Monday, August 7, 2017

WD Gann's Map of Time and Robert Gordon's 7 days...and Stonehenge

In the last paragraphs of the Foreword to "The Tunnel Thru the Air, " WD Gann declares the endpoint of knowing the nature of man's greatest enemy and mystery will have been achieved when you understand "Robert Gordon's 7 days."  I'll not source my calculations nor provide a background that is abundantly documented in this website.  The numbers are as indelibly in my mind as they are developed and documented in this website.  Re developing would provide comfort only to those without the dedication or desire to do the work themselves.

There are exactly 15341 lines in TTTTA when they are enumerated according to normal typeset conventions.  WD Gann left markers (the telestic encoded words "Phi" and "007") in TTTTA which, when numbered correctly, proves Mr. Gann intended the length of the book to be 15341 lines long and intended for someone to discover and prove it to themselves.

Robert Gordon traveled 33590 miles in 7 days as the crow flies, which, when broken down between east west miles and north south miles (think of the 33590 as a hypothenuse of a spherical right triangle) was 18259 miles east/west and 18495 north/south.  Obviously, east/west is the circumference of the earth at the latitude of New York given that Robert left and returned to New York in 7 days.  But substantially the same number of north/south miles on his trip?  This latter metric was contrived by Mr. Gann.

Now, the first startling observation; the lines of TTTTA divided into the circumference of earth is Phi. I likely observed and documented this before.  The circumference of the earth is 24901 miles east/west (slightly different polar).

24901 / 15341 = 1.6232

That observation relates the time and distance inherent in the geophysics of earth's measurements to TTTTA.

The second observation; Robert Gordon's 7 days trip is the root of Phythagoras' right triangle.

18259 / 15341 = 1.1902 and 1.1902 ^ 2 = 1.4166

There's something very special about the number 15341....hmm, I understood that long ago in this journey of mine.  But it came to me as I laid awake this morning.

Robert Gordon did not destroy the Great Pyramid(s) because there seemed to be a divine purpose in them.  As I recall reading, researchers have attempted to relate the Great Pyramid to Stonehenge and other curious ancient monuments.  I haven't an opinion on how compelling the work might be.

Well, I knew off the top of my head, the circumference of the earth at the latitude of the Great Pyramid was not close to the number 15341.  That's what came to me this morning.  It was Stonehenge.

Do the math.  Its the Haversine formula if memory serves.  At the latitude of 51.1789* North, the circumference of the earth is:

15582 miles

That differs from the lines in TTTTA by 1.6%.  Phi.  Why am I not surprised.

Importance?  WD Gann's "Map of Time" created by TTTTA's enumerated and chronologically dated structure are mathematically related to Robert Gordon's 7 days.  

And the full realization of Robert Gordon's 7 days:


In my present opinion, the nature and structure of Robert Gordon's 7 days is the key to understanding how WD Gann's "Map of Time" works.  I think I know how to relate the two structures.

It gets better.  Always wondering if Mr. Gann anticipated (foresaw) discovery of his encoded works, I looked up today's date, August 7, 2017 in the "Map of Time."  And this is the acrostic telestic word I found:


He spelled:

Heed

An enquiring mind would be compelled to read the paragraph that followed the acrostic/telestic word "Heed."  I have read it.  The nature of the prediction, if you accept it as remotely credible, is very frightening to some.  Very comforting to others.

Jim Ross

Thursday, April 6, 2017

Current Market: The first and second squares of 12 and mated cubes

This essay is a bit of a rehash of the immediately preceding essay but with a little more perspective on the second, third and fourth dimensions' possible interrelation.  Takes me a while to deal with the 'aha's' with which I am presented and, even then, I'm hardly at peace with my supposed understanding.

The second dimension square has four sides any way you look at it.  The third dimension cube is comprised of 6 square faces having 12 independent, unique edges.  You dissemble the cube into 6 second dimension squares each having 4 edges then you have 6X4=24 edges.
Given a 1X1X1 cube, the perimeter of the cube (12 sides) will be 12 and the perimeter of the 6 dissembled squares will be 24.  A law of two and three dimensional Platonic cubic structure.

12 unique edges of the assembled 1X1X1 cube divided into 24 less so independent edges of the dissembled cube gives us the metric of 2.  And, as previously discussed, the growth spiral of the square of Pythagoras' hypotenuse of the 1X1 square is 1, 1.4142, 2, 2.8284.....  2 is a very very important geometric metric.  And Phi, well, as expert market analysts we all know the Phi growth spiral (or as attorneys say "know or should have know").

What does the third dimension cube look like in the fourth dimension?  We would want to see the metric 2 involved, wouldn't we?  "As above, so below?"  Let's take the question to the laboratory and examine data that has been accumulated on our lab rat name DJIA.  We need data.  Here are the ugly mated (sharing a common face) cubes of the period 2000-present:


In previous essay, Price Time Vector (PTV) values have been computed and presented.  Both the approximate values in the chart above and the detailed mathematic values previously computed are based on the assumed points K and L.  Points K and L were derived from the application of the "camera obscura" concept in a previous essay and from a yet to be described "coincidence."  The above software calculations are approximate as they require visual fitting to points.  The exact data has been computed and can be found HERE.

Will we find 2 when we assemble and dissemble each of the 2 cubes above?

Rearrange the previously computed PTVs to form the perimeters and average sides of each of the mated cubes, both for 12 unique sides of each cube and 24 sides of six squares of each cube:


Duh, it works.  It had to work and I'm sure a mathematic notation and logic person could provide a proof in abstract logic.  Me, I have to plod through numbers.  Simply, 21319 / 10659 = 2 and 17595 / 8647 = 2.  

Now that we have the numbers for such a seemingly inconsequential proof, let's see if there is something else.  Let's check the relation of the perimeters:


.28%, a coincidence?  What say ye, Randomites?

***

The '2' had to emerge from each cubes relation between of 12 unique sides of the cube to 24 redundant sides of the cube's component 6 squares.  Had to happen; baring my computational errors.  The laws of the second and third dimensions had to be respected in the fourth dimension.

Comparing the mated cubes; was there any two dimensional or three dimensional rule that required the relation of the perimeters of the mated cubes to be the quotient of 2 and Phi?  No, I don't think so.  Nature, at work in the DJIA, made it so.  A "natural law" it would seem.  Books have been written about how WD Gann used the phrase "natural law" as a code.  If we knew more about the fourth dimension, would we have said "it had to happen?"

