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References. . .A
Difficulty in Electromagnetic Theory. . The
Diagonal. This is
an apocryphal story. The Pythagorean School held that the basis of all was
Number; integers (whole numbers) and ratios of integers. A superstructure of
philosophy was built on this basis. Hippasus
noticed that therefore the ratio of the side of a square to its diagonal must
be the ratio of two integers. His proof that the square root of two was not
rational would destroy the Pythagorean School of Philosophy from the ground
up. He was
taken out in a boat and drowned. The
Catt Anomaly plays the same role in electromagnetic theory. [Note 1] As Dr.
Lucia Turin of U.C.L. says, it should be dealt with on page one of a text
book. Instead
of drowning, Catt is totally ignored, and his Anomaly is ignored, by
professionals whose primary responsibility is to deal with such a problem. These
include; Alec
Broers, Vice Chancellor of Cambridge University (past Professor of Electrical
Engineering); Professor
Archie Howie F.R.S., Head of the Cavendish; Atiyah,
then President of the Royal Society, Master of Trinity Cambridge (my College)
who made his reputation in String Theory, which is based on Electromagnetic
Theory; Professor
Pepper F.R.S. of the Cavendish, Fellow of Trinity College, designated by
Atiyah to pontificate on the Catt Anomaly, see www.ivorcatt.com/2812.htm ; McEwan,
Reader in Electromagnetism at Bradford University, designated by the
Professor of Electrical Engineering to pontificate on the Catt Anomaly, see www.ivorcatt.com/2813.htm; Professor
Secker, the expert in the I.E.E. (Institution of Electrical Engineers)
designated to comment on the Catt Anomaly. The
Question posed by the Catt Anomaly is this. Where does the negative charge
come from in the lower conductor, to terminate the electric field which
appears between the conductors as a TEM wave travels from west to east guided
by two conductors? Some of
the listed Punkah-Wallahs state in writing that they are Westerners; the
charge comes from the west, down the conductor, and does not have to travel
at the speed of light in order to do its job; to terminate the electric field
appearing between the wires. Other of the listed Punkah-Wallahs are
Southerners, stating in writing that since the charge cannot get there in
time from the west, it comes from the south, rising up from inside the
conductor to terminate the electric field (flux) which appears between the
wires. Others, like Alec Broers, Vice Chancellor, and Atyiah, Master of Trinity
and President of the Royal Society, comment not at all, and do nothing
whatsoever administratively to deal with the problem, presumably thinking
that their role and duties have nothing to do with the pursuit of learning. Broers
was Master of Churchill College, past Professor of Electrical Engineering,
did nothing when I wrote to him asking him to instruct Howie, who reported to
him at the time, to resolve his difference with Pepper, who reported to
Howie. Howie had stated in writing that he was a Westerner. Pepper had stated
in writing that he was a Southerner. Atiyah did nothing beyond his first
instruction to Pepper to pontificate on the Catt Anomaly, when Pepper stated
in writing that he was a Southerner, and has ever since remained
incommunicado. Here is
a list of attributions; which Punkah-Wallahs are Southerners, and which are
Westerners. Broers.
Fifth Amendment. Atiyah.
Fifth Amendment. Howie
F.R.S.. Westerner. Pepper
F.R.S. Southerner. McEwan.
Westerner. Secker.
Southerner, then seven weeks later a Westerner, then self-disqualifying
{claiming incompetence. The IEE refuses to replace him with another
(hopefully competent) spokesman}. Professor
Pat Brown, Head of Electrical Engineering at Imperial College and then (1975)
adjudged a leading expert in electromagnetic theory, has to be dismissed
since he is in writing as being both a Southerner and a Westerner. (Called
"the Polonius Effect", it took Secker to the top of the I.E.E. and
"stinking fish" Brown to the top of Imperial College and GEC.
