Better
version http://www.ivorcatt.com/2613.htm
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 |
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 @@@@@@@@@@@@@@@@@@@@ |