Does this suggest the hint of a law of fourth dimension systems of mathematic growth?  I think so.  Is it the same relation for every fourth dimensional system (markets, people, natural events...) or could there be other relations including the growth spirals of 5 or 3, etc?  Of the effect of personal vibration (promoted by both WD Gann and his nom de plume, Luo Clement) on one's destiny?  As well, I believe so.  Like the consistency of math throughout its progression between the second, third and fourth dimension, it is intuitive (to me at least) that natural law will be consistent as between all natural phenomena; markets, physical geologic, atmospheric events, sociologic events... all the way down to personal destiny.  But that's conflating 

At a minimum, the experiment strongly suggests mathematic structure of spacetime.  Not randomness.  Exquisite mathematic structure; "geometric points of force."  For every effect there is a cause.  Everything is circular and responsive; for every action there is a reaction.  Every point in the market is related to a previous point in the market.  For every act in our lives, there is a response.

This experiment also suggests some level of integrity of the proposed and here above assumed values of points K and L.  I do not believe K and L are exact, but increasingly, they seem to pretty close given the derivative appearance of these metrics.  It will be interesting to see how DJIA plays out later this month.

Oh, there's so much more cooking in the DJIA laboratory.

Jim Ross   

Sunday, April 2, 2017

Current Market: The twin cubes, 2 and Phi, this morning's "Aha"

When looking at the Price Time Vector (PTV) values of the twin cubes of the 2000-present market I have been examining, many classic key numbers jump out...as I've mentioned.  "Aha's" that pull me back into chasm of "Why?"  Here's a simple 'aha.'

We all know the Fibonacci growth spiral that gives us Phi and most serious market students accept that it is a fabric of markets.  But what about 2?  We know WD Gann taught his students the heuristic of doubling and halving of time or price.  He ascribed the importance of the 45* angle to its dividing time and price into equal parts.  At the basest of levels of biology, the cell divides into equal parts.  Back maybe a 2000 years a riddle of the ancients' was how to propagate the 1X1 square forward to create a square of twice the area of the first.

The ancients riddle of the growth spiral of 2.  It  is 1, 1.4142, 2, 2.8284, 4, 5.6568, 32....  Its the side of the square beginning with the 1X1 square having a side of one, followed by the grown square having a side length of the hypotenuse of the 1X1 (which is 1.4142, e.g. root 2), followed by the grown square having a side length of 2 (which is the hypotenuse of the 1.4142X1.4142 square e.g. sqrt(1.4141^2 + 1.4142^2).....

Two growth spirals from two well known numbers; 2, and Phi.  Already knowing what I want to find for you because I had the "aha" moment this morning, take the two spirals and concoct a number we want to find in the twin cubes.
Now we need some raw data of the twin cubes.  Remember the latest iteration of the "ugly" twin cubes of the DJIA from 2000 to present twisting through spacetime:


The PTV values on the above are approximate because one must visually fit the end points to tops and bottoms.  Here are the perfect calculations the software makes according to the application of Pythagoras' theorem of the hypotenuse of the 1X1 square to time and to space (the PTV):


Now let's arrange certain of the vector values to comprise each of the two cubes.  Hint, a cube has 12 unique edges or PTVs.  [I underscore the word unique as a segue to a future 'aha' and essay.]


Perhaps one cube of spacetime PTVs ruled by 2 and the successive one by Phi?  And their conjoin representing a hint of the structure of spacetime?

.26% difference.  Coincidence?   Remember, its all extrapolated based on two assumed future points, K and L.  If I change point K from April 20, 2017 to April 20, 2019, the percentage difference becomes 5.04%.  Get the drift?  If the calculations were based on finer data (time to the minute - or four minutes to satisfy Mr. Gann's claim it being the smallest cycle - as opposed to the hour), might we find a more perfected set of dates and prices that would make the percentage difference even smaller.  Simulation, optimization.  A process of getting closer and closer to a perfect solution but never getting there.  Hmmm, like Pi.

***

Imagine you find yourself instantly comprised at an age of say, 5, without and previous history, in the middle of a vast corn maze.  You haven't a past to remember so as to compare your predicament to past happy or sad events, you haven't any frame of reference.  No sense of sadness or happiness.  Just 7 foot high corn stalks all around you and turning paths between them.  There's nutritious berries and vegetables (and, of course, corn) on every path.  All the base needs of which you are aware are met.  But, each day at the same time as the previous day, when you look up at the sun, you know you're about where you've been before.  You haven't made progress to where ever it is you intended to go.

You dream of what is beyond the maze as you wander its paths for years and decades of your life.  At the corner of every turn where there are alternate paths, you notice signs with different color configurations that, over the years of seeing them and thinking about them, you decide they have some meaning in the scheme of the structure of the maze.   

Then, one day, you get the idea that you'll follow one series of the several sets of signs at each junction.  You'll concentrate on finding that same sign at the next junction and if is not there, then you'll back track to the previous junction and take the alternate path.  On that alternate path you find the sign that you had decided to follow.  You find the sign you for which are looking as if they were put there for you to find.  By who?

Ultimately, you reach a dead end.  

But its not a failure, you've eliminated a path.  Now, with the time you have left in your life (however long that is), is there time to follow all the sequences of signs to get where you think you want to go?

And really, is it all so important that you get there?  Or is the challenge more the end in itself?  Thinking and knowing the small but not inconsequential part of the whole that you might represent if you simply go about doing what you feel you were intended to do.

Sadly, I doubt I'll ever see the structure of the maze as I believe Mr. Gann saw it.  But, like the golfer whose terrible round is ended with a birdie that brings him back for another round, I have the "aha's."

Jim Ross

Saturday, April 1, 2017

Current Market: The cube, DJIA and WD Gann's beans

Why would WD Gann, who I've read, had his own seat on the NYSE, spend so much time with beans?  I'm sure there are many rationales that one might posit, but I have a new one...or I say 'new' but know its only new to me.

Before I spill my beans, I'll boil down about a half dozen essays I've written on my laboratory experiments for the last week, but haven't published, to a couple generalized supposed insights I think I have.  First, there will be a new high in DJIA and my present projection is April 20, 2017 at 22073.  From there, DJIA should drop to just over 16000 in the December 2017 timeframe.

