Mental Hardware

Frequency/Time

“It is interesting to note that there is something in our head that knows how to walk, while we are not consciously aware of it. It is sobering to recognize that there is something in our head that that understands chaotic theory in 13 dimensions, AND CAN MANIPULATE IT, real time.” – el Loco Gringo

“So far all the discussion of sound has centered on its description as fluctuations in air pressure over time. The representation of sound in the time domain is important to understand, but in some ways it is also awkward. For instance, the frequency of a sound is one of its most important physical properties, but determining frequency from a waveform requires making measurements of time intervals and then doing arithmetic. Indeed, for many complex waveforms, where multiple sinusoids of various frequencies are simultaneously present, it is often unclear where the intervals to be measured begin and end. The frequency domain provides an alternative description of sound in which the time axis is replaced by a frequency axis. In the frequency domain, sounds are represented in a frequency by amplitude and/or phase diagram. “ – ASEL

“It’s only complicated if you’re thinking backwards” – el Loco Gringo

Do not go wobbly on me here. Do not allow your mind to boggle. Uncle Walter will make it all better. It is the concept which is important not the math. Indeed the math is irrelevant.

Top down thinking assumes that the time domain is reality and the frequency domain is imaginary. As there is much more information to be gained in the frequency domain it is easier to convert the time domain to the frequency domain, get the answer, (in the frequency domain the answer “just is”) and then convert it back. However, this logic tree is fallacious.

Bottom up thinking shows that the frequency domain is reality and the time domain is imaginary. Indeed, a mathematician capable of thinking in the frequency domain (should such a person be possible) might well wonder why in the world would anyone be interested in so limited a concept as an imaginary “time”. (As I wonder why people are so dumb) The reason of course is that in the time domain information can be categorized. Looking at the header time>frequency>time the calculations cancel out and we are left with frequency IE Reality. In fact, the concept of math is, in and of itself, an artifact, a method of categorizing, quantifying, putting things in baskets.

In fact, EVERYTHING we perceive is only an interpretation of what we see. The shadows Plato was talking about.

Sometimes when we can’t make sense out of something we assume that we are dumb. We do not think of the possibility that perhaps there is no sense there. This should set off a flag, but it doesn’t.

NOW is the time to set the algorithm. The “goal” you were looking for in your logic tree. NOW is the time to use top down thinking. NOW you can start with “The frequency domain is reality” and work downwards to see what that implies. (And the implications are staggering) NOW you can put things in baskets. NOW you can quantify, sort, collate, dissect and mangle the data. NOW you can use the scientific method. (not just yet tho)

As profound as this is, the concept of the ANN is profounder.

“A world of beautiful, loving, compassionate people” – Jill Bolte Taylor

That is my gift to humanity – el Loco Gringo

Negentropy1 Negentropy2 Negentropy3 Dogma Time/Freq RideOnTheWildSide Vibroseis Visualizations TimeTranslator Spectrum Great Mysterious MRI’s

Subset

What we perceive of reality is a sub-set of forming patterns in the right mind in the frequency domain. The is interpreted in the left mind by a process equivalent to the Fourier transform in the time domain, (the output is quantified, a dimension is thrown away and time, color and sound are added) If this data is reintegrated what is left is less than reality by itself, since it is quantified it is less than what we originally perceived, and even less than reality. This re-integration is confused for reality in physics (and all observations). It is what I call the Aristotelean brain fart, a built in logic flaw in the brain, which leads to such silliness as parallel universes, quantum mechanics. In physics all physicists know that the universe is of a wave nature, but do not understand it, and continue to act as if the universe was of a particle nature. In addition, integral calculus IS bottom up thinking as applied to a cartesian model and differential calculus IS top down thinking as applied to a cartesian model. BUT the universe ain’t cartesian. Newton used god to balance the equations. Modern science, Eschewing god, uses quarks, parallel universes, multi dimensions to balance the equations. Ted Lumley posed the question “does the universe make electrons or do electrons make the universe?” setting aside for the moment that electron is an invalid concept for what is a wave (whorl, node, unfolding in the now?) sorry, there are no words for this. the answer is yes. so at one end of the Physics tunnel we are looking through end points are set by our inability to contain the entirety inside the skull. one endpoint is quantum mechanics, the other is parallel universes. my feeling is the two are just two different perspectives, results of the Aristotelean brain fart. I think i said this better in a comment which I posted. just a minute. Ah found it thanks for waiting. the topic of the thread was actually duality but the minds work the same way no matter what question is posed, that just depends on what tunnel you’re looking through, and what wetware you’ve been imprinted with.

