applied XQ — what a leap!

3 11 2013

I took a massive leap the other day, in terms of math and psycho-social dynamics. I followed it with a second dive yesterday related more with the direct application of number to actuality, and a third today, where I explored SEA and its various value vectors.


the leap

I started off with the intention of being heavy on my coming death-day, to raise the stakes. Instead, I ended up applying number to language, and then developing a reflexive syntax, generating a fractal social algorithm Qunity, and creating a social contract with a viewer (or other person) that merges decision, hope, trust, power and all the good qualities that make is worthwhile to be human.

I recorded the leap, thankfully, as a textango, and have put it online, with the first 30 min of the first movement visible if one has the link. The second bit, as well as the second and third movement are private. The last movement is more of the ‘return’ from the dive, attempting to apply it to the real world, specifically to team Goose, Gunther, Sasha and Bernard, as well as genius Alex.

nervous second dive

I have shared this video now with 6 people, none of whom have replied. I don’t expect anyone to follow the line of thinking, but there is always hope.

So I conducted a second dive yesterday, with mixed results, attempting to apply the syntax to the application of number to actuality, and I got in a muddle with Bitcoin and Qubits. I have made the first part of the hour’s dive visible, and the rest is locked.

third dive and joy

I have been nervous because the territory explored is… not new exactly, but a conflation of a lot of thinking over the last decade and more. I have had very loose models of reality, minimal systems, and I was concerned that the leap I took with applying number to language and developing the syntax was into a territory that was… too large to explore.

Given time, given money flow, given relaxed conditions, I might be able to conduct this comfortably. Doing so under poor social, financial, material and temporal conditions, makes it all rather ‘pressured’, existentially. I got into this in a post I wrote yesterday on my main, more human blog.

I shall put up the initial track, and keep the other’s private. Although I conflate everything to something entirely meaningless, I feel that I have explored enough of the space to be assured that the task at hand is not impossible. It should be relatively easy to design an algorithm which combines people-money-time-resources using SEA value vectors and has touch-points with money and the current valuations of e.g. property. I do hope the guys, Gunther, Sasha, Doug and Brendan, get a sense of it, and manage to pull something practical from it.

in sum

So, I still don’t know if it has any meaning, actually. Which is why doing what I am doing… tricky, or even dangerous. Playing around with value equations, where one is uncertain of one’s value, is… a vulnerable thing to do. I hope one day you may appreciate this, whatever happens between us these days and over the coming months.
So, it’s not clear, and it’s not concrete, however, there is enough space to explore. I am not sure how useful it will be to concrete plans, but I am confident (to an extent, perhaps k=7) that we’ll be able to produce a simple enough equation for it to be useful in a first application. This may come more from your side (e.g. Sasha) than from mine, since I am approaching it from a generalised space, as usual. MTTP and SEA were penetrating results, but exploring the space around these, considering the variations, systemically, is a rather tricky task.

fractal derivation of π!!

27 10 2013


This is astounding, in my mind at least.

Basically, the table shows an approach to the point (-0.75,0) from above, that is (-0.75,X) as X tends to zero. It’s the bit of the Mandelbrot Set that connects the main bulb to the circular bulb on the left. The bizarre bit is, as we approach this point from above, the proximity to it derives π. That is, as we zoom in to this point, we get a more accurate enumeration of π itself.

I’ve been wondering about this for years, and was about to insert it into the book as a potential future result — and it has already been done.

Check out the original post, which records the history of it. Not sure what the purpose of contacting him is, but on the back of a conversation with Mariana Soffer, I’m thinking of periodicity of coding structures, conflating code processes into dynamic code elements; think animated gif or animate icon, but applied to code language itself.

nen and the hall of mirrors

30 09 2013

While reviewing my experience of math and buddhism, an interesting guy named Brendan used ‘nen’ to evaluate where I was in terms of my understanding of mind. I admitted I hadn’t heard of the term, and he then sent me a pdf of this book, Zen Training Methods and Philosophy. Here is my initial and immediate response of my live reading of Chapter 10, ‘Three Nen-actions and one-eon Nen’.


