Anniversary and Decimal Places

Anniversary and Decimal Places

This week marks the first anniversary of Dr. Bortrum”s columns

for stocksandnews.com. I feel comfortable in referring to

Bortrum in the third person inasmuch as he is my alter ego, born

when I decided to use a nom de plume for this journalistic

endeavor. (After using the term alter ego, I found the dictionary

gives one definition as “another aspect of oneself”, just what I

meant!) Over the course of the past year, I have learned a lot

from Bortrum about subjects ranging from Viagra and harmful

algae to quarks, gluons and black holes. Bortrum has had the

temerity to write about topics that I would never consider for my

own scientific papers. He also has occasionally injected bits of

humor in his columns; at least I found them humorous although

my wife occasionally has disagreed.

Back in my semiconductor days at Bell Labs, I once did an

experiment that lasted 98 or 99 days and got the best data I had

ever obtained in that particular area. In the paper I submitted to

the Journal of The Electrochemical Society, I threw in a

statement that it would have been aesthetically more pleasing to

have run the experiment for an even 100 days. However, I noted,

there was a predicted thunderstorm and I cut the experiment

short in case the thunderstorm caused a power failure and shut

down my furnace. By accident, I received the signed copy of the

referee”s report, usually anonymous. The referee was an

esteemed member of the electrochemical community and in fact

was a past president of The Electrochemical Society. He said

that my flippant remark about the 100 days, etc. had no place in a

scientific publication and downgraded my manuscript from a full

paper to a mere technical note! You can understand why I am

delighted that Bortrum can deal with science in a more casual

manner.

As I mentioned above, one topic Bortrum treated was black

holes. I didn”t realize just how well accepted and understood the

concept is by the general public until last week. In the daily

comic strip “Over the Hedge” the raccoon and the turtle were

discussing black holes and there was a depiction of one,

complete with a sign designating the Event Horizon! I had no

idea that nonhuman members of the animal kingdom, let alone

the cartoonists who draw them could relate to such a wondrous

cosmological entity. Last week was National Cartoonists Week

so my belated best wishes to our Lamb creator, Harry Trumbore.

The concept of the black hole, you may recall, arose out of the

work of Albert Einstein. Regular readers of Bortrum”s columns

cannot have escaped my veneration of Einstein as my scientific

hero. Hardly a day goes by that someone isn”t preparing to or

actually trying to either confirm or debunk one or another of

Einstein”s tenets or conclusions. A central idea in his relativity

theories is the simple hypothesis that the velocity of light is the

same no matter what the source. Well, Kenneth Brecher of

Boston University recently put this idea to the test and claims to

have found that this is indeed very very true. In fact, an article in

the April 28th issue of Science cites Brecher as proving it”s true

at least out to 20 decimal places! I can”t imagine being able to

measure anything that precisely. What Brecher did was to

measure the light arriving from very distant celestial events

known as “gamma ray bursts”. Gamma rays are photons, but not

optically visible photons, with higher energies than X-rays. The

origin of these very intense bursts of gamma rays, lasting small

fractions of a second, is not known. However, they are quite

common and, with present day detectors, the chances are good

that you can see one a day coming from somewhere in the sky.

The bursts appear to be one-shot deals, however, each burst

coming from a different part of the sky.

Brecher”s thesis is that such intense energies must be associated

with chunks of matter flying through space in different directions

at immense speeds approaching the velocity of light. Without

Einstein, one might naively think that if a light source is moving

rapidly toward you the light might get to you faster than if

another source, at the same location, was moving in the opposite

direction when it emitted the light. What Brecher did was to

analyze the shape of the intensities of these bursts as a function

of time. That is, if you”re recording the “brightness” of the

gamma ray burst on paper or on a photographic film, how sharp

is the peak that you measure? What Brecher concludes from his

analysis is that any differences in the speed of light must be less

than 3 billionths of a millimeter per second. If you divide this by

the speed of light of 30 billion centimeters per second it comes

out that any variation has to be in the 20th decimal place or

more. I”m somewhat relieved to find that Brecher apparently did

not actually measure the speed of light out to 20 decimal places.

Instead, he”s saying that, whatever it is, it”s the same at least out

to the 20th place.