http://ellocogringo.wordpress.com/2010/07/01/the-circle-jerk/

Please note I am not talking about physics per se, but how the mind distorts how we think about physics. I prefer to leave physics and math to those who are interested in such things. But whatever we look at the whole is less than the WHOLE. To complete the thought, no yoga devotee is confused by the two slot problem but is baffled by the scientific method, which he views as circular reasoning. IE start with the answer and differentiate it to reach the question. If you’re going to build a bridge calculus is perfectly acceptable. If you are trying to determine the nature of the universe it is inadequate. Vector math MAY give a better answer, dunno, I’m not a mathematician. but it will still not be WHOLE.

the brain is the instrument we use to observe the universe and what is happening inside the skull must be taken into account.

Coloring Book

Hi Mr Sid
Frequency is a squishy word used in this context. By that I mean it is a word being used to describe something to which it doesn’t apply. Like saying “blue is fuzzy” or “green tastes sweet”. Simply the universe doesn’t have a resonant frequency. It has a quality which the right mind perceives as vectors with a twist, which the left mind interprets as a tone (if in the audio range) which mathematicians have assigned an artificial time to so as to display on a piece of paper in an xy graph a sinusodial wave form. it ain’t real. it’s illusionary. That’s where einstein screwed up, for instance in e=mc^2 the c ain’t real.

keeping that in mind.

The perception of sound and light are culture specific. a color, take blue, I’ve got a sample of that. An oriental sees what a occidental sees as white, as a faint blue. What the oriental sees as white an occidental sees as dingy. That’s the “whitening agent” in soap. If you look at powdered soap, (in the us) you’ll see little blue beads scattered among the flakes. that’s blue dye. At first you may be inclined to think that there must be some kind of genetic anomaly in occidentals BUT, oddly enough, an oriental raised in the US shares the american perception of white. This leads me to conclude that if mom tells her child the diaper is white, the interpretation of the perception is, by god, white, even though an oriental would see it as dingy. (and a physicist would know it ain’t) Any physicist knows what white is.

words (in the critical stage) affect the way we think.

So, the resonant frequency of the universe would be different in the east and the west. Not too likely, I would think.

This is the edge perceptual problem. If the scale is zoomed out enough to see the earth is round, you can’t read the writing in a book. It’s why people thought the earth was flat for so long. What he is seeing is the resonant frequency of the left mind’s interpretation of the right mind’s perception of the universe. The perception’s probably right, the interpretation’s probably wrong.

Or…………I could be full of shit, I am crazy don’t you know
walt

Time/Frequency domain

We have two cognitive minds each with it’s own logical and perceptual processing, synchronous and modulated by intensity. (weighting)” – el Loco Gringo

“It is interesting to note that there is something in our head that knows how to walk, while we are not consciously aware of it. It is sobering to recognize that there is something in our head that that understands chaotic theory in 13 dimensions, AND CAN MANIPULATE IT, real time.” – el Loco Gringo

“So far all the discussion of sound has centered on its description as fluctuations in air pressure over time. The representation of sound in the time domain is important to understand, but in some ways it is also awkward. For instance, the frequency of a sound is one of its most important physical properties, but determining frequency from a waveform requires making measurements of time intervals and then doing arithmetic. Indeed, for many complex waveforms, where multiple sinusoids of various frequencies are simultaneously present, it is often unclear where the intervals to be measured begin and end. The frequency domain provides an alternative description of sound in which the time axis is replaced by a frequency axis. In the frequency domain, sounds are represented in a frequency by amplitude and/or phase diagram. “ – ASEL

“It’s only complicated if you’re thinking backwards” – el Loco Gringo

Do not go wobbly on me here. Do not allow your mind to boggle. Uncle Walter will make it all better. It is the concept which is important not the math. Indeed the math is irrelevant.

