April 28, 2013

Leonine Admonition.

(Utah State Capitol, Salt Lake City)

April 9, 2013

Analogically speaking...

Today, above the fold, the Washington Post's headline writers gave us a metaphorical harvest, flurry, road, and lightning rod.

April 4, 2013

Magnetic fields: Threat, or menace? [repost]

I have worked with magnets for over thirty years, yet I admit that I'm not sure if magnetic fields are real.

Now, they tell you that the magnetic field is real, real like the river's undertow that pulls you past the eddies beneath the sharp rocks and beats you down, but it's not. Not really. You feel magnetic forces, to be sure, but the magnetic field is not the fundamental truth. The truth is the magnetic vector potential. And this is not just my opinion; this has been known for over sixty years.

The magnetic field (what you hear about) is written as B; the magnetic vector potential (what you perhaps never heard about before today) is written as A. They are related by:

B =  x A

("The magnetic field is the curl of the magnetic vector potential.")

The truth is revealed by the Aharonov–Bohm effect, in which particle traveling past a long thin solenoid experiences a phase shift, even though the magnetic field is confined to the interior of the solenoid, which the particle never enters! Why does this happen? It happens because the particle sees the magnetic vector potential outside the solenoid. (A cool animation is available.)

So, A (the magnetic vector potential) is what's true and real and actually felt by the particle, while B (the magnetic field) is sort of an emanation, or a mathematical device, that almost always gives you the right answer (except in clever made-up configurations designed to demonstrate the Aharonov–Bohm effect, that is), and is handy. I suppose an attorney might say that while the magnetic field is (usually) a truth, it is not the whole truth.

Perhaps it's like your car's engine, where horsepower is what you read about, but torque is what you feel. The magnetic field is what you read about, but the magnetic vector potential is what you feel.

[Please note: Persons seeking legal advice should consult a member of their state Bar Association; we may in the future discuss an alternative approach to interpreting the Aharonov-Bohm effect, which does not appear to to rob the magnetic field of so much of her charm; post title refers to this.]

[reposted from June, 2010]

April 1, 2013


NeuroCooking NewsService, Kensington Maryland, 1 April 2013: In an announcement of stunning importance, leading neuroscientists today reported the discovery of the brain center dedicated to subserving belief in dedicated brain centers, and the founding of a research center devoted to study of the newly-discovered brain center for brain centers.

"Those functional neuroimaging reports of dedicated brain centers for things like pinball, banjo music, and knitting? Some people believe that stuff, and some don't," said Dr. Wan Ker of Bigger University, who led the study. "We asked why only some people believe it, and used functional brain imaging to answer the question. We found, in the subicular insula, a region that 'lights up' only in people who believe that stuff, and only when they believe it. So, we have found the brain center that subserves belief in brain centers."

Capitalizing on their findings, Prof. Ker and colleagues also announced the establishment of the Center for the Study of the Center for Centers (a.k.a. the Center Center Center) as well as plans to file for related patents. They have already filed a patent on using fMRI to select people with especially active center centers for journal editorial boards. No word on whether Center Center Center candidates will have their own center centers assessed.

[first reported here on April 1, 2010]


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