Bortrum felt up to the task of discussing dark matter by his third

column. Dark matter is still in the news. In a recent column

Bortrum discussed work claiming that the WIMP, a postulated

particle for dark matter, has been identified. On the same page

of the issue of Science cited above, there is an example of dark

matter and its importance in contributing to the weight of

galaxies. This study by Wyn Evans and Mark Wilkinson, two

British astronomers, concludes that, contrary to what has been

thought for years, our own Milky Way galaxy is heavier than our

neighboring Andromeda galaxy. The reason Andromeda has

been thought to be heavier than our own familiar galaxy is

because Andromeda is bigger and brighter and has more clusters

of stars than we do. What Evans and Wilkinson did was to focus

on distant objects outside Andromeda and calculate how fast they

were spinning around that galaxy. They now have measurements

on 40 or so objects ranging from clusters of stars to tiny dwarf

galaxies. By concentrating on objects that are well outside the

bulk of the galaxy, they calculate the mass of the galaxy that

must be present to hold the objects in their orbits. I presume the

calculation would be akin to calculating the mass of the earth

from the orbit of the moon. At any rate, they conclude that

Andromeda has a mass of slightly more than one trillion solar

masses, about half the mass of the Milky Way. This is

surprising, if true, since it means that the amount of dark matter

surrounding Andromeda is much less than expected.

Both of the above studies have those skeptical of the conclusions,

as it is with any major finding these days. So, we”ll keep tuned

for any new developments.

Back to Einstein, there is a major multi-year effort going on to

test another of his conclusions. This effort is being launched in

Livingston, Louisiana to the tune of hundreds of millions of

dollars. The impressive name of the facility is the Laser

Interferometer Gravitational-Wave Observatory, more simply

known as LIGO. The objective of the LIGO endeavor is to

detect gravitational waves. Einstein”s general relativity theory

predicts that huge events such as two black holes colliding,

supernovas and other major disruptions should produce a

distortion in space-time that would propagate throughout the

universe as a wave. These waves have not been detected as yet,

although Russell Hulse and Joseph Taylor have inferred them in

some Nobel Prize-winning work. Russ and Joe found two

neutron stars that are engaged in a death spiral around each other,

the consummation of which will occur a couple hundred million

years from now. The rate at which they are spiraling together

turns out to match the rate due to the predicted loss of

gravitational energy from Einstein”s general relativity theory –

hence the Nobel Prize. I can”t help repeating how astounded I

am that Einstein himself never got the Nobel Prize for relativity!

But back to LIGO and the actual detection of gravity wave.

LIGO is essentially two tubes at right angles to each other, each

tube somewhat over a yard in diameter and 4 kilometers (over

two miles) long. These tubes are under vacuum and contain sets

of mirrors at strategic locations. Laser light is used to measure

the distances between the mirrors and the light bounces back and

forth amongst the mirrors making the path length longer than the

actual lengths of the two “arms”. By adjusting the distances the

light beams can be make to either “interfere” with or reinforce

each other. This is like the interference you see in an oil film on

a puddle of water, the pretty colors being interference colors.

What does this have to do with gravity waves? If a gravity wave

should come along, it would be expected to change the space

between the mirrors ever so slightly, enough to shift the

interference conditions of the light beams and result in an effect

similar to the oil film colors.

It all sounds not too complex to understand, at least until you

hear how big the effect may be. The gravity wave from those

colliding black holes billions of light years away might shift the

4 kilometer separation of the mirrors by less than a thousandth of

the diameter of a proton! My feeble calculation indicates that the

change in distance would be out in the 22nd or 23rd decimal

place!! Is this a trend or what? That speed of light had better not

deviate from being constant. I wonder if Mr. Brecher shouldn”t

be brought into the LIGO team. To even dream of

accomplishing such a feat the LIGO guys and gals have to deal

with such obvious things as vibrations, expansion and

contraction due to heating and cooling, winds and even the

“noise” arising from various esoteric quantum mechanical

considerations. In my humble opinion, if they manage to pull off

the detection of a gravity wave it will rank right up there with

putting a man on the moon and the Nobel Prize is a given.

Finally, for those purists out there, I should mention that the

gamma ray bursts discussed here are the “classical” gamma ray

bursts. There are also “soft gamma ray repeaters” which give

rise to gamma ray burst from the same location repeatedly and

are believed to be “magnetars”. When Bortrum thinks he has a

clue as to what a magnetar is he”ll probably go out on a limb and

write a column.

Allen F. Bortrum