Generally, wrt nen… reflections, meta, the hall of mirrors, and stabilising a third stable state. Ie, not getting lost in the reflections.

compounding temporal experience

The writer is talking about this in terms of sequential time, hence the level of complexity that quickly arises as observations compound reflections. It is this compounding across a period of time that gives rise to higher levels of mind, or consciousness. I am not sure if the nen that are talked of are these ‘compounding’ mental functions, or a complete and artificial simplification of the model of mind, something we tend to do when modelling mind.

I haven’t thought about this ‘compounding’, or more inaccurate though perhaps more resonant in the reader’s mind, ‘compressive’, function of the mind. When my mind echoes this response as I read, I am aware that I am not forcing previous thought onto this reading, but that whatever comes out changes in relation to what is read. This is live reading. I don’t go back chasing after the ‘accuracy’ or ‘truth’ of previous thought. I don’t have anything ‘fixed’ in my mind. It is all variable. My model of mind is plastic. It takes the shape of what whatever is concurrent, like most all of my interaction.

subjective calculus

From my limited experience, and going on a massive leap of intuition, I have applied calculus to subjective time. That is, meditation is the experience of subjective reality as time tends to zero, subjectively speaking. Thus, I have mapped arising and dissolution of thought to mathematical functions. This chapter is examining the thoughts that arise in the micro-second window in a mind which is at rest. That is, a rather sophisticated mind, like a calm lake, a flat horizon, and thus witnessing the arising of a thought/feeling/observation/stimulus-response.

Most of my experience is in the storm between people, and this level of sophistication of mind is seldom operational in presence with others. First Question: are you capable of this level of flatness or clarity of mind, when engaging others? I initially meant this as a question for Brendan, but it holds true for anyone reading this.

The article goes on to reveal this compounding effect, and the continuity of mind that is composed of previous states of mind and new observations as they happen, and the state of mind we have just mentioned which is to nullify observation and pacify mind through ‘mu’. Sweet.

It is next to impossible for a person who is not trained in zazen to throw himself voluntarily into the condition of listening itself.

Beautiful. The next wrt music, is lovely:

The sound itself has passed away, but it is held in this present instant in its living phase.

fractal consciousness

Can’t help but read this as an attempt to capture the fractal aspect of mind, first in its fractal compounding into the moment, and then as the releasing or decompression of the moment into memory and living presence.

An observation: there is still no mention of ‘pre-conscious’ and ‘post-conscious’ processes. The writer collapses back to a timeless description. Is this because of the nature of what is being talked of, or because our means of communication, the model of mind — in the act of verbalisation and representation — simplifies, reduces and thus we confuse the model for our own reality. Hence the need for the Reflexive Imposition.

Incredible attempt, though. Absolutely incredible. I am looking forward to more.

mapping subjective experience and objective experimentation

Mapping of nen and short and long term memory as understood by western psychology and objective experimentation. Because the writer is now weaving between internal subjective experience and external objective experiment, he adds a speculation, which is rather sensitive.

The feeling of the continuity of our ego is also brought about by the identification of mood, which continues to be felt at every moment and has been handed down to this moment.

I call this the momentum of mind, the various quanta of mind that persists through time, eg the personality of the person. I’m loving this. I think this material could be lip-jived onto music like the other material and can be very useful for long-term exploration. There is definitely enough substance here which should be verified by internal experience. Second Question: Have you validated this speculation, regarding the process of long term memory, mood, and self-identification?

half-way through and my mind is tired

This kind of material is enlightening, but tricky to sustain. There is freshness upon reading. A liveness, as mind reformulates integrates. The medium of a book is strange, amazing and yet dangerous. I am aware that my reading is occurring in the resonance chamber of my own mind. To keep up this level of freshness, is tricky.