Top down thinking assumes that the time domain is reality and the frequency domain is imaginary. As there is much more information to be gained in the frequency domain it is easier to convert the time domain to the frequency domain, get the answer, (in the frequency domain the answer “just is”) and then convert it back. However, this logic tree is fallacious.

Bottom up thinking shows that the frequency domain is reality and the time domain is imaginary. Indeed, a mathematician capable of thinking in the frequency domain (should such a person be possible) might well wonder why in the world would anyone be interested in so limited a concept as an imaginary “time”. (As I wonder why people are so dumb) The reason of course is that in the time domain information can be categorized. Looking at the header time>frequency>time the calculations cancel out and we are left with frequency IE Reality. In fact, the concept of math is, in and of itself, an artifact, a method of categorizing, quantifying, putting things in baskets.

In fact, EVERYTHING we perceive is only an interpretation of what we see. The shadows Plato was talking about.

Sometimes when we can’t make sense out of something we assume that we are dumb. We do not think of the possibility that perhaps there is no sense there. This should set off a flag, but it doesn’t.

NOW is the time to set the algorithm. The “goal” you were looking for in your logic tree. NOW is the time to use top down thinking. NOW you can start with “The frequency domain is reality” and work downwards to see what that implies. (And the implications are staggering) NOW you can put things in baskets. NOW you can quantify, sort, collate, dissect and mangle the data. NOW you can use the scientific method. (not just yet tho)

As profound as this is, the concept of the ANN is profounder.

“A world of beautiful, loving, compassionate people” – Jill Bolte Taylor

That is my gift to humanity – el Loco Gringo

Time/Freq RideOnTheWildSide Vibroseis Visualizations TimeTranslator Spectrum Emergence Geophysics Nostalgia Great Mysterious

Lisi’s TOE

“In spite of having successfully used analysis (i.e. “taking things apart”) as a powerful tool for centuries, science is converging on the nondual. Cosmologists seek a first cause for the universe. Physicists look for the ultimate constituent of matter. Neurophysiologists attempt to correlate physiological observables with reported experiences of nonduality. Transpersonal psychologists investigate the effects of these experiences on human mental health. Deep ecologists explore the potential consequences of nondual understanding on long term global health. Mathematics practiced with love and devotion has been described as communion with the nondual Divine.” – SAND

Check this out, this is the pre-print for Lisi’s paper. I’ve read it and the logic and data seems valid, but it doesn’t “feel right” somehow. It does hold together and is not inconsistent. (that’s annoying) The flaw of course is his use of dimension (particularly 4th) The fact that it was largely ignored by mainstream physics adds further credibility in my mind. I’d say he was one step up from Plato. Notice he eschews calculus, as did Mr Milo and Mr Geoff.

also annoying was a person explaining evolution in hydraulic terms.

http://arxiv.org/abs/0711.0770?context=hep-th

“An Exceptionally Simple Theory of Everything is a preprint proposing a basis for a unified field theory, which attempts to describe all known fundamental interactions in physics, and to stand as a possible theory of everything. The preprint was posted to the physics arXiv by Antony Garrett Lisi in November 2007,[1] and was not submitted to a peer-reviewed scientific journal.[2] The title is a pun on the algebra used, the Lie algebra of the largest “simple,” “exceptional” Lie group, E8.

Lie groups

[show]Classical groups
[show]Simple Lie groups
[show]Other Lie groups
[show]Lie algebras
[show]Structure of semi-simple Lie groups
[show]Representation theory
[show]Lie groups in Physics
v • d • e
The theory “received accolades from a few physicists amid a flurry of media coverage,” but also “widespread skepticism.”[3] Scientific American reported in March 2008 that the theory was being “largely but not entirely ignored” by the mainstream physics community, with a few physicists picking up the work to develop it further.[4] In a critical paper[5] published in Communications in Mathematical Physics, Jacques Distler and Skip Garibaldi state that Lisi’s theory, and a large class of related models, cannot work.

