled partner, but at the instant you do this measurement, the particles are no longer entangled. Further interactions affecting that attribute will result in no effect on the other particle. And I think this is where the quantum wheels come off the wagon, because this classical misconception has not been dispelled. There’s still this idea that the two particles communicate, and do so instantly. The description given gives the implication that this is so, and then you have the contradiction when you are told that faster-than-light communication isn’t possible with entanglement.

The amusing story of Bertlmann’s socks harms the explanation.

Mr. Bell noted that if he saw one of Mr. Bertlmann’s feet coming around the corner and it had a pink sock, he would instantly know, without seeing the other foot, that the second sock wouldn’t be pink. To the casual observer that may seem magical, or controlled by “hidden variables,” but it was no mystery to Mr. Bell because he knew that Mr. Bertlmann liked to wear mismatched socks.

For the story to work properly you have to also include the notion that which foot was sporting the pink sock wasn’t known until you measured it. All you knew was that one foot had a pink sock, and that if you measured it on Mr. Bertlmann’s left foot, you cannot say that it was on his left foot at any previous point. Thus is the weirdness of quantum mechanics and entanglement.

My take is that any article that puts forth such a basic misconception can’t be a good layman’s guide.

A better treatment

Gee, I'm a Tree!

The Geometry of Bending

When you bend a thin strip of an elastic material you get a beautifully shaped curve. What geometry does this curve follow? Can the curve be calculated if you know the length of the material and the position of the end points? Is it possible to calculate more complex situations with several forces in different directions? Can you make similar calculations in 3d? Can this geometry be useful in design/production?

(Hint: when in doubt, guess “yes”)

Keeping With the Theme

More childrens’ stories physics.

Built on Facts: The Physics of Rapunzel

[T]he plot revolves around her letting down her hair. Hair has weight, and so she’s going to have to have some strength to hold up the weight of all that hair.

I have a cartoon for this, too, though not about the tensile strength of hair.

rapunzel

Let's Violate Causality, Too

Chad points out the physics problem with Goldilocks in The Faulty Thermodynamics of Children’s Stories

The description provided of the other two bowls, though, is not consistent with known physics. The Mama Bear, as the other adult, ought to have the second-largest bowl of porridge, which, in turn, ought to be the second-warmest bowl of porridge (assuming that equilibrium has not been reached). But the story says that this bowl is too cold! Meanwhile, the Baby Bear, who ought to have the smallest portion of porridge, has a bowl that is “just right,” neither too not nor too cold. As the smallest bowl, though, the Baby Bear’s porridge ought to be the coldest of the three (until equilibrium is reached, of course). There is no way for the bowls as described to have the temperatures described, while being consistent with the known laws of thermodynamics.

So I decided to travel back in time to draw a cartoon depicting the problem.

goldilocks

Is it Science?

Teaching Peer Review

Teachers have been giving feedback on what has caught the imagination of the students. The interviews with “real” scientists and editors describing their experience of the peer review system “raised a few eyebrows.” The students were shocked to discover that the process existed at all, and that scientists welcomed constructive criticism from their peers about how they could improve a paper. This challenged the notion of scientists always being “right.” That most reviewers give their time for free also hit a chord.

Very importantly, they note that peer-review isn’t the same as independent confirmation — it’s simply one hurdle that screens out obviously-flawed papers with some efficiency.

The new course material points out that clearing the peer review process doesn’t make a piece of research “right,” it’s just one cog in the scientific development wheel. But it is an important cog, being the first point of distinction between what is speculation and opinion and what is scientific.

I hope this helps. At the very least some will have learned the implications of neither the op-ed page in the newspaper nor a post at some_random_schmoe.com being peer-reviewed, and that they should be assessed accordingly.

Slo-Mo

I-Movix SprintCam v3 NAB 2009 showreel

Here is the first SprintCam v3 showreel, made for NAB 2009 exhibition. Mostly 1000FPS shots, made during a recent rugby competition in the Stade de France, Paris.

I am particularly enamored of the dropped gelatin cube, starting at about 2:00. Mmmmmm, vibrational modes. Watch it — there’s always time for Jell-o.

That's Odd

Thursday is an Odd Day

Odd Day is coming Thursday, 5/7/9. Three consecutive odd numbers make up the date only six times in a century. This day marks the half-way point in this parade of Odd Days which began with 1/3/5. The previous stretch of six dates like this started with 1/3/1905—13 months after the Wright Brothers’ flight.