So, I shall leave it for now. This material is high quality and dense. There is primary understanding, and as with any modelling of mind and its representation, we can slide too easily into what we think, object of mind. To remain fresh, in such a medium of writing, is demanding. I look forward to following up the second part of this, though it may be some time before I can return to it. I may benefit from engagement with live mind, eg Brendan’s. I hold more stock in live mind, in the space between, than in the medium of words caught in books, regardless of how incredible this book is, and undoubtedly, the mind that composed these words.

Incredible book, and gratitude to the author and to Brendan, to the accident of self that enables my mind to appreciate even 1% of this, and to those who make progress in this exploration.

not good

31 05 2013

There’s good, there’s bad, and there’s not good.

When someone does something good, we may appreciate this. We can map it with the positive number +6 say.

When someone does something bad, intentionally, we may ascribe a negative value, -6 say.

There is, however, a grey space, when it is ‘not good’. We might represent this with ~6.

What does this mean? To do something which is ~6 intentionally. That is, they are doing something in ‘negative space’, in absence. It is not that they are doing anything to you directly, but there is a detrimental concurrent effect. Eg, giving a biscuit to one daughter and not the other. The kid who gets the biscuit is happy, the other is not. It is not that the parent did anything wrong, it is that they simply did not do something with the second daughter — did not give them a biscuit, in this case. Not bad, but certainly, undeniably, not good.

what’s the problem?

The chances are, most actions going on in the world, at the inter-personal level, are not meant badly. People do not set out with negative intent. Very often, they set out with positive intent. They start out with a +6 intention.

Same could be said for scientific solutions, and indeed most of social evolution. Most people mean well, and seldom is there negative intent.

What is characteristic in our social dynamics is that this ~6 is interpreted as -6. The ‘not good’ is interpreted as ‘bad’. This induces what I have called over the years, ‘oppositional state’. When two people seem to be on opposite sides of an argument, or a conflict, when there was no original intention of negativity on either side. And, sadly, it is oppositional state that grounds most of our institutions, from politics and law, to science and religion. And it is also at the basis of most of our internal mental problems.

So, this ~6 is interpreted as -6, and then this escalates until we have a breakup of our relationship, brothers estranged, fueds between families, and even international wars.

War, or inability to communicate, is not the problem. Obviously -100000 is not a good situation, but these explosions result from sparks. The problem is the mis-interpreting of ~6 as -6.

what’s the solution?

The obvious solution is multiply by -1.

This is a mental trick described in XQ elsewhere. Basically, it means reframe. A broken leg may enable a period of peace where you can get all that reading you’ve been postponing over the year. Raining? Good for the plants.

In terms of inter-personal dynamics, it is a matter of translating a negative intention towards one, into a positive one. The multiplication by -1 can occur when one is in rather aggravating circumstances, such as in math classes while doing supply.

The best place, however, is to convert the negative that arises in the mind. So, it is the interpretation of negativity that is multiplied by -1. So, when I got a feeling that my friend was doing well and there was the hint of jealousy, by thinking of the positive version of this, I managed to ascribe a positive result to this feeling.

So, when one perceives an apparent -6, simply multiply it by -1, think the opposite of it, and you are good to go. What was +6, initially interpreted as ~6 and then -6, gets converted back into +6.

Basically, it works.

the problem with the solution

Multiplying by -1 works with simple negatives. It doesn’t really work on ~6 directly. So, when faced with something that is ‘not good’ but we haven’t taken this to be ‘bad’, what is the appropriate conceptual/emotional response?

If we borrow from math again, we might consider multiply by i, the square root of -1. Something I have been hovering around for a few years now. But what does this mean?

So, when we have some situation where we don’t understand someone else’s behaviour, and it may appear to be ‘not good’, what is our response?

My basic response is to ask, in order for the other person to confirm that it is indeed +6. If I establish that actually there is an aspect of their behaviour which is detrimental, ie -6, to others in the classroom or myself, then we have an opportunity to think of something else that does not have these negative concurrencies. Ie something other than +6, perhaps +9 or +4.

If they insist on going ahead, then they are willfully perpetrating -6, knowingly.

