The Narrow Band Filter
Ivor Catt 11July 2007.
The seven year long failure of the GEC/Marconi research team in Portsmouth to solve the problem that the Tigerfish torpedo would explode at any unexpected moment can be linked to the statement of Howie, later Head of the famous Cavendish Lab., that "Physical reality is composed of sine waves."
Modern torpedos travel at some depth below the ship attacked. When under the target, they explode, lifting the ship above, and breaking its back. For clarification, let us pretend that the sinusoidal magnetic field outputted by the front end of this long Tigerfish torpedo was at 2 KiloHertz (2kHz). This meant that its front end outputted positive and negative magnetic energy in alternate periods of one quarter millisecond. After this had bounced off the "target" (enemy ship), this energy was received back at the back end of this very long torpedo by a circuit designed to add together the positive energy received in each odd period of one quarter msec and the inverse of the negative energy received during each even period of one quarter msec. The circuit is still wrongly called a "narrow band filter" , not by its correct name, "a resonator". During the seven years, mystified, they had narrowed the filter bandwidth (making is higher gain for any input, and so worse).
I put a very narrow pulse into this “filter”. It outputted a 2kHz sine wave! That is, far from blocking everything other than 2kHz, it turned any input whatever into 2kHz. Realising that analog circuits could not do the job, I sampled eight times per cycle and added them into a shift register. I gradually degraded the values in the shift register. The 2kHz sine wave gradually grew out of the noise. However, after struggling with the problem for seven years, they could not admit to the MOD that it had been solved so simply.
Now we bring in the assertion of the Knowledge Commisar Howie; "Physical reality is composed of sine waves". This lie is assiduously taught by the Mathematical Mafia who have captured (the rapidly declining number of) Physics faculties throughout Britain.
Consider your young daughter on a swing. Hold her high, and let go. Let us assume you find that the swing oscillates every 2 seconds. Next day, you yourself push her gently and briefly every 2 seconds, and her mother stands opposite pushing her briefly every alternate 2 seconds. The swing will oscillate violently. However, should you and your wife push your daughter alternately at any different frequency, the swing will hardly move. That, coupled with the implied assertion that a swing is always pushed periodically at some frequency, is the reason why a resonator is called a "narrow band filter". Because of Howie, I discovered that a resonator, designed to oscillate at 2kHz, was always called a filter. On the assumption that an input was always sinusoidal, it was assumed that only the correct sinusoidal input would cause the circuit to oscillate.
The flaw in this orthodoxy is demonstrated if you push your daughter twice as hard occasionally, and fail to push on the next occasion. The violence of oscillation of the swing will be much the same, but your input is no longer fully periodic as is intellectually imposed by our Knowledge Commissars. Taking it further, we find that so long as you only push your daughter every second second, you can vary the amount by as much as you like, but with the same amount of pushing, with the same result. Thus, pushes of random amplitude every second second will cause the swing to oscillate violently.
Thus, statistically, a random input to the torpedo sensor to such a "filter" will occasionally cause it to oscillate violently, and signal that the enemy ship is overhead, and now is the time to explode.
Questioning perceptual blindness
The story actually traces back to Captain Cook and his landing in Australia in April 1770. In other first encounters, the locals sailed or paddled out to meet Cook’s ship.5 At Sandwich Sound in Alaska, they came in canoes, showing open hands as a sign of friendship. Off New Zealand, canoes full of Maoris were more aggressive: “They brandish their spears, hack the air with their patoo patoos and shake their darts as if they meant every moment to begin the attack.” 6 But when Cook arrived off Australia, his ship drew no reaction. According to the historian Robert Hughes: “It was the largest artefact ever seen on the East Coast of Australia, an object so huge, complex and unfamiliar as to defy the natives’ understanding.” This is clearly the origin of the tale of invisible ships. It was only when the Europeans landed in canoes that the natives took action: “The sight of men in small boats was comprehensible to them: it meant invasion.” 7
Looking more closely at the accounts left by Captain Cook and the botanist Joseph Banks who travelled with him, we can see how this came about. They make it clear that the aborigines could see the ship: “We soon saw about 10 people, who on our approach left the fire and retird to a little emminence where they could conveniently see the ship.” 8 But their fishermen ignored it: “The ship passd within a quarter of a mile of them and yet they scarce lifted their eyes from their employment; I was almost inclind to think that attentive to their business and deafned by the noise of the surf they neither saw nor heard her go past them.” 9
Villagers also saw, but ignored: “Soon after this an old woman followd by three children came out of the wood… She often lookd at the ship but expressd neither surprize nor concern.” Aborigines began to prepare dinner “to all appearance totaly unmovd at us, tho we were within a little more than a mile of them”. The Europeans were determined to make contact. “We set out from the ship intending to land at the place where we saw these people… as soon as we aproachd the rocks two of the men came down upon them, each armd with a lance… in all appearance resolvd to dispute our landing to the utmost tho they were but two and we 30 or 40 at least.”
This is a repeated pattern, with the aborigines ignoring the Europeans offshore but reacting when they become a potential threat by attempting to land. Each time they either flee or meet the explorers with spears and threats, and are frequently met with musket fire in return. A few days later, Banks is still baffled by the indifference: “Not one was once observd to stop and look towards the ship; they pursued their way in all appearance intirely unmovd by the neighbourhood of so remarkable an object as a ship must necessarily be to people who have never seen one.” 10
This reveals what is going on. Used to being the star attraction wherever they go, the Europeans fail to realise that some people may have other priorities. When you are living on a thin edge of survival, anything not an immediate threat or a source of food is of little interest. Their actions show that the aborigines invariably assumed the visitors were hostile, so it is understandable why they did not go out to greet them. Clearly the aborigines did not think that this outsize canoe was quite so ‘remarkable’ as Banks himself did, 11 though they were always ready to react when a landing was threatened. But as wheelchair users and D-list celebrities could tell him, just because people ignore you it doesn’t mean you really have vanished.
Mathematical hobgoblins have other priorities, more important for them than progress in science, or even the survival of what we have. They put their careers and reputations first, both of which are based on sophisticated mathematical hi-wire acts. Their chief priority is to trumpet the supremacy of mathematics over physical reality. Perhaps their chief showpiece in their mathematical showbiz is the sine wave and all the mathematical clutter that it can create. This is why it important for them to be unable to see a simple pulse or step, and dismiss them as merely a messy amalgam of Fourier Series sine waves. - Ivor Catt, 14 July 2007.