As of May 2008 Lisi’s preprint was the most downloaded article in the arXiv.[6]” – wikipedia

http://en.wikipedia.org/wiki/An_Exceptionally_Simple_Theory_of_Everything

Vector Math

Back to converting mind If you have been following me so far, you will know that the euclidian system of geometry is a shadow only, an interpretation of the vectors which are the perceived input of the big hoochie koochie. As calculus is top down/bottom up thinking as applied to euclidian space, it is useless for determining the nature of the universe. A new math is needed on the order of the calculus, which applies top down/bottom up thinking to the wave nature of the universe. The following paper by Kirby Urner looks promising.  What he suggests is to skip the interpretation from frequency to time and the necessary conversion back to frequency, an perform math directly on the vectors, which in my model are the perception of the big hoochie koochie.  As with the current fiasco in mainstream physics, in which the idiots took precedence with their illusionary view of the physical universe a dispute arose between Clifford and mainstream mathematicians.  Clifford argued that “energy and matter are simply different types of curvature of space” Well, he’s mostly right.  Amazingly so considering he died in 1879.  Why must the idiots always prevail? Getting Inventive with Vectors by Kirby Urner First posted: Feb 15, 2000 Last modified: Oct 7, 2000 “The left brain stuff gets developed in tandem with computer programming (not just calculators), and the right brain stuff gets developed in tandem with computer graphics — driven behind the scenes by the computer programs. Left brain numeric methods result in right brain artistic renderings. We’ve got the bridge between math and art. All we need now is to phase in music (something computers are good for as well). That’s something I haven’t gone into much yet, but some of my colleagues are exploring in that direction.” Although the concept of vector connotes something “advanced” to many ears, we should realize that even the lowly number line, first introduced in the elementary grades, is an application of Grassmann algebra — at least according to some formalist conceptions.

This is because the real numbers, by themselves, have no spatial component. As soon as you allow yourself the freedoms of space, you must piggy-back your reals atop some system of directed elements — the so-called “vectors”.However, since René Descartes (1596-1650) and hisCartesian coordinates take center stage earlier than the vector algebra pioneers (stars like Clifford, Hamilton,Gibbs and Grassmann), and, going further back, number and length have a quasi-prehistoric “built-in” relationship, we do not normally presuppose any knowledge of “vectors” before taking the measure of a length.

What to do? Dunno

Found here> http://www.4dsolutions.net/ocn/numeracy1.html

More here> http://www.eng.buffalo.edu/~pgeorge3/241_2006.html

And here> http://www-groups.dcs.st-and.ac.uk/history/Mathematicians/Clifford.html

And here> http://www.valdostamuseum.org/hamsmith/clfpq.html

Nostalgia

ain’t what it used to be

“When you are courting a nice girl an hour seems like a second. When you sit on a red-hot cinder a second seems like an hour. That’s relativity” – Albert Einstein