Another response is humour, I guess, to play with the ~6. Or ignore it, and see what the result of the +6 activity is.

the subtle problem with the solution

This is the real problem, when someone insists on perpetrating what they think is +6, when they know there is danger of taking a -6 interpretation, ie it is ~6.

Now, the emotional response is to something that did not happen. It is not rightly -6, because there is no negative intention behind it.

When someone perpetrates -6, and they know it, then you have to suffer it. Someone means harm. They don’t care, they are going to continue. In a good world, it may be a surgeon making the required cut, or a parent who is aggressively pulling the child away from an on-coming car. The results will have to prove whether the action in the end is good or not, even if they are not perceived. In the first case, the abscess has been removed, health is restored; in the second, the car is gone and the child does resents the aggressive pull.

When someone insists on perpetrating ~6, knowing there is a good and a bad side to it, things get more complicated. The child observes the parent who is giving the biscuit to their sister. They balance on the knife-edge. They do not fall for -6, and they know it is not +6 at least with respect to themselves. Here is the opportunity for the mind to jump to an other level. And we have the response of suppression, ie resentment, or celebration, ie trust.

That’s all I’ve got at the moment. Still not clear. But definitely in the ballpark.

mandelbrot set as addition squared

15 05 2013

I think this makes sense.

disappearing dimensionality

I’ve been staring at this for a while. Looking at how 1 has the same value as 1 squared and has the same value as 1 cubed, etc.

1^n = 1

At least in terms of integers. IF we ignore the dimensionality of it. But that’s what’s annoying me. Since, obviously, a line of length one is different from a square which is different from a cube. 1^billion is a pretty dense multidimensional space. But when we just look at the integer value, it is just one.

When we multiply it, even by a tiny amount, the power function takes our number to zero if lower than one, or infinity if higher than one — both at an incremental rate.

eg x2: 1, 2, 4, 8, 16…

eg x1/2: 0.5, 0.25, 0.125…

But look at what is happening. I can understand that if I double a length, I get four times the area, eight times the volume. When we half the length, we get a quarter of the area, and eight of the volume. But don’t you think that an eight of the volume of anything has got to be bigger than half a line? Surely half a line is smaller in some way than a quarter of a square?

When we pull the same trick of forgetting about the dimensionality, by reducing the multiplier, we simply get smaller integers.

I sit and stare at things like this for a while. I stay awake in bed, thinking about this.

mandelbrot set

The Mandelbrot set is defined by the following iterative function:

z -> z^2 + c

It should read z_subscript_n+1 = z_subscript_n_^2 + c. That is, the next value of z will be the last one squared with c added to it.

I re-examined this, because it is somehow related to the mystery of disappearing dimensionality.

Let’s take c to be 1 (on the complex plain, c = 1 +0i).

We assume that we start with z = 0, so our first z = 0 + 1. Actually I am not sure if this is the first, or not. But after this, it get’s easy.

first z = 0^2 + 1 = 1

second z = 1^1 + 1 = 2

third z = 2^2 + 1 = 5

fourth z = 5^2 + 1 = 26

And so on… rapidly escaping to infinity. Which is why we don’t see much around the point (1,0) on mandelbrot set.

what’s the function again?

What are we actually doing in the iterative function that generates the Mandelbrot set?

It looks like we square then add to get each new version of z. This is how the transformation is written. But is there another way of looking at it?

Well, we add c (the original number) to a square of the previous addition.

The original script emphasises the function of squaring then adding. But in iteration, it doesn’t really matter what order it is, since it is squaring and adding, squaring and adding, squaring and adding and so on.

We could just as easily say that we are adding and squaring, adding and squaring, and so on.

This gives a slightly different sense, and can be written as follows:

z_subscript_n+1 -> (z_subscript_n + c)^2

The numbers that come out of this transformation are:

first z = (0 + 1)^2 = 1

second z = (1 + 1)^2 = 4

third z = (4 + 1)^2 = 25

fourth z = (25 + 1)^2 = etc

Notice our answers from the other way of parsing the operation are hidden in our calculations within the brackets, ie 1, 2, 5, 26…

So what, you might say.