Yes, I know I made that projection a couple weeks ago and then changed it to May 2, 2017 at above 22000.  But I've made some mathematic discoveries since then that I find compelling.  You know when the first time you discovered the market reacting to Phi...it was shazaam!  Those mathematic wonderments have been happening to me nearly daily.  I don't understand the structure of the math as yet and as always, but my wonderment at first seeing Phi presents itself is now excitement to an exponential degree.  And it happens every day as I experiment with the math of these charts and every night as I try to make sense of it in half sleep.

My latest elaboration of the cubes formed in DJIA are not the pretty little boxes that you might see in Bradley Cowan's "Four Dimensional Stock Market Cycles and Structures" "Charts" V B.  Two nicely angularly envisioned cubes.  I've drawn an early offering of the two adjacent "pretty" cubes of the current market that are similar to Mr. Cowan's depiction of the circa 1929 markets:


The cubes aren't that way.  The math proves it.  I suspect Mr. Cowan knows and left it to the reader to figure out 'the rest of the story.'  But I don't know what he knows; maybe he does maybe he doesn't.  And but again, the math says it is not as depicted above.  Above is a nice suggestion but hardly the reality.

The math says the true four-dimensional twin cubes depiction in two dimensions is ugly.  Sometimes there might be only one not conjoined with another but I don't know that either.  I do know there are two gosh awful ugly cubes from the DJIA 2000 to the present (nearing point K) and until the end of the entire structure in the fall of 2017 (point L):


The thing I got right about the above is that they were twin cubes conjoined at the common square face EFGH (the blue square).  The thing I got wrong was we needed to identify that common square between the cubes.  Why?  By segmenting the twin cubes a mathematic comparison of their growth can be made.  And the comparison of their perimeters and diagonals will give us vast opportunities to find mathematically logical places to find root 2, root 3, Phi....  There will be many places to reprise that simple "Aha, I found Phi" moment.

Every point on the above chart is mathematically determinable except points K and L.  Points A, B, C, D, I and J have happened in time and space.  Point E has and never will happen in time and space but it is known; it is simply the perfect midpoint in time and price between the known points A and I.  The midpoint is very easy to compute; take the dates of points A and I and half the number of days between.   Same for price.  Points F, G and H have never happened in time or space but are easily determinable IF points K and L are known.  For the moment, let's assume K and L are known, and, given that, points F, G and H are as easily determinable as point E.

Now it gets tricky.  There are two points, K and L, in time and space that are not known but when they are known, they will complete the perfect mathematic structure of two cubes.  How do I find those two points?  Its tough.  The two points are, themselves, functions of four unknowns; the price at point K and the price at point L and the date at each of those two points.  Simultaneous linear equations.  Hmm, we're dealing with exponents and roots in Pythagoras' equation...simultaneous non linear equations?  Not good for a finite mathematician.

This is where we either guess and try to optimize the structure of the twin cubes with successive guesses (simulation) or we solve it analytically via simultaneous equations, four dimensional Cartesian transformations or other methods I haven't mastered or even have hear of.  So what's an educated guess?

Point K and the "camera obscura".  One might derive future point K using John Dee's "camera obscura."  Consider the simple camera of 150 years ago receiving light through an aperture with it being imaged on a film...upside down and reversed left to right.  Now consider square with known points ABCD is "imaged" through the perfect infinitesimally small center of square EFGH to square IJKL.  Can we propose that mathematically? Can we recognize values in an already complete "square" ABCD that are near to our heart?  Here's how I'd propose to image the magnitudes of the vectors of IJKL:


It would seem I want to "obscure" a very simple math operation of extrapolation the magnitudes (PTV values) of known ABCD to three unknown magnitudes of IJKL.  The math is simple but the reason hardly; its the camera obscura.  That there future "wants" to repeat the past in the fourth dimension but it does it not with perfection but with increasing perfection and it does not do it with the order that occurs in the third dimension.  First, you see ABCD is close to the geometric ideals of 2 (the square of the hypotenuse of the 1X1 cube), close to Phi and close to root Phi.  I don't believe it is coincidence.  And second, the "camera obscura" reflection of ABCD onto IJKL will again be close to geometric ideals but not quite there.  

How many times did WD Gann cite "nothing new under the sun," "history repeats," and variants.  How many times and in how many ways did WD Gann tell us, beginning with the all important Ticker Interview, the initial impulse resolves itself into periodic rhythm?  

We have an initial impulse in PTV AB which imperfectly reflects itself onto AC, BD and CD according to known geometric key numbers.  We have that PTV AB imperfectly halving itself to become PTV IJ.  And then we have that new initial impulse IJ, in concept at least, replicating itself to JL, KL and IK via those same geometric keys.

So how did that work out for me?  Pretty well.  Remember, every vector and square in the twin cubes is mathematically determinable as long as we know the presently unknown future top K and future bottom L.  Since I think I know them, I plugged them into my deterministic model of vectors that comprise the twin cubes (that whole structure seen in the most recent chart above) and the bold italics values are what is created.  Compare the three bold italic numbers to the red numbers which are the ideal extrapolation of the initial impulse, IJ.  They are darn close.

But how did I get points K and L?  Again, we know the PTV IJ, we think we know the values of the other three sides of IJKL, but four sides do not make a structure.  Three sides do make a determined and firm structure in the triangle, but four side values do not make a firm structure at all; you need a diagonal.  And to get a diagonal, you've got to know either point K or L.  I'll leave how I found point K for the next essay.

***

Why beans Mr. Gann?  While I tout the stock market as Mr. Gann's laboratory for study of spacetime, it was not the ideal subject.  Back then, the early 1900s, stocks could be manipulated by powerful men.  Arguably, even the then young Dow Jones Industrials could be manipulated.  And its structure as the Dow 30 was ever changing.  And even now, DJIA is rebalanced.  Its an index and not a natural set of data created by natural interaction.

Beans, cotton, wheat....essentials to life, markets that are everywhere in the world and this time, arguably, bigger than the ability of any single person to manipulate their value.  How'd it work out for Bunky Hunt and bro when they tried to corner the much narrower and less essential to life silver market in the early '70s.  Not so good when the oil billionaire was reduced to taking a bankruptcy's court fee to help sell his stockpile of art; then owned by the bankruptcy court trustee.

Beans and the DJIA...and here I am using the DJIA as my lab.  Well, the DJIA and equity markets are how I got to this dance and there's a lot of conveniently accessed history for DJIA.  Beans not so much.  