Retro Physics

What I find interesting about this “new” toe is that it is recursive. IE in the sense that it is the same concept viewed from different perspectives. The Lisi theory is causing quite an uproar in the quantum physics field. Most criticism centers on math. BUT IT MUST BE REMEMBERED THAT THE MATH IS NOT THE PHYSICS. While this is way outside my field, it makes sense. If one sets aside the assumption made by Einstein that time is the 4th dimension, it all clicks into place. (Time may be an artifact of the mind used to make sense of motion) In any case, it can be tested. Lisi is at the least, not traveling the path most traveled. Don’t pass this up because you’re not interested in quantum physics. It speaks to the core of conceptualization. This is pertinent to understanding the mind. Check out the two links. The theory is identical. Plato called the unknown and unseen dimension “ethers” Lisi calls them Parallel universes. They are both right. This is the Theory Of Everything that Einstein was seeking. It explains the particle problem, the particle decay problem, the measurement problem and the two slot problem. “Most of the information here, from a technical aspect goes way over my head, however, I couldn’t help noticing an interesting geometric coincidence (maybe I am just attempting to create a connection where one does not exist). The two geometric representations on pages 19 and 20 are strikingly similar to that of “Metatron’s Cube” which is a figure containing all five platonic solids and has some religious connotation. From wiki “The simplest means of constructing Metatron’s Cube is to begin with a cube flattened along a space diagonal, such that it becomes a 2D figure, equivalent to a regular hexagon divided via its own diagonals into six equilateral triangles. The vertices of this 2D figure are then connected with additional lines. Several steps later, the full Metatron’s Cube figure is formed. This method requires dividing vertices according to the golden ratio. There is also a method of construction from the Flower of Life. The cube resembles the fourth dimensional analog of the cube, or the Tesseract.” Merkaba, also spelled Merkabah, is the divine light vehicle allegedly used by ascended masters to connect with and reach those in tune with the higher realms. “Mer” means Light. “Ka” means Spirit. “Ba” means Body. Mer-Ka-Ba means the spirit/body surrounded by counter-rotating fields of light, (wheels within wheels), spirals of energy as in DNA, which transports spirit/body from one dimension to another. The flower of life also shows the same relationships. and then there’s the Platonic Solids Kepler Plato’s dodecahedron Lisi’sdodecahedron Plato’sTOE PlatonicSolids4D 4DSphere Here is the Solid that Aristotle did not include in his regular solids. The missing dimension. Why? Because it was irrational. IE not subject to ratios. Aristotle changed the meaning of the word irrational to illogical, which remains to this day. (Aristotle was an idiot). In any case, Plato was mightily impressed by these five definite shapes that constitute the only perfectly symmetrical arrangements of a set of (non-planar) points in space, and late in life he expounded a complete “theory of everything” (in the treatise called Timaeus) based explicitly on these five solids. The fifth element, i.e., the quintessence, according to Plato was identified with the dodecahedron.

I consider the “Platonic solids” scenario to be a negentropic red herring with the concept of the sphere being one fading in and out of favor depending on the zeitgeist of the scientific thinkers. The concept is still popular among pseudo-thinkers. The mind, being a sub-set of the universe, is also negentropic. Because of this man continuously tries to make sense of the data perceived (Even if there is no sense there.) To the right is the solid Aristotle didn’t get, the sphere, it was irrational. (no straight lines) The platonic solids are an interesting data set and various thinkers have tried to make sense of them in a variety of contexts. (after all, that’s what the mind do, “a mind’s gotta do what a mind’s gotta do.”). I have not seen any relevant data that shows any relationship between the platonic solids and the universe (except for a relationship to each other). As much as I hate to quote Freud (I consider him an idiot) I do agree with him on two points.

• “maybe a cigar is just a cigar” IE maybe the image of a cigar in a dream is not a phallic symbol, but just a desire to smoke. Maybe the platonic solids are just what they appear, an interesting data set, with no relationship to anything besides each other.
• The second point, (which I mention only because I can now relegate him into the dust bin), is his observation that all women have a “penis envy”. (It is, after all, such a beautiful thing)

http://en.wikipedia.org/wiki/Flower_of_Life http://www.youtube.com/watch?v=m7mIf5363e4&NR=1&feature=fvwp Education has crushed creativity. Robert Anton explains this very well in the below video. He speaks of tunneling and how the oriental and the occidental view life through tunnels which restrict our field of view. Our opinions say more about how the mind works than the world. It is worth pondering what he has to say about not only quantum physics but our view of the world. Robert Anton – Tunneling

Vibroseis

The Fourier transform

I’m going to learn you something about why and how the Fourier transform is used. The geophysical industry is involved, paradoxically, in mapping the physics of geology. IE layers in the crust of the earth. Do not try to understand this, just know it. Keep in mind that this is what they THINK they are doing only.

Time/Freq <—–This is the input in the frequency domain (perception, right mind) This is almost real.

