History and Idea of Mirroring Projectivity
To understand the main idea of neural network dynamics, it seems helpfull, to remember the story of the birdth of interference circuits. In the end of september 1992 first fog banks come nightly. When I remember well, one night in thick fog many people had been killed against an coach-ride accident. A technical idea to avoid such things is, to create a special, parallel impulse-Radar for cars. Calculations of echo-answers show, that with the old principle of single receiver and sender it is not able to realize such things. Instead of a rotary antenna different fixed, parallel antennas are to use. To create the image, the idea can be, to shift the incomming antenna data streams in opposite directions over a detector field. As simple the idea is, as complex appears the realization. Recherches show, that it is not easy to calculate such systems. We have no tool, to solve the equations in acceptable times. So I read books about optics and wave interference  as books about radar systems [2,3] to try to understand partially the physics and mathematics of pulspropagating interference systems. This was the point of entry to create PSI-Tools; trying to verify interference systems with different, parallel channels.
Fig.1: Sketch of an interferencial system for Radar-images, 29.9.1992. (PhC: Phase Comparator, Axx: Antenna frontal v, above o, down u, back h, left l, right r)
After some calculations it seemed, that one result of interference images is predictable: The only selectable location of interference is the point of equal delays on all possible signal ways. Only in the point of interference it is possible, to receive an excitement for example with AND-gates. As more circuits I verified, as more two impression were fixed:
- It is possible, to turn the wires, or to change the circuit geometry. If we find a location of interference, the detecting image lays mirrored to the source space.
- If we compose a graph of interference locations, we find, that the graph of the detector space is mirrored to the graph of the generator space: Image and source are topomorphic.
As far as I can remember, years before, while recherching books I had found a paper about mirrored, topographic scemes in the human brain, Penfields so called 'Homunculus'. It appears as a pure coincidence, that the virtual mirrored Radar images should reproduce this fact. All the time it seems, that nothing in nature is without any reason. Even as the virtual Radar-images, the homunculus appeares mirrored. Even as Radar-images biological maps are topographic. And even as (virtual, pulsed) Radar-images, the nature uses pulses in a definitive relation to the transmitting speeds. Also the properties between pulse-length and pulse-speed and circuit geometries are comparable.
Fig.2: One-dimensional interference circuit. An excitement at the side G generates an mirrored interference position at the other side M (circuit created in october 1992). Note the main differences to electric circuits: wires L have different tasks. Wires in interference schemes are supposed to be without attenuation, but they have a transmission speed. They are not nodes, constructed to carry currents or to drive loads. Comparable to nerves they symbolize the directed flow of time-functions from and to different points with definitive speeds or delays.
We are able to inspect interference phaenomena in simulation since august 1994. For the future, we plan compound projects with partners in different fields. Our main interest are bio-neural informatics: theory shows, that researches in this field need multi-channel data streams and interference theory in general. In this field, interferences are not to avoid to get knowledge about neural communication.
In the field of industrial usability it is possible to simulate new ultrasonic devices with very better imaging possibilities for purposes of medical and material imaging.
For free field applications in air the interference assistent is useable for loudness-localizations in the fields: motor inspection/machinery-inspection; loudness landcard generation etc.. Electrical field applications are possible to develope Radar imaging systems. Last not least for geological and astronomical research our improved interference theories appear usefull to develope better antenna arragements to improve measurement possibilities for noisy, small and far signals.
- Alonso M., Finn, E.J.: Physics. Addison-Wesley Pub. Company 1970 ff.
- Baur, Erwin; Einführung in die Radartechnik. B.G. Teubner, Stuttgart, 1985
- Skolnik, M. I.; Introduction to Radar Systems. McGraw- Hill Book Company Inc., 1962
Dies war der -te Zugriff seit dem 10.9.1996
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file created 08:04 26.01.1996; last revised: 08:05 26.01.1996