However, like serial monogamy, these gents only cleave to one theory at any
one time.) It is
worth repeating that these gents, bereft as they are of expertise in
electromagnetic theory, have only to convene a properly announced meeting and
properly publish the resulting discussion. I am not demanding technical
competence from them. I am only asking them to enable, rather than obstruct,
scientific advance. They have the power to do so, and that is what they are
there for. However, they insist in being obstructive. In the nineteenth
century, it was understood that it was necessary to find someone who would
defend the reigning theory. Otherwise it would be discredited. These
punkah-wallahs don't have to have a clue themselves. They only have to put
out feelers to find someone willing to defend the theory they continue to
teach, or else to publish that such a man does not exist. Note 1. 14apr00. More accurately, an earlier discovery predates the Catt Anomaly, and is a closer parallel to the effect of the diagonal on Pythagorean Theory. This is the realisation that a capacitor is a transmission line, and that classical theory treats the capacitor and the transmission line in ways that are incompatible. In the capacitor we must have displacement current, "a leap of genius" when Maxwell put it there (- The Electromagnetic Field …. By G. W. Carter, pub. Longmans 1954, p262) while in the two wire transmission line, supporting the TEM wave, we must not have displacement current, although the situation is identical. The information was rejected for publication by all learned journals in the world, and was finally published in Wireless World in dec78, in the article entitled "Displacement Current". This information has to be withheld from all students of electromagnetism, and ignored by lecturers and text book writers. Otherwise, the whole structure of classical electromagnetism collapses. - Ivor Catt, 14apr00 What is
Cambridge University for? I must say, I love dining at Trinity High Table. They live very well
indeed. Afterwards, upstairs, nightly, when the special Trinity Madeira, the
Port and the Claret go round and round, one feels well satisfied with life,
and electromagnetism seems far away on alien shore. (The protocol for
ordering a second flagon is a fascinating part of Trinity's ancient
traditions; well worth preserving and celebrating.) I am only allowed four
free visits a year, whereas the Punkah-Wallahs listed above can dine and
drink every night. (Trinity is the richest college in Britain, and recently
bailed out the University when it hit hard times. You need good trenchermen
who can hold their liquor to maintain Trinity's traditions and keep its
financial assets down to manageable proportions; less than the Queen's but
more than the Church of England's. Last year, at least one of the Fellows
failed, and drank himself to death.) What
are the Royal Society and the I.E.E. for? Again, the dinner at the I.E.E., when I was guest,
was finest cuisine. I sat opposite Professor Secker, which did not help his
digestion. We talked platitudes. After all, the poor man, designated e-m
expert by the I.E.E., had then already in writing on 26oct95 asserted his
incompetence. Ivor Catt. 24may99 |
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http://math.rainjane.com/irrational.html Hippasus, credited as the
discoverer of the irrationals, or perhaps another Pythagorean, threatened to
reveal the “great secret” to the world. According to Calkins, “His
associates, alarmed by this potential breach, conspired to throw him
overboard the ship they were sailing.” http://pratt.edu/~arch543p/readings/origin_of_geometry.html Perhaps his name was Hippasus of Metapontum. Perhaps the sect had sworn an oath to divulge nothing. Well, Hippasus of Metapontum spoke. Perhaps he was expelled. In any case, it seems certain that he died in a shipwreck. The anonymous scholiast continues: "The authors of this legend wanted to speak through allegory. Everything that is irrational and deprived of form must remain hidden, that is what they were trying to say. That if any soul wishes to penetrate this secret region and leave it open, then it will be engulfed in the sea of becoming, it will drown in its restless currents." |
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Robert Matthews, Sunday Telegraph, 12nov02, p37 Legend has it
that around 500BC the Greek mathematician Hippasus of Metapontum proved that
the length of the diagonal of a square with integer sides cannot be expressed
as a ratio of two whole numbers. In other words, he had found an entirely new
kind of number, the "irrationals", such as the square root of 2. ….
They drowned him on the Mediterranean …. …. …. The maxim of
Max Planck, the father of quantum physics: "Science advances - funeral
by funeral." We have to wait for
Huxley, Secker, Howie FRS, McEwan, Mink, Pepper FRS and a few more to die.
Then we might be able to begin to say that a capacitor is a transmission
line. However, won't we first have to wait for their students to die? Big clods have little clods Upon their backs to bite 'em. And these clods have lesser clods, And so ad infinitum. Ivor
Catt 10nov02 |