This is the interpretation of the frequency domain. (Time domain, sound, left mind) This is kinda real

These pictures show a land crew setup. In both cases a sound source (thumper on land) tagged with a one, transmits a sound into the earth. This sound travels into the earth and the reflections are picked up by the geophones (microphones) tagged with a 2. Although these GIF’s are over simplified we are going to make it simpler. Just keep in mind there are millions of data points PER SHOT. The amount of data is staggering. (one data point every 4 milliseconds) It would be virtually impossible to calculate this in the time domain. We’ll break it down in to one thump and one data point. Ideally the signal received by the geophones would look like this;

BUT this would assume an amorphous earth, which means no oil, which means no cars, which means horse and buggy time. But the substrata is layered and the original sine wave is distorted when it passes through a strata. This distortion is what they’re looking for, by using the Fourier transform; They can transform it into the frequency domain and back. Actually the integral from infinity to infinity is still impossible, in practice they’ll knock it back to about -8 to +8. As you can see you’ll still be knee deep in shit quickly with a calculator. But here come the “raster box” the MCX (MiCro Xformer), ATP (Array Transform Processor) or any of dozens of hardware configurations capable of transforming a whole array at once. (Oh, I didn’t mention that slight detail, not very important but worth mentioning if you’re going to use a calculator. (you might miss dinner))

<——This is the quantification of the interpretation of the perception (Wave Form, Computer).

It ain’t real!!!  It’s a friggin piece of paper that describes reality.  It’s a rubber ruler.  It’s not even in your head, it’s in the friggin computer.

We’re dealing with signal to noise ratios of 1 to 10,000 IE one part signal to 10,000 parts noise. Click on the image to the left and notice the big wave at the top.  That’s called the ground wave, the sound transmitted directly to the geophones.  That’s not what we’re interested in.  We’re interested in the little squiggles further down.  (After all we already know what’s on top of the ground).  Not to mention the refractions. These signals are flectorizing all over the place. Oh yeah, they’re interactive so you have to do a whole array at once. IE keep them and their interactions in your head at one time) Do not try to remember this, I am just trying to impress you with the enormity of the problem. But the raster box makes it all better. You just feed in the data and the answer pops out. Also I would like to impress upon you the importance of the Fourier transform. Without it an industrial society could not exist.

But ALL of these problems go away in the frequency domain. The top graph shows a triangle wave in the time domain. (cyan) This is in fact a sine wave distorted by additional frequencies. It would be impossible to figure out these distorting frequencies in the time domain.

However if we convert the above graph into the frequency domain the signals pop out. (actually it’s only a quasi frequency domain graph, to be accurate you’d need to use polar coordinates) Note that the data points are one octave apart. Also that the horizontal axis is vector not time. The data points that are not zero are what we refer to as the musical scale. Do, re, mi, fa, so, la, ti, do. To interpret this think of the first data point as when the vector arrow is perpendicular. At this point the second vector is at the indicated position IE one octave down. If we rotated the disk so that the second vector was maximum the first vector would be one octave down. This would seem to indicate that we evolved to interpret sound as a triangle wave. But that’s another paper. That program I put on the stick translates from the time domain and back real time and interactively. Play with it and watch how the mind interprets sound in the time and frequency domain.

Fourier Geophysics

Visualizations

Graphics, Java, Videos

Wrap your head around this Mr Geoff

Think of the frequency domain as right mind

and the time domain as left mind

The left mind interprets the perception of the right mind and throws away a dimension.

The freq axis is reality, the time axis is artificial.

Time/Freq

file:///C:/Documents%20and%20Settings/Walt/Desktop/2010-03-19_0743.swf

://www.divshare.com/direct/10818121-fcf.swf

Download SWF file here:

http://www.divshare.com/download/10818121-fcf

View of the relationship between the frequency domain and the time domain.

SinePolar

Another view of the freq/time domain relationships

SineWaveGen

In this visualization the freq domain is shown in 2 dimension.  Turn sound, log and mag on.  Notice the discordance in any but the sine and triangle wave.  Notice on the triangle wave the do, re, mi fa, so, la, ti, do as the number of elements goes from one to whatever.  There’s your beat of 8 dude, or your eightfold way of the universe, or the miracle of music or whatever you want to call it.  Everyone thinks the top graph is reality, in fact it’s an interpretation of the second graph.

Fourier

Filters

The unANN use 1 source, borders, quite accurate representation of a 3 dimensional process in 2 dimensions.  Input from the ANN at the top which “puffs?” it.  I even shows how memories, concepts, input is assimilated and absorbed into the chaotic matrix.