There are three problems with projecting point K as April 20, 2017.  First, the history of DJIA is manipulated, at least, by rebalancing if not by large speculator efforts.  Second, given that points K and L remain unknown, we have an infirm square.  The two points are the result of four variables; two dates and two prices.  Its a very complex integration or iteration to perfection or set of equations that would give us those dates.  

And most important, the subject of the experiment, the DJIA, is not a natural phenomenon.  Its an imperfect reflection of 30 natural markets.  I believe it will lead me to the right model of the market's space time.  But its imperfection must be recognized.  

As recounted in "The Ticker Interview," WD Gann did not say, for example, GM would touch some price on exactly a certain day or all this theories would be disproven.  But he did with wheat.  For those who do not know the story:


Maybe there's a fourth problem; perhaps my emerging theories of spacetime (as if they are "mine" while I know others sense the correct formulations that I'm struggling to find) are wrong.  That's my odd's on favorite.  Still, I think I'm down the right path.

Wow, closing at 20663 yesterday, DJIA would have to go 6.8% in 15 trading days to reach 22073.

Jim Ross

Saturday, March 18, 2017

Current Market: Mathematic perfection

You've seen my struggle with finding the elusive "point E;" the top of the market since the 2000 top.  I believe it is determinable but I cannot discern the laws of math that make it so.

If point E is determinable, then there must be math.  It doesn't start with proving point E.  We already have completed two dimensional formations that can be evaluated mathematically to see if they follow the mathematic laws of the 1X1 square and the two adjacent 1X1 squares.  We have those formations in the current market; square ABCD and twin squares forming the rectangle ABGH:


ABCD doesn't look like a square and ABGH doesn't look like a rectangle comprised of two such squares.  That's because the proposition is the structures are four dimensional solids being viewed on a two dimensional chart.  Or, that's how the story goes.  Supposedly, the math will tell us the truth where our vision is unable to sort out the truth.

A very limited objective of this essay; is ABCD a square and is ABGH a rectangle comprise of twin adjacent squares.  If the diagonals of ABCD is not root 2 (1.4142) of the side and/or if the diagonals of ABGH is not root 5 (2.2361) of the side, then further inquiry is, likely, unwarranted.

The above insert is drawn using software that computes the Pythagorean Price Time Vector ("PTV") value as described in previous essays.  Its calculations are dependent on how closely a visual fit of the vectors can be made.  We need more accurate measurements.  Following are the measurements:


The black bolded solid lines are "real vectors"  On either end, they have points of price and time that have occurred.  The grey lines have at least one end point that has not occurred in price and time; they are imagined and not a subject of this essay.  

Seeming hit or miss mathematic relationships.  Analysts tout their great insights by pointing out, "aha, PTV CD divided by PTV AB is within two one hundredths of the root of Phi."  Or "AC divided by AB is within two one-hundredths of the number 2 and WD Gann had a thing about doubling and halving time or price."  That does it, a couple isolated observations and we all think its magic...and we buy that book or course.  Not that they aren't mathematically related, but they hardly create mathematic structure.  On the other hand, I believe each of the ten PTVs are related to every one of the other ten.  Its just that we have to go very deep into the several steps that comprise the relationships.  I've done a lot of that and found several three deep relationships.  Three deep where say three mathematic metrics such as root 3, root 5, Phi are required to explain the difference between two PTVs.  Pass on that for now.  Just realize you may see PTVs that are apparently related by a known math metric.

Root 2 and the square ABCD.  I've overviewed this before with PTV values that were created by the charting software as opposed to rigorously determined PTV values.  The above table removes any doubt:

The diagonals of the 1X1 square are 1.4142 (root 2) times a side of 1.  That's law.  If you add the four PTVs that comprise the ABCD square take their average side value and divided it by the average diagonal the result is 1.407536 or .47% less than ideal root 2.  

If you divide the sum of the four side of ABCD by the sum of its diagonals the result is .47% greater than ideal root 2.

And the two calculations averaged are within .001% of of ideal root 2.   

I've asked before, can that be coincidence?  But it doesn't end there.  There is a second real configuration that we can evaluate; the double square.

Root 5, root 3 and the twin adjacent cubes.  The "law" is that the diagonal of adjacent 1X1 squares sharing a common side will have diagonals that are root 5 times the square of one side.  As the contemporary thought goes, "but its complicated."  


We can do this lots of ways.  Above we find the ave side of 1448.72 divided by the ave diagonal/root 5 is 1.315420.  Or we can divide the average side by the ave diagonal to yield .5882739 and multiply by root 5 to again arrive at 1.315420.

But 1.315420 is not the root what we expected.  We'd already buried the root 5.  We should have gotten the number 1, not 1.315420.

No, that's where it is complicated.  We have the fourth root of 3.  Recall the primer essay on geometric solids; 3 is the center diagonal of the three dimensional 1X1X1 cube.  Square 1.315420 and square it again and you have the number 3.  If you leave the calculation at root 3, you find that it is within .001% of ideal root 3.

Is that coincidence?

Morphing two dimensions into an allusion of three dimensions.  With all this in mind, take another look at the market chart.  We have a two-dimensional square near to and facing but it does not "look" like a square.  Nevertheless, the math demonstrates the hallmark mathematic property of the square; its root 2 diagonals.  Not just close...but to 5 decimals.

Now look at how the visibly appearing further away, twisting and receding rectangle ABGH morphs from vertical side AB to vertical side GH that now appears far away from us.  Over that distance, both the two dimensional metric root 5 and the three dimensional root 3 have interceded to create the vector GH; a vastly diminished reflection of its opposing edge AB.

 Evolving mathematic metrics.  Its very unsatisfying that vector AC divided by AB is 2.02132.  We want it to be a perfect 2.00000 to demonstrate the doubling and halving of time, the innermost working of the root 2 growth spiral.  But it isn't.  Probably every one of the vector relations is imperfect even to the point we doubt they are what they are.

But when we aggregate them and look for the expected value, the metric we seek becomes more accurate.  To wit, the ave side of ABCD divided by the ave diagonal, we get close to ideal root 2.  Then, if we reverse the process with the gross sides divided by the gross diagonals, we get another measurement that's close to root 2 but in the opposite direction.  Still further, when we average the two measurements, we are off from root 2 by less than 4 significant digits.  

