Showing posts with label time. Show all posts
Showing posts with label time. Show all posts

Saturday, December 08, 2007

Metrology

Earlier this year I went to a meeting at the OAS about metrology.

Metrology? Yaaaawn. Isn't the definition of units settled? Isn't that something you do in grade school?

Well, yes, and no. The study of units (metrology) mostly has to do with commerce - just as it did over two millennia ago when rulers wanted to ensure that merchants were measuring properly (and probably the motivation was not to protect the customer, but to ensure proper payment of taxes).

When you buy a thermometer, you'd like to know that it was accurate, right? Not taking your child to the hospital for an actual fever of 105 when it shows up as 103 on your thermometer could have serious repercussions. And these serious errors are out there: most thermometers in the world are made in (surprise, surprise) China. In a recent test carried out by the Uruguayan metrology lab, over 20% of the 120,000 annually imported thermometers for home use were found to be seriously defective. Similar failure rates were found for sphigmomanometers and other medical measuring equipment. (Source: Alexis Valquis, German Federal Technical and Physical Institute, PTB)

There are also cases where mismatches between standards can have large economic repercussions. The market for Canadian white paper is about $5 billion/year, with a great deal of this being in the European market. However, the North American and European 'standards' for paper 'brightness' differed by 0.5% to 1% on the same papers, and this implied an extra annual cost in bleach to Canadian mills of about $65 million to meet the European 'standard.' An intercomparison and recalibration removed the problem, which was completely artificial.

Even when you decide to use a standard from which to measure, you have to make sure you are using a common standard, since there are many different 'standards' out there. On building a bridge over the Rhine between Germany and Switzerland at Laufenberg, construction was almost finished when both sides realized there was a 54 cm height mismatch between the sides. They had known there was a 27 cm difference between the national standards, because the Swiss used the Trieste sealevel standard, while the Germans used the Amsterdam standard. However, since 54 = 27 x 2, someone forgot to check which one was actually higher than the other, and the corrections were applied in the wrong direction. You would think that two countries with such careful engineers would have caught this before it became a really expensive fix. (Source: Swiss Government website (in German))

Here's a good example of where you might be concerned (besides driving over a bridge where the sides didn't match): the amount of lead in wine. Samples from the same batch of wine were sent to labs all over the world, and the labs were asked to measure how much lead (Pb) was in the sample. Here's the spread in the reported results:

The stunning part of this is that the 10% spread is the narrow grey line, and the actual spread is well over 50%. The good news is that the national labs responsible for most of our safety got it right to within the 10% band. (Source: J. Anal. At. Spectrom., 2001, 16, 1091–1100, DOI: 10.1039/b103248h)

But what do you do if the 'standard' is actually changing? Incredibly, this is actually happening to the kilogram. As you might expect, for a long time the standard has been an actual physical object: a platinum and iridium cylinder cast in 1889 that is kept under high security at BIPM in Paris, along with six official copies (image below). Along with the original, many duplicates were made, which were shipped off to many countries existing at the time for them to use as their national references. The availability of many duplicates allows some sophisticated statistical studies, and they have allowed the rather odd conclusion to be drawn that, despite the security, it can be reliably demonstrated that this cylinder has lost about 50 micrograms over its lifetime. This change may seem small, but it has huge implications for the metric system, since there are many other derived units which depend on the base unit of the kilogram. There are all sorts of efforts underway to define the kilogram using physics rather than a physical object, as has been done with the meter (the meter is now how far light travels in 1/299,792,458 of a second, rather than the distance between two marks on a 'reference stick' kept in Paris). There is currently a struggle between two camps: one which wants to generate a new object - an ultraprecise sphere of ultrapure silicon, and the other which wants to simply agree on a specific number of Carbon-12 atoms (Source: Eurekalert article).

Another point about the metric system - there are three countries that have failed to convert: Liberia, Myanmar and the good old US of A. Good company to keep. And how do these countries define their own standards in these older units? They refer to the metric system standards, of course.

Sunday, April 08, 2007

(not) Idle thoughts:

My prompt: "What people do when they are bored determines whether they will be great or not."

My son's response: "Do what should be done."

Us together, in the liverpudlian voices of the vultures in The Jungle Book: "Hmm. I dunno, whaddyou wanna do?"

Monday, August 28, 2006

Klepsydra:

The clock and electricity are two large factors in mankind's severing of Nature's umbilical cord.

The clock meant we no longer watched the sky to tell time, and electricity meant we no longer paid attention to whether it was light out or not.