To visualise stupid, start ripple, check 3d, rotate till the input faces you, This is stupid, check borders, this is smart.  Stupid has no individuation.

Ripple 2 slot

This is how it works synthetication of motion

Celllular Automata

Here’s a double arm-load of visuals> Java Apps

Prospecting StanfordFourier SSG SEG

Vibroseis

The Fourier transform

I’m going to learn you something about why and how the Fourier transform is used. The geophysical industry is involved, paradoxically, in mapping the physics of geology. IE layers in the crust of the earth. Do not try to understand this, just know it. Keep in mind that this is what they THINK they are doing only.

Time/Freq <—–This is the input in the frequency domain (perception, right mind) This is almost real.

This is the interpretation of the frequency domain. (Time domain, sound, left mind) This is kinda real

These pictures show a land crew setup. In both cases a sound source (thumper on land) tagged with a one, transmits a sound into the earth. This sound travels into the earth and the reflections are picked up by the geophones (microphones) tagged with a 2. Although these GIF’s are over simplified we are going to make it simpler. Just keep in mind there are millions of data points PER SHOT. The amount of data is staggering. (one data point every 4 milliseconds) It would be virtually impossible to calculate this in the time domain. We’ll break it down in to one thump and one data point. Ideally the signal received by the geophones would look like this;

BUT this would assume an amorphous earth, which means no oil, which means no cars, which means horse and buggy time. But the substrata is layered and the original sine wave is distorted when it passes through a strata. This distortion is what they’re looking for, by using the Fourier transform;

They can transform it into the frequency domain and back. Actually the integral from infinity to infinity is still impossible, in practice they’ll knock it back to about -8 to +8. As you can see you’ll still be knee deep in shit quickly with a calculator. But here come the “raster box” the MCX (MiCro Xformer), ATP (Array Transform Processor) or any of dozens of hardware configurations capable of transforming a whole array at once. (Oh, I didn’t mention that slight detail, not very important but worth mentioning if you’re going to use a calculator. (you might miss dinner))

<——This is the quantification of the interpretation of the perception (Wave Form, Computer). Click to enlarge

It ain’t real!!!  It’s a friggin piece of paper that describes reality.  It’s a rubber ruler.  It’s not even in your head, it’s in the friggin computer.

We’re dealing with signal to noise ratios of 1 to 10,000 IE one part signal to 10,000 parts noise. Click on the image to the left and notice the big wave at the top.  That’s called the ground wave, the sound transmitted directly to the geophones.  That’s not what we’re interested in.  We’re interested in the little squiggles further down.  (After all we already know what’s on top of the ground).  Not to mention the refractions. These signals are flectorizing all over the place. Oh yeah, they’re interactive so you have to do a whole array at once. IE keep them and their interactions in your head at one time) Do not try to remember this, I am just trying to impress you with the enormity of the problem. But the raster box makes it all better. You just feed in the data and the answer pops out. Also I would like to impress upon you the importance of the Fourier transform. Without it an industrial society could not exist.

But ALL of these problems go away in the frequency domain. The top graph shows a triangle wave in the time domain. (cyan) This is in fact a sine wave distorted by additional frequencies. It would be impossible to figure out these distorting frequencies in the time domain.

However if we convert the above graph into the frequency domain the signals pop out. (actually it’s only a quasi frequency domain graph, to be accurate you’d need to use polar coordinates) Note that the data points are one octave apart. Also that the horizontal axis is vector not time. The data points that are not zero are what we refer to as the musical scale. Do, re, mi, fa, so, la, ti, do. To interpret this think of the first data point as when the vector arrow is perpendicular. At this point the second vector is at the indicated position IE one octave down. If we rotated the disk so that the second vector was maximum the first vector would be one octave down. This would seem to indicate that we evolved to interpret sound as a triangle wave. But that’s another paper. That program I put on the stick translates from the time domain and back real time and interactively. Play with it and watch how the mind interprets sound in the time and frequency domain.

Fourier Geophysics