Yet one step further.  The 4 significant digit error in the root 2 measurement of the ABCD square seems to be offsetting to the 4 significant digit error of the twin adjacent squares of ABGH.

Which leads to the question previously posed...as the formation matures, do measurements increasingly approach their ideal expectations?  As if a larger vibration, set in motion, overshoots its mark but by decreasing margins until, ultimately, it is perfected.  

***

The only two geometric images of the three dimensional twin adjacent cubes are conclusively supported by the level of exact mathematic structure that, by law, we expect to manifest.  Its not exactly as we expect because the individual PTVs are wishy washy.  But their averages are not.  And we have the unexpected intrusion of the three-dimensional root 3 into the mix.

But what do you expect.  We are trying to explain a four dimensional phenomenon, namely price/time, using a two-dimensional chart.  

We do not know the structure of four dimensional price/time, or at least, I don't.  We can't see it or feel it or smell it.  We can only imagine it.  But that's what we have.  We have the clues to imagine it.

Socrates' allegory of the cave and the prisoners having never been in the light see images on the wall; two-dimensional images.  One prisoner leaves the cave to discover the images seemingly having only length and width have depth as well.

Painfully, C Howard Hinton in "The Fourth Dimension" (1906) develops how a being am to sense only the planar existence (length and width) can notice anomalies in his environment that leads him to conclude the existence and certain properties of the fourth dimension.  Bradley Cowan relates a similar scenario in which a planar being is confronted with a vertical wheel of five colors.  Of course, he can't see the tall wheel that is before him; all he can see is a color.  As the wheel turns he sees the colors flash in sequence before him.  After many turns of the wheel he realizes the sequence of colors repeats.  He has a clue.  He can't see the wheel but he knows the structure of sequence that presents itself time and again.  Exact time durations and exact sequence.  Its a clue.

So, its settled, at least in my mind.  The first and only two complete geometric structures in the price/time chart of DJIA from 2000 to 2017 articulate the most important properties of planar geometry to a precision that's impossible to claim as coincidence.  And they introduce the third dimension as well.  But most telling is their measurement is according to a yardstick comprised of both time and price according Pythagoras' 345 triangle and the Price Time Vector.

Now, back to evaluating point E.  Once point E and F are projected, the entirety of the cube will be known.  Perhaps point E has occurred or is yet in the imminent future.  Point F certainly lies ahead.

Jim Ross


Friday, March 17, 2017

Current Market: Indication of the loose thread

The previous essay indicated the math according the first formulation of twin cubes did not seem to work out as expected and that both cloned ellipses and an alternate formulation of the twin cubes suggests a final new all-time high in DJIA on about April 27, 2017 at above DJIA 22000.  The latter suggestion of a new all-time-high was based on a visual fitting of the 2000-09 square ABCD and has been updated by a more, but not entirely, mathematic triangulation of point E (the suggested final all-time-high) at DJIA 22300 on May 2, 2017.  Again, this revised calculation is a better "biangulation" of point E but remains not entirely mathematic in its derivation.  Here's the revised chart:


What early tip-offs did I have that March 1 was not the final top for the 2000-17 cube?  First and as previously noted, I should have recognized, by my own chart, the cloned cubes B and C axes did not form a perfect, overlapping straight line with their enveloping ellipse A:


Second, I should have noticed from my own chart of the period 2009-present, not previously shown, has some imperfect math:


Sectioning PTV's CE and DE according to the intersection of the 2007 price high and actual price results in components of those vectors that appear to be edging closer and closer to ideal root 3 and root 2:


But they have not reached root 3 and 2 ideals...yet.  Recall the mathematic significance of root 3, the center diagonal of the 1X1X1 cube (3 dimensions) and root 2, the diagonal of the 1X1 square (2 dimensions).  By establishing a new higher high in the not distant future, the subdivisions of CE and DE will inch closer to the Platonic ideals.

Isn't this intuitively attractive according to WD Gann commentaries on how we expect "vibration" to reach its mathematic extreme before some new shock or impulse or predetermined mathematic extreme reverses the market?

I should have known earlier, that a marginally new high is needed to perfect the math.  It was the loose thread at that moment that I did not follow.  Now, is the point E I seek, the newly identified point E at DJIA 22300 on May 2, 2017?   That's my best "biangulation" at the moment.

Still working on the math.  I expect a still finer point E projection and math that will support (or refute) the model of the market structure shown in the chart at the very top of the page.

And then the question will become, what is the correct point F...the next pivot bottom counterpart of point E top?

Jim Ross



Thursday, March 16, 2017

Current Market: The math didn't work

As I'd asserted, the validity of the below market formulation of four market points (points A, B, C, D) in price/time supporting a fifth future point (point E) depends upon their mathematic and geometric interdependence.  The five points, forming vectors between each set of points, must demonstrate the mathematics of adjacent 1X1 cubes adjusted for growth.


If the mathematics worked out for every so formed vector of the many, then point E would be indicated as the final high of the 17 years since the DJIA January 2000 high.

After hours, days of working the math, many of the relationships among the many vectors formed by the four points and one prospective points do not work or work in a way that is contrary to the laws of the adjacent 1X1 cubes.  My conclusion is that point E or the DJIA March 1, 2017 high, is not the final high in DJIA.  Were I a bit more diligent I would have noted the closeness of the adjacent cloned ellipses featured in one of the first posts in the "Current Market" series:


I'd noticed it before.  The inscribed ellipses B and C axes (bold purple lines) do not adjoin to form a perfectly straight line.  The axis of the enclosing ellipse A (bold dashed lines) is be the adjoining of the inscribed eclipses axes.  A detail or loose thread.  I should have known.

The three ellipses' axes present configuration suggest to me another marginal high that will result in the inscribed, perfectly equal ellipses forming a perfectly straight line overlapping the axis of the axis of the greater ellipse A.  Think about it.  Point E moves up very slightly to yet a new all-time-high, large ellipse rotates up to point E and inscribed ellipse C rotates up to point E.  All three ellipses now have overlapping central axes that overlap and extend the axis of ellipse B.

That's visual and visual is perception and perception is subjective.  As a finite mathematician I rail against perception and subjectivity.  Failing with my mathematics, I'm using a subjective tool to prove myself wrong.  No, the math didn't prove my rendition of the cubes as correct.