Well,  the Mandelbrot set is the set of complex numbers that do not escape to infinity, and gives us the nice shape on the complex plain. We focus on the static numbers. Does 1 escape? Yes, so it is not in the set. Does 1+i escape? Yes, and so on.


However, in our alternative way of parsing the iterative function, we see that it is not the static number which is iterated, but the addition. It is the operation of ‘addition’ that is being squared repeatedly. Without that little addition being iterated, we wouldn’t get the fractal quality.

This is how the fractal is created. Without the addition, we simply get a unit circle. I think.


There isn’t much of a conclusion in these explorations. Perhaps only the pleasure of coming up with an alternative interpretation of something I have been looking at for the last twenty-five years. That’s a buzz in itself. And the fact I don’t think anyone else on the planet is poking around this material in this way. Applying XQ scrutiny to math.

The implications are… well I don’t know. We will see if there are any.

It’s like teasing apart a structure, and by doing so, a little at a time, over the years, we have enough flexibility, enough alternatives, that new associations are made that depart from a path that math has taken us historically.

What would I like to see?

Well, there is something about dimensionality appearing in the Mandelbrot set. The increased detail, with a Mandelbrot zoom, indicates something about dimension. And this zoom is performed by increasing the accuracy of the initial number, the number of decimal places. What appears to be in the Mandelbrot set at 0.5 + 0.3i or whatever, turns out to be actually not in it at 0.55 + 0.30i. The precision, gives us the interesting boundary.

This fractal boundary is in the depth of the number of decimal places. There is uncertainty there. We don’t know after 1,000 decimal points for some points, whether it will be in the Mandelbrot Set or not. This is remarkable. It is like saying there is depth between 0.5 and 0.6, and it is not regular. Peaks and troughs of depth. Between numbers.

I am more interested in the movement through a Mandelbrot Set, rather than a straight dive, which I shall cover in another post. Movement beyond arithmetic iteration, or scale. Movement ‘across’ the set. I am thinking about the bulbs on the set, and the ravines.

The Mandelbrot set is too… static. I think there is something that we may find that is dynamic in it. And I would like to tease this out.


Because I think it is related to the shape of consciousness.

therapeutic math

30 04 2013

Recently, I have had the opportunity of experiencing hell. My previous offerings (2020worldpeace, eco^2) seemed abstract or detached, but they weren’t, they just weren’t down and dirty with emotional problems. Now, I might be able to provide a means which may actually prove directly useful in our daily lives. Transforming negative emotional states, as well as dealing with psycho-active agents which cause us so much internal and social turmoil.

When I first explored XQ way back in 2008 in Thailand, I wrote a section which suggested that if the premise is correct — that there is a subjective side to math — then the act of performing certain math actually performs certain processes in the mind which may be useful to us within our internal mental space. I think I am approaching a time where this exploration is now possible. Surviving hell has its benefits.


I have finished (messily) three movements of a book I am writing called GIFT, and approaching the final movement. As with all my books, there is always something dramatic at the end. I set up up the book as I write, and create a mental space at the end which is entirely empty, hoping that inspiration will provide a fitting conclusion. Not so much a logical conclusion, but an emergent one.

With GIFT, the narrative is about an older man who is living in a period of time where society is approaching a massive global transformation, of which he is part. I do not know how this is to be written, the content, the drama. I do not know what format, first person, third, whether to write more dialogue, or to simply describe. I simply do not know.

However, because of my personal relationship, the hell I have been going through, I have undergone a form of transformation, and though math has been partly responsible, it is not entirely clear. I have had some projections into the verbal field, noticing how our mental environment matches our ecological one, or how self-denial matches our social-denial. But when I start to describe them, because of their nature, they tend to multiply in word and story. Hence, the desire to capture it in concise mathematical form.

Funnily enough, I started to write an article which goes into multiplying by negative one as well as multiplying by i, the square root of negative one, but I thought this material was too much for my 2020worldwalk blogpost and transferred it here. I continued writing it, but got bogged down in detail and have not returned to it yet.

