James Clerk Maxwell
Teresa L. Frisch, 12.27.08
I would like to pause for just a moment and pay my respects to James Clerk Maxwell, the man, the visionary, the physicist and the poet.
I read Maxwell’s poetry, written in “his” language and tone, wishing I could decrypt it so that I might understand his message, his thoughts. For when I stop and think about the nature of the poet, any poet, and his or her penchant for encrypting “the best words in the best order” (Coleridge), and apply that thinking to Maxwell, I am left nostalgic and wanting.
Wanting of the “more” he had to say to us, teach us, if his life were not cut short. Wanting to know where his mind would have taken us if he could have developed all twenty of his quaternions, including scalar hyperdimensional space. Wanting to know if, in losing sixteen of those quaternions to Heaviside’s lack of understanding, we have indeed been set back in our knowledge of electromagnetics by one hundred years.
Nuclear physicist Charles James Hall more than wonders. His four book series, Millennial Hospitality, chronicles his two year assignment and interaction with the Tall Whites, a species of Extraterrestrials at Nellis AFB in the mid-sixties. Numerous opportunities for close observation of them and their craft form the basis for the Hall Photon Theory (HPT). HPT, including equations and discussions of Einstein and Maxwell is presented in Millennial Hospitality III and IV.
A Problem in Dynamics
James Clerk Maxwell
An inextensible heavy chain
Lies on a smooth horizontal plane,
An impulsive force is applied at A,
Required the initial motion of K.
Let ds be the infinitesimal link,
Of which for the present we’ve only to think;
Let T be the tension, and T + dT
The same for the end that is nearest to B.
Let a be put, by a common convention,
For the angle at M ’twixt OX and the tension;
Let Vt and Vn be ds’s velocities,
Of which Vt along and Vn across it is;
Then Vn/Vt the tangent will equal,
Of the angle of starting worked out in the sequel.
In working the problem the first thing of course is
To equate the impressed and effectual forces.
K is tugged by two tensions, whose difference dT
Must equal the element’s mass into Vt.
Vn must be due to the force perpendicular
To ds’s direction, which shows the particular
Advantage of using da to serve at your
Pleasure to estimate ds’s curvature.
For Vn into mass of a unit of chain
Must equal the curvature into the strain.
Thus managing cause and effect to discriminate,
The student must fruitlessly try to eliminate,
And painfully learn, that in order to do it, he
Must find the Equation of Continuity.
The reason is this, that the tough little element,
Which the force of impulsion to beat to a jelly meant,
Was endowed with a property incomprehensible,
And was “given,” in the language of Shop, “inexten-sible.”
It therefore with such pertinacity odd defied
The force which the length of the chain should have modified,
That its stubborn example may possibly yet recall
These overgrown rhymes to their prosody metrical.
The condition is got by resolving again,
According to axes assumed in the plane.
If then you reduce to the tangent and normal,
You will find the equation more neat tho’ less formal.
The condition thus found after these preparations,
When duly combined with the former equations,
Will give you another, in which differentials
(When the chain forms a circle), become in essentials
No harder than those that we easily solve
In the time a T totum would take to revolve.
Now joyfully leaving ds to itself, a-
Ttend to the values of T and of a.
The chain undergoes a distorting convulsion,
Produced first at A by the force of impulsion.
In magnitude R, in direction tangential,
Equating this R to the form exponential,
Obtained for the tension when a is zero,
It will measure the tug, such a tug as the “hero
Plume-waving” experienced, tied to the chariot.
But when dragged by the heels his grim head could not carry aught,
So give a its due at the end of the chain,
And the tension ought there to be zero again.
From these two conditions we get three equations,
Which serve to determine the proper relations
Between the first impulse and each coefficient
In the form for the tension, and this is sufficient
To work out the problem, and then, if you choose,
You may turn it and twist it the Dons to amuse.ii
Revised 01.25.10
Page1 | Page 2
|