When first I posted the twin cubes, a commenter, perhaps innocently or perhaps with greater insight that I then had, asked the question, "Where is the back side of the second cube formed?"  And I believe, in retrospect, he is right.  Here is the re-imagined formation of the adjacent cubes:


Concentrate on the bold black (real) and bod grey (imagined) lines that outline two cubes sharing a center side that twist from their side nearest us (square side ABCD) and rear side furthest from us (square side EFGH).  

I have tentative math that suggests point E, the higher high, will occur April 27 at just over DJIA 22,000.  The math is a visual fitting of the above vectors and the "camera obscura" projection of square ABCD and its component triangles to imagined square EFGH and its component triangles.

["Camera obscura" is a favored optical/geometric concept of the 17th century mathematician, scientist, physicist, alchemist, philosopher of the court of Queen Elizabeth I, John Dee.  Dee is a name that appears 45 times in the acrostic and telestic encoding of WD Gann's "The Tunnel Thru the Air," 44 times as the word "Dee" and once, perfectly between the first and second 22 occurrences as "007."  The James Bond of the 17th century was, indeed, John Dee and "007" was John Dee's signature to Queen Elizabeth I in their secret and coded correspondence.  See HERE.  John Dee's relation to "camera obscure" is well documented in Jim Egan's ebook on the geometry of the Monas Hieroglyphic found HERE.] 

The image of the twisted cubes can be modeled in mathematics.  If its a valid formulation, then the many vectors formed by real points ABCD and imagined point E will demonstrate the metrics of the two-Platonic 1X1 cubes augmented by growth.  And if it is a valid mathematic formulation, the triangulation of point E based on points G and H and the projected "camera obscura" image of square ABCD to square EFGH will give us a perfected price and time projection of exactly where the market will top.  

If I know myself, I'll first mathematically project point E.  Only after having the exciting answer as to whether and exactly where (price and time) the market tops, I'll test the many vectors to see if the math supports the above formulation.  This is otherwise known as "cart before the horse."

If it doesn't work, I'll continue to work.  If it does, I'll continue to work.

Jim Ross

Monday, March 13, 2017

Current Market: I hate it when "there is a loose thread in the world."

To put the subtitle of this essay in context, its from Mark Gattis' and the BBC's rendition of "Sherlock Holmes; The Six Thatchers," season 4 episode 1.  Further context, Sherlock, Dr. John Watson and Inspector Lestrade are visiting with the parents whose son was tragically lost when Sherlock rudely leaves the couple to stare at an inexplicable detail of the room; an apparent (to Sherlock) table dedicated to Margaret Thatcher with a gap in between pictures and an irregularity in dust patterns.  From the transcript that can be viewed in its entirety HERE:


[FYI, "By the pricking of my thumbs, Something wicked this way comes" is from "Macbeth" and linked to HERE.]

From the table, Sherlock deduces a bust of Margaret Thatcher had been positioned there but had been removed, most likely broken....but not broken next to the table because there was a thick area rug.  A loose thread, where had the bust been broken?  Why steal a bust not having substantial apparent value in a house (semi mansion) having, no doubt, many valuable and marketable items?

As the trio are leaving the home Sherlock stops on the porch to examine something he'd seen on the porch when they first arrived and this exchange occurs:


Noteworthy, Intuition; data processed too fast for the conscious mind to comprehend.  Loose threads, details without identified connections to the puzzle and solution that must exist.  Arthur Conan Doyle was a spiritualist and his Sherlock did not miss details even if their connections were not apparent.  Mark Gatiss' Sherlock is equally attendant to inexplicable details and ever more so the believer that something deeper than the mind is at work in each of us.

Details.  First, the market cube chart for convenience:


Now the 10 PTVs and values in tabular form:


Pythagoras' root 2.  The first "structural aha" was discussed in the previous essay; if ABCD were a square in perspective then I'd suspect it would relate to its diagonals....and it did.  In the table above the average side length is 948 and extended by root 2 becomes 1334 (within 6).  Perhaps the diagonals of any four-sided structure will demonstrate such a relation; at least, any two-dimensional, space measurement only structure.  But this is a price/time measurement structure.  Regardless, the math worked exactly as I expected.

Vindication of Leonardo de Pisa' Phi.  An early iteration of Fibonacci series is 3 and then 5 giving us an early and easily recognized iteration of Phi at 3 / 5 = .60 or its inverse of 1.666.  Look at the diagonals (of square ABCD and the two squares) and note how they subdivide:
The earliest iteration of Phi in the chart which occurs chronologically before the later versions emerge is a crude approximation.  It is the relation of the diagonals of square ABCD at 1.6790 or its reciprocal .5956.  I thought this was an "aha" moment but it just didn't seem close enough.

And then I applied the Phi subdivision to the combined values of the two diagonals of the cube and found them to be much close to a Fibonacci 5 / 3 arrangement; 1.6662 and its reciprocal .6002.  Within  mere 10 thousandths of perfection.

What might be gleaned?  Obviously Phi is at work.  But more comforting, just as the Fibonacci series iterates closer and closer to theoretic Phi, so perhaps the market's early iterations of the mathematic goal to which it strives becomes more refined as the structure is formed.

More details.  Phi, root 2 and 2, Pi, root 3 and 3.... all over the place.  Here are just a few:


The square ABCD and Root 2 revisited.  Recall the early "aha" in discovering the sum of the four sides of ABCD divided by the sum of its two diagonals provided 1.  To be honest, I was a bit disappointed that average diagonals divided by average sides was 1.4068 compared to ideal root 2, that being 1.4142.  But there may yet be a happy ending.  Let's look at that same averaging number but let's also look at the reciprocal of the gross PTV values of sides and diagonals:
The sides of that twisted, supposed square ABCD in perspective relate to its diagonals by the ideal root 2 to the 4th significant digit.  Perfection.

Is that a coincidence?

***

I'm sure there are "details" above that are invalid, though seemingly close.  In those law does not require that they work out as they did; we have true coincidence.  The above represents but maybe a half day of searching.  A more disciplined and instinctive searcher than myself would find many more relations than did I.; many more "loose threads" I suspect.

Some "intuitive" thoughts:

Does the development of and 'end game' in the current market correspond the perfection of Phi or other metric among PTVs?  Take Fibonacci 3/5 or .60.  The diagonals of the sides of square ABCD, AD and BC are sectioned in to imperfect but recognizable .4044 and .5956.  Those vectors are complete early on in the current market, point D having completed in March 2009.  Much later on, vectors AE and DE complete (prospectively) in March 2017 and relate to one another again by Phi.  At this latter endpoint, a more accurate reflection of Fibonacci 3/5, that being .3998 (DE /(AE+DE)) and .6002, has developed.

