Life in Mathverse
Riposte Ivor Catt. 18june02 Scandals in Electromagnetic Theory http://www.ivorcatt.com/28scan.htm I Catt, 1june02; Big tells us that in his mathematical universe, called “Mathverse”, E and H are 90 degrees out of phase. He says they have to be, because the change of E causes H and the change of H causes E. In Mathverse, everything that happens is caused by one elegant equation or another. A Thought experiment in Mathverse. In Mathverse,
a TEM Wave proceeds at the speed of light as follows. It has to be
sinusoidal, since the sine wave prompts the maximum amount of elegant
mathematical thought and discourse. Elegant thought and discourse make up the
deepest reality in Mathverse. It is awesome to contemplate a universe wholly composed
of mathematics. Let us consider a TEM wave travelling from the direction of the north pole via Mathverse’s Greenwich (named after our Greenwich, in our world) towards the south pole. At midnight Greenwich Mean Time (00.00 GMT) at Greenwich, the E field is at zero and increasing at its maximum rate. Immediately behind, towards the north, is the highest value of E. (This is the value that will reach Greenwich shortly after 00.00.) Returning to Greenwich at 00.00, we find that H is at its maximum. This is because an increasing E causes H. Soon after 00.00, the maximum positive value of E comes from just to the north and reaches Greenwich, then proceeding towards the south. So
far, so good. A little bit
after 00.00 GMT at Greenwich, because H has just peaked, H is falling at
Greenwich, causing a negative value
for E at Greenwich. But after
00.00 GMT, we have already said that immediately
after 00.00, E reaches its maximum, not its minimum. It follows that,
in Mathverse, E causes H, but H cannot cause E. Heaviside said that mathematics was an experimental science. With the
help of Big, I have discovered two new fields, each discovery being worth a
Nobel Prize. I am very willing to give the cash value of one of the two to
Big, and retain only one. After all, he helped. The
discovery is of two further fields, G and F. In
Mathverse, the truth is that increasing E causes H, as has always been
thought by competent mathematicians. Because of causality, they are 90
degrees out of phase. Increasing H causes a further, previously unknown
field, the G field, which is 90 degrees behind H. The increasing G field, in
its turn, causes the F field, 90 degrees behind the G field. Finally, the
increasing F field causes the already known E field. These four
fields are beautifully, elegantly spaced out, equidistant, at 90 degree
intervals. As that celebrated Cambridge mathematician Jeans said in his book
“The Mysterious Universe”, “…. The
universe appears to have been designed by a pure mathematician.” As a very
young boy, I had the great good fortune to meet my mentor, that great
Cambridge mathematician Sir James Jeans, on his deathbed. (“Whether good mathematicians, when they
die, go to Cambridge, I do not know.” – Heaviside.) When I asked him about the above quote, “…. The universe appears to have been designed by a pure
mathematician,” he
whispered to me that he was of course referring to Mathverse, not to our
universe. They were his last, memorable words. His dying hint, coupled with
the promptings of Big, bid fair to gain me two Nobel Prizes, not one. They
should be called the G Prize and the F Prize, in that order. Truly, I stand
on the shoulders of giants. Let us put
the above mathematically. We will discuss the value of E, F, G, H at
Greenwich at and after 00.00 GMT. Since at 00.00
GMT at Greenwich, the E field is at zero and rising, E = sin wt. Field H is
proportional to the rate of change of E, so H = k1 dE/dt =k1 cos wt. Field G is
proportional to the rate of change of H, so G = k2 dH/dt = k2 (- sinwt). Field F is
proportional to the rate of change of G, so F = k3
dG/dt = k3 (- coswt). Finally, we
get back to E, which is
proportional to the rate of change of F, so that E =
k4 dF/dt = k4 sinwt. Note how
beautifully the four fields work out. Also note that k4 = 1 . (Actually w4). Here is yet
another example of the way in which pure mathematics leads us to ever more
discovery of nature of the physical world in Mathverse. - Ivor Catt, 1june02
@@@@@@@@@@@@@@@@@@@@@@@@@@@@ If the differential of sin were cos and also the
differential of cos were sin, the mathematical high jinks imposed on
electromagnetic theory would be a trifle less ludicrous. However, the fact
that the differential of cos is –sin, not just plain sin, means that hifalutin
mathematicians have been behaving in a gross manner for more than a century.
The Emperor that is mathematics has no clothes. Mathematicians appear to be
grossly incompetent when they impose mathematics onto physical reality. Ivor
Catt 25nov02 http://www.ivorcatt.com/em_test04.htm |
Copied from Big’s website at http://www.play-hookey.com/optics/transverse_electromagnetic_wave.html on 1june02 The basic transverse electromagnetic wave, as shown to the left,
involves both a varying electric field and a varying magnetic field,
appearing at right angles to each other and to the direction of travel of the
wave. This figure represents a single photon traveling through space (and
time). Note especially that the electric and magnetic fields are not in phase with each other, but are rather 90° out of phase. Most books portray these two components of the total wave as being in phase with each other, but I find myself disagreeing with that interpretation, based on three fundamental laws of physics: .… …. ************************************************* Because the differential of sin is cos and the differential
of cos is minus sin, half-witted mathematicians have invaded the physics of
the TEM wave and imposed a spurious story that E causes H causes E. Since
sin, cos and -sin are 90 degrees out of phase, part of their phoney baggage
is to imply that E and H are 90 degrees out of phase. (See my article in
Wireless World in March 1980.) Because the sin wave is amenable to
mathematical high jinks, another part of their baggage is to imply that a TEM
wave is sinusoidal. It's time we cleaned the claptrap out of electromagnetic
theory. Ivor Catt, Wireless World, feb84. ************************************************* Copied from Big’s website
at http://www.play-hookey.com/optics/tem_argument.html on 1june02 From me [Mr.
Big]: Thus far
I've seen none. It's time
to put up or shut up, Ivor. - Bigelow Copied from Big’s website
at http://www.play-hookey.com/optics/tem_argument.html
on 1june02 From me [Mr. Big]: |
http://www.ivorcatt.com/em_test04.htm *********************************************** On Ivor Catt's ideas; Electronics
World (London) (was Wireless World), aug2002, pp46-49 "…. In the Dec. 1978 issue
of Wireless World, p51,.... Catt, ....Davidson and .... Walton produced the
most original and brilliant theoretical calculation since Maxwell’s day ….
...." My 1994 book Electromagnetism 1 is at http://www.ivorcatt.com/em.htm @@@@@@@@@@@@@@@@@@@@ |