Thursday, October 30, 2003

Sosigenes revisited (and refined!):

In school we learn early that February occasionally has 29 days, rather than 28. Leap years are necessary because the Earth hasn't spun an integral number of times in one year. If we ignore leap years, the calendar starts to diverge from the seasons.

In 325 A.D. The Council of Nicaea decreed that Easter should fall on the first Sunday after the first full moon after the vernal equinox. The problem lay in trying to predict what calendar date this would actually fall on, so that the Church could prepare a universal set of timetables for celebrating the correct mass. Very quickly the Church ran into problems when the accumulated errors from non-integral days in a lunar month, non-integral lunar months in a year, and non-integral days in a year all piled up on each other.

The last time we sorted out this problem (because the calendar was different from the seasons by ten days by the 12th century), some very interesting people were involved in the mathematics and structures developed to deal with this dilemma. A good technical read is John Heilbron's The Sun in the Church: Cathedrals as Solar Observatories. (1999, Harvard Univ. Press, 392 pp.)

Well, as you know, the solution was the leap-year. And the non-leap-year leap-years (remember 2000?). And the leap-year non-leap-year leap-years... etc. etc. You get the picture. Successive approximations. A complex problem, with a complex solution.

Well of course the more closely you look at it, the more complicated the whole thing is. The problem is that the Earth's day isn't always constant, either. I talked about Earth's wobbles in a previous post, but the issue here is the length of day, or LOD.

It turns out that there are actually leap-seconds, too. Every couple of years, an extra second is snuck in to your day. Now, it's not as noticeable as that wonderful extra hour of sleep we just got, but it is just as important. The reason is that the Earth's rotation is actually slowing down due to tidal friction (which also means that the Moon is slowly getting farther away, and will eventually be lost). A constant clock would slowly gain on the actual rotation of the Earth at a rate of about 2 minutes every hundred years.

"That's no big deal," you say. And I agree, where personal time is concerned. Humans can't notice changes like that. But computers can. For example, the computers that transfer your mortgage and escrow payments at the very last possible moment, in order to earn all possible interest. "Sorry, your payment was late by 1 second" is not something any bank wants to try and tell you. They know they will get an earful, so a completely standardized time is important. Especially if we want to make e-commerce work.

The surprising thing is that no one has really agreed on how to consistently do the leap-second shimmy thing. There are many brands of time out there -- by which I mean: solar, sidereal, Standard, Greenwich Mean, international atomic, GPS, Universal, and Coordinated Universal. And they all differ. Some by as much as 32 seconds. And not all of them leap at the same time. Not surprisingly, with so many to choose from, there are all kinds of problems built in to many computers because of the initial design choices.

You're damned if you do leap: the UTC leap seconds of 1994 and 1997 crashed the Soviet GLONASS navigation system. ...and you're damned if you don't: at midnight on November 27 2003, Motorola Oncore GPS receivers will skip a day, and then correct themselves within the next second, all because the best guess at the time they were designed was that we would have had another UTC leap second by now.

How to resolve this? By committee, of course! The International Telecommunications Union is studying the problem, and they might decide to throw out the leap second entirely. Just not right now, this second. They want to wait until 2022.

Thursday, February 27, 2003

Popol Vuh:

Today's date is 4:12.19.10.0.15 by the Mayan Long Count. Or maybe it's 4:12.19.10.0.13, depending on whom you believe...

This also means that we have fewer than 4,000 days left before the count begins again. Some people are working themselves into a froth over the fact, but I don't see any reason for the Maya to have any better insight into the date for end of the world than, say, Douglas Adams.

The more interesting part of this is that the Maya had a concept of deep time that is totally lacking in Western culture. We occasionally talk of centuries, but rarely of millennia. The Mayan cycle is composed, at the highest level, of an aeon that is 5,125 years long. On top of this, they felt that they lived in the third of these aeons. Now, admittedly, a zero date somewhere in 15,000 BC is nothing compared to today's geologic or astronomical timescales, but it's a darn sight better than Bishop Ussher's guess for the Origin of the Earth on October 22, 4004 BC, and better even than Newton's guess based on the uniform cooling of a sphere (the Earth) from the temperature of molten lava to the temperature of 15th century England.

The fact that the Maya dealt in such immense lengths of time very probably gave them a very different perspective on things. Unfortunately, whatever of this perspective that they passed on to the Aztecs did not survive the arrival of Cortez and his busy e-caravelle full of cell-phones, fax machines, and smallpox.

BTW, for the Hindu world, each incarnation, or Day of Brahma lasts 4.32 billion years. And it's an endless cycle.

Today is day 14,587 for me...