Does the market, as it vibrates, exceed the Phi mark on an early swing and with each successive swing miss the mark by less and less until the Phi mark is substantially perfected?  Can a new marginal high create yet greater perfection of Phi between diagonal PTVs AD and BC or the Phi relation between two side PTV CE relative to center of cube diagonal BE (2734/(2734+1681)=.6193)?

Did March 1, 2017 print the final high of the structure that began in January 2000?  What happens to all these market measurements, which seem to have found perfection in their four PTVs AE, CE, BE and DE, if point E makes a higher high?

Which are the more sensitive PTVs in seeking Phi perfection; the pair of AE and DE face diagonals or the pair of the two sides vector CE and cube center diagonal BE.  The former are very close to perfection of the Fibonacci 5 / 3 iteration of Phi (presently at .6002) while the latter are far less perfected of the ideal Phi at .618 (presently at .6193).

Another all-time-high, only if marginal, or is it close enough to structural perfection?  A loose thread that perhaps some sensitivity analysis might answer but which will surely be answered in time.

Jim Ross






Sunday, March 12, 2017

Current Market: Adding to the mathematic "aha's" and hints of mathematic market structure

"Every market high and low is caused by another point in the market."  Or at least, that's the belief that WD Gann expressed dozens of times.  That there is a cause and effect in everything and markets are not exempt.

And that's what I'm increasingly finding in the current DJIA from the 2000 top.  Beginning with the 2000 top and ending with the present all-time-high of only a week ago, there are 5 market market pivots.  Those points are each related to the other by the market metrics which were presented HERE.  No, ladies and gentlemen, we aren't talking about a "Gann fan" or Phi spaced support and resistance levels...stuff that shows there are rhythms and approximate cycles but which are woefully short in saying "this is the one price and the one time."  We are talking about structured mathematics between each of those 5 in price/time; the one and only price at the one and only one time.

And lest we forget; the stock market was only Mr. Gann's laboratory of spacetime in my humble opinion.  This time I'll give you the exact quotation:


In my suspicion, Mr. Gann had, by the time of that quote, already worked out the four-dimensional structure of the market and had, as well, applied that mathematics to personal and world events using the Law of Vibration and Luo Clements' (imo, WD Gann) methodology.  Remember also from the Ticker Interview that stocks are like the elements of the Periodic Table; they can be classified by their "number" and those within a class of similarity behave similarly.  Didn't Luo classify names by number and specify that those of the same class (3,6,9 or 2,5,7, etc) react and behave similarly?  So, if I or someone am ever able to specify the mathematical structure of the market with Mssrs. Gann and Cowan's instruction, that's only a minute beginning.  The market is the "simple" case.  Its the amoeba in the petrie.

Now, back to the "aha's" of the current market.  There are so many "aha's" in the 17 years of the current market I'm overwhelmed.  Of the 5 real price/time points (A, B, C, D and prospective E), each  is the original for at least 4 Price Time Vectors (PTV).  Those vectors from each point are mathematically related to one another.  And because those PTVs joint at other real price/time points, every PTV must be related to every other PTV.  It is just a matter of taking the time to figure out the math.

We're talking about a lot of time to work out all the math.  If we have 10 real vectors and every one is related to the other then there are a lot of combinations and a lot of relationships to work out.  Perhaps 10 factorial or 10X9X8X7X6X5X4X3X2X1 = 3.63M relationships?  No, that's not right because order is not a factor.  Maybe its 10! less 9!  Still, 90 relationships is a lot to assess.  Regrettably, I do not recall from that statistics class from 40 years ago in combinations, permutations and probability the model that needs to be applied here but its only a confirmation of what I intuitively know; there are a lot of "aha's" that can be worked out from this exercise.  I will only rigorously and completely work out one of the PTVs that are associated with one point and a couple more of interest and of necessity.   To start, let's reprise the current market chart:


You'll see in red text the relationships I teased you with in the previous essay.  A couple are "duh aha's" that any semi mathematic observer can ferret out.  For example, the first red "aha" is CE divided by CD is equal to two.  Well, not so much because it is equal to 2.07 to be more accurate.  I give that a teaser "aha."  A little closer is AC / AB = 1.98.  

What's the big deal about PTVs having a relationship in magnitude of 2?  Its the root 2 growth spiral in nature.  A biologic cell at it base level divides itself into exactly two parts.  A 1X1 square divides itself by replicating its 1.414 hypotenuse to form a square with sides of 1.414 and exactly twice the area of the 1X1 square; that being 2.  That 1.414X1.414 square; what's its hypotenuse?  It is sqrt(1.414^2 + 1.414^2) =....you got it...it 2.  Finding vectors relationships to one another of 2 implies the root 2 growth spiral is as Mr. Gann might say "at work in the market."

Now lets use some averaging to sniff out some structural relations.  Its very disappointing that the supposed square ABCD has sides, none of which are equal.  And the diagonals aren't equal nor doe either of them extrapolate from any given side that would indicate squareness of the sides.  Go to the fourth of the four red "aha's" above.  You are summing the diagonals of BC and AD and dividing by the sum of the four sides.  The math:

That's one of the first "aha's" that told me I was on the right track towards confirming the market struct that Mr. Cowan asserted must be present.  The average of the two diagonals divided by the four sides is 1.4068, comfortably close to the relation of the hypotenuse of the 1X1 square to one side or 1.414 (root 2).  It worked kinda like I thought it must work according to the perhaps the grandfather of all laws; the Pythagorean 345 triangle and the calculation of it hypotenuse.

Do you understand the importance of the above?  Its not like, "wow, price hit the Phi retrace and reverse" when it happens 1 out of 10 times or 1 out of five or its hits one of the several Phi levels.  The proposition was, if ABCD is actually a square in a tangled, twisted perspective view that defies the limitations of what we can visually interpret, then its diagonals must relate to the sides by 1.414.  It couldn't be otherwise...and was not.

So why are the sides not equal?  Well, we know they never (well, pretty much never) are in the market.  Having already worked out many of the 90, or whatever, unique vectorial relations, I know the difference is the many growth spirals that are simultaneously occurring.  I've seen enough to know, those four sides of the supposed ABCD square are mathematically related, by some permutation of a growth spiral or market metric, to each other and every one of the other 9 real vectors.  It's law.

