X-Message-Number: 21710
From: 
Date: Sun, 4 May 2003 13:45:55 EDT
Subject: Flea repport: Entanglement.

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I have said before that, looking at how the Schrodinger equation has been 
built, there must be four quantification, each with its own tensor degenerate 
(infinite rank) space. Such spaces are characterized by an entanglement mode. 
Only one space has no creation-destruction operator and so correspond to the 
first quantification. So much for the theoretical frame.

The first quantification entanglement system is built from two flat mirrors 
in a wedge assembly: >.  The quantum waves enter on the left, from here I 
assume they are photons with well defined and nearly identical energies. The 
entry mirror distance is equal or larger than the reduced wavelength: 
Lambda/2pi. The exit at right is a narrow slit with a width giving the 
reduced wavelength of the entangled wave. Assume we use for example an 
optical wave with wavelength equal to half a micrometer (yellow-green light) 
the entry could be .1 micrometer wide but as well one millimeter if we have 
some beam diameter constrain. Such a light has an energy per photon near 3 
electron-volt.

If the exit slit is half a nanometer, the entangled wave will have a global 
energy near 1,000 eV equivalent to a single photon in the soft x-ray domain. 
Making such high precision flat mirrors is not a simple task, so I have 
turned to liquid mirrors pioneered at the Laval University in Quebec. The 
idea is to use mercury in a rotating bowl for the underside mirror and total 
internal reflection in a dense transparent medium as the upper one.

The problem with such mirrors are the ripples created by vibrations in the 
rotating system. The classical solution is to use a costly air cushion with 
fast electronics control of side displacements. These systems are seen are 
strategics because they are used to reduce sound production in nuclear 
submarines. Only university labs and military establishments can buy them. 
Export is forbidden. My solution (until I can turn the law and buy such 
things on the black weapons and strategic market :-) is to damp sounds with 
very different density materials.

I have used an old vinyl disk player with the uncommon 16rpm speed, giving a 
liquid surface with parabolic focal length near 2.5 m. My liquid container 
was a circular glass plate 33" in diameter with a plastic border. The sound 
damping system was made from a sandwich using a tick (1/2") steel plate, 
three sorbotane supports, a second identical plate, and 3 more sorbotane 
plots under the glass. The sorbotane is a plastic-like material with nearly 
no shear wave transmission and very low sound speed. It couple very badly 
with steel for vibration transmission.

The rotating container was tested with water, no ripple was seen at low speed 
with an electronics motor variator. At full speed (16 rpm) some ripples was 
seen, they seem to come from air speed on the water surface, they would not 
be present with a dense liquid. The smooth observed surface allows to 
conclude that there  was no deformation larger than half  the wavelength or 
.25 micrometer. I have a foucault tested and a large Couder's screen to test 
deformations down to 25 nanometers, but had not the time to make the test. 
There was another problem: Centering the container. More time will solve that 
problem in the next test.

If all is OK, I'll then test the system with mercury and methylene iodine so 
that it produce its first entangled light. With a surface tension reducer, I 
hope the reach the x-ray energy range and so be able to pump a nuclear x-ray 
laser, such a xaser is a basic component of a quantum nondemolition brain 
scanner able to see down to small molecules in a short time.

A big, cheap liquid mirror is too an essential element of the photon 
intensity interferometer. A simpler but slower potential brain scanner in the 
phonon version.

The main point here is that cheap, individual, garage level experiments, on 
advanced physics concepts used in a brain reader, can be tested. Who want to 
put some pictures on a web site? :-)

Yvan Bozzonetti.

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