In the early 1980’s the idea of chaos permeated the veil that separates science and magic. A few talented individuals started pulling threads in the veil and the rational and irrational began to co-exist. This utilization of science in the occult has perhaps lost its way, quantum mechanics is brandished as a sword by countless charlatans and the esoteric paths appear to be have been deflected once more towards art. This apparent void between science and art must be rectified if the esoteric will is to be unified with modern thought. This is not a trivial aim but something which has, in the past, produced beautiful results. I am trying to create simple artistic expressions based on the scientific ideas I utilise on a daily basis. The long-term project ‘auto-mechanical fixation’ will be punctuated by interpretations of scientific theory .

The history of chaos is well documented, however, the role of Jaques Salomon Hadamard is rarely given the attention it deserves. His mathematical prowess enabled chaos to be aligned with quantum theory. [1] In the early 80’s the art of the irrational became scientific, as quantum mechanics is truly counter-intuitive. Thus the irrational, the unimaginable became a game of numbers, logical. It was, however, not Hadamard’s influence on chaos that attracted me so much to his work, but the simplistic beauty of the transform which takes his name. Below you can see and hear a matrix constructed for the purpose of transforming data.

**Hadamard in D-minor**

**Hadamard in monochrome**

eleven by eleven

p.s. Watch the sky tonight, the oldest science will show her beauty in the perseids.

[1] http://prl.aps.org/abstract/PRL/v61/i5/p483_1

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Interesting post. I am keen to know more about the image eleven by eleven. How does that work? How specifically does it transform data? and how does it relate to the sound?

The best way I can think of to explain how the Hadamard transform works is the following analogy:

If you want to know the mass of three objects you can weigh them separately, however due to noise on the scales the accuracy of the recorded mass can be poor. If each object is identical you may weigh them together and divide the recorded mass by three. This gives you an average value which is closer to the true mass than the individual measurements.

The best way to get the MOST accurate value is to do the following.

Weigh items 1 and 3 together.

Weigh items 1 and 2 together.

Weigh items 2 and 3 together.

You then do some linear algebra (matrix calculations) and the result is an accurate value of the mass of each object. As you are not taking an average it also works for 3 items of different mass.

The pattern of which items to weigh together was worked out by Hadamard and for 3 objects is as follows.

Object 1 Object 2 Object 3

Measurement 1: 1 0 1

Measurement 2: 1 1 0

Measurement 3: 0 1 1

Where a 1 says that the object should be on the scales, and 0 says it is not on the scales.

The image eleven by eleven is the weighing scheme for 11 objects where black represents a 0 and white represents a 1.

The song is a D minor 11th chord with each note of the chord used in a single row. As there are only 7 notes, the first 4 notes are repeated.

http://imageshack.us/photo/my-images/12/hadamardexample.png/

The above should link you to a graphical representation of the song, i mocked it up in garage band but I plan to record myself playing it on my cello.

Thank you for the questions, I hope the answer makes sense.