***

Do you see where I am going?  If the four points and associated vectors of square ABCD are mathematically related to those four vectors that connect them to hypothetical point E (e.g. PTVs AE, CE, BE and DE), well, point E is mathematically determined.... it is determinable.

If you caught the "*" notation of the previous essay, point E in three dimensional space can be predicted from three fixed points.  You know, all the action movies have the detective asking the cellular folks to "triangulate" the bad guys cell phone.  In two dimensions, you only need two points and a vector of fixed magnitude.  With those givens, point E can be determined from PTV AE and AD or from PTV BE and AD or from PTV CE and AE.....  And all of those PTVs' magnitude are mathematically determinable from points ABC and D.

Once the low of March 2009 occurred, the die was cast for Point E; both time and price.

No, I have not worked them all out nor have I codified how the growth spirals will work to create a model of the structure.  There's a lot of work yet to done in this laboratory.

Next up, I'll go over some simple "aha's" and implication.  Further down the road, I'll take point A and look at the mathematic relations between the four vectors that radiate from it; AE, AC, AD and AB.  That's where I suspect we will first begin to codify the structure of price/time.

What is the cause and what is the mathematically consequent effect?

Jim Ross




Saturday, March 11, 2017

Current market: The mathematic landscape

If you saw the next previous essay on the symmetry of the current market a natural reaction by many of us to the presentation of ellipses might be... "something has ended"... at the March 1 all time high.  We like symmetry, its human nature.  But its subjective.  Likewise, when we see a sophisticated application of Phi support and resistance, we are blown away by the apparent knowledge of the author.  What an "aha" moment when you see the market reacting to Phi for the first time!  I plead immensely guilty.  It speaks to our nature that when a researcher finds similarities of tops and bottoms along with a magical number that we are persuaded.  But those coincidences, conflated to systems and methods, are not according to natural law.  They're according to an accumulation of coincidence; scant accumulations at that.  They might repeat somewhat better than 50%...which is good.  Don't get me wrong, if systems of coincidence tilt the odds favorably, its good.

But a web of coincidence is not mathematic, geometric natural law.  That makes anything other than natural law largely subjective....hunch.  Law, on the other hand, means it is inerrantly objective and predictive.  Its cause and effect.

Let's look at the mathematics of the current market, use Bradley Cowan's adjacent cubes structure of the market and his Price Time Vector (PTV) measurement given the proper squaring (see the previous essay).  Let's see if there is a preponderance of the "great numbers;" not just Phi, but root 2, root 3, root 5, Pi....  Here's the chart:


Let me describe it.  First, its two adjacent cubes and it is a perspective drawing that reflects the "moving location of the observer" or, alternately, the "moving location of market points relative to the stationary observer."  Solid black lines connect 5 specific market tops and bottoms (January 2000 top, October 2002 bottom, October 2007 top, March 2009 bottom March 2017...err something).  I call the 5 solid black lines "real" because each connects two real price/time points.  The remainder of the black lines are dashed and I call them "imagined" lines.  They help us (me) in visualizing the mathematics, the structure of law, that must be taking place, if the market has formed adjacent cubes as Bradley theorizes.

In addition to the apparently differing lengths of the solid black lines are colored dashed lines; two blue dashed lines representing the two diagonals of the square, two red dashed lines representing two of the four face diagonals that span two cubes in length, and one purple dashed line that traverses the center diagonal of the two cubes.

So how many "real" lines do we have?  We have 10 since the colored diagonals all have market endpoints.  There are 5 real points in price/time named A, B, C, D and E and there are 10 real vectors that are created by those 5 points.

Now one last item for this introduction.  Look at vector AB; at near its midpoint is the number 648.27.  The software (Cycletimer) has computed the PTV value given points A and B and the squaring parameters that I have shown at the top left of the chart; the change in trading days X 6.5 hrs per day X .10 and the change in price X .10.  Those are the same squaring parameters I used in the previous essay to compute vector AB's PTV value.  Computed in the previous essay the value was 650.27 whereas the software computed 648.27.  Obviously the mathematic calculation is preferable.  The software works fine but the vectors are visually fitted to the high and low points and some small differences are introduced.  A small price to pay to be able to fit vectors and create scenarios visually.

I've added some teaser equations.  There are perhaps two dozen numerical "aha's" in the above chart I'm sure.  I've probably discovered two dozen at this point.  And I've added in red 5 of those discoveries.  I've added them to whet your taste for what's to come.

Its not the number of "aha's" that are important; its the structure.  Unless Bradley Cowan was deluded in his description of the importance the cube, the importance of the two adjacent cubes and the importance of root 5 (an aspect of two adjacent cubes, we should see mathematic structure in this chart.  We should see the measurements and metrics described in the previous essay unfold in order to one another.  Since the chart progresses left to right according to time, the mathematics unfold in that order.  If we see a certain configuration of math occur in the market today, then, according to the mathematic structure of the Platonic solid being formed by the market we should see the next dependent mathematic aspect unfold in the successive market movements.  Structure creates expectation...creates determination.

Work through the five teasers in red and see if we are not producing a variety of the mathematic metrics presented in the first essay.  Take any of the 10 PTV values showing on the chart or all of them and recalculate them to keep me honest; its the same calc that derived the 650.27 value of PTV AB in the previous essay.

***

Next up I'll develop more of the preponderance of "aha" metrics of the adjacent cubes and perhaps categorize them.  Two essays from now I expect to describe the structure of adjacent cubes using the metrics created and our expectations created by the math of the adjacent cubes.

I'm not sure I will take the analysis into a final essay using structure and metrics to predict, retrospectively compute point E in the current market.   Prediction will, at that point, be only a matter of triangulation.  Think about that.  

If points A, B, C and D and the structure of the adjacent cubes can derive our expectations of the values of PTVs AE, BE, CE and DE, is not determining future point E just a matter of triangulation*?  

Well, that's the plan.  Let's see how far I get.

Jim Ross

*Finding a point in three dimensions requires 3 points and three vector to find a fourth point and is called triangulation.  But market charts are two dimensions; we need only two points and two vectors to find a point.  When I use the word "triangulation" it is only to connote the mathematic fixation of an otherwise unknown price and time.  The "tri" would be more appropriately "duo" or "bi" and hence,"duoangulation" or "biangulation."