I simply wanted to write this post to indicate where I am at the moment. Midway between a social, verbal description, and an XQ mathematical description.

XQ — a rigorous path to personal and social happiness!

And if I manage it, then not only will it align to my current mental trajectory, but it will fulfil my intuition of a therapeutic maths, as well as provide people with direct testable material which will not only improve the quality of their own lives, but will naturally lead to us all improving the quality of our lives collectively, globally.


But these are just words, not fitting for this blog. What is needed is math.

actual serendipitous alignment

13 09 2012

Having met Alan Raynor through Leon (who wrote this post) on an email engagement only a few days ago, and getting a fortuitous recommendation from John Wood of Metadesign to learn about Alan’s Inclusionality theories, Alan kindly shared his ideas on relativity which, as far as I can tell, is an attempt to include consciousness in the frame of reference.

As I write this, I have got as far as reading Newton’s famous equation, which Alan uses as a natural culmination of Parmenides’s discrete world view.

F = ma

and I simply translated this in terms of money rates as defined by mttp. That is, acceleration, rate of change of distance over a duration, as rate of change of money over a duration, for example, £100-day per week. Think of a bundle of people who are engaged with these different rates of moneyflow, multiply them by the number of people, and you get some notion of the force of a social movement.

(Why movement? Because my mind has just got off the back of engaging Indy with respect to Jeremy’s work with, who happens to be co-founder of avaaz. This video is a rather good example of the level of self-disclosure required for our new global “leaders”.)

Of course, the math of real cases is more complex than F=ma, and so is one where eg 50 people were working at different rates. F, in this case, would still give some idea of the “force” or “momentuum” of the movement. So far, the momentuum for ecological economics is around £10-hour per week, and it ends in a season. That’s barely a pulse. We were almost close to £100-day per week for a season, which starts to become reasonable, and ideally, and healthy, when it is five £100-day’s per week — for one individual.

And this is to talk about money. If we shift to subjective enumeration, where people are giving values for each other’s contributions, what kind of calculations can we derive regarding the “force” or “health” of a movement? Will increases and decreases of subjective enumeration derive patterns that we can study with standard mathematical tools? Will new laws emerge that capture how realistic a movement (or a project) is, the required “energy” to manifest results? Undoubtedly, in my mind.

(John, as you can see from his metadesign article based on our event, has been considering the required parameters for synergy to occur, but I feel he is jumping the gun slightly. I need to have more obvious palpable results, like the results that Jeremy has produced. Or, more like action cycles that derive some numbers in terms of moneyflow and subjective enumeration. That is, I would rather base analysis on what works. Hence my customary call to ensure we have moneyflow while we examine these equations, rather than attempt to derive them sui generis.)

I have now finished reading the article, and it ends with with rather loud statement:

Space is an intangible presence, with qualities vital to the very possibility of cosmic evolution. SPACE HAS

I am looking forward to reading Alan’s rather longer paper written with others, where I hope there are attempts to mathematise his thinking. I expect to find some material which relates to material I have dubbed XQ, observations on how math needs to change to capture the kind of thinking he is demonstrating.

And just in case anyone reading this thinks this is all pie-in-the-sky thinking, Alan has conducted courses at Bath University where the effects on his students have been quite remarkable; here’s a video of some “results”. That is, his engagement with real people is the proof of his thinking, much like my experience with kids has influenced my thinking. It is grounded in inter-subjective reality.

The application of this thinking may prove to be substantial in terms of global movements, ala Jeremy’s Avaaz organisation, but I am personally interested in getting proof of process not only in classes (something we have achieved already), but in business. I am specifically interested in getting proof at the bleeding edge of business, in sales, marketing and advertising. I have met with some remarkable people, like Ken Dixon from Newhaven Agency, and if we get proof there, not only will we unlock unlock a source of moneyflow from companies, we will provide companies with a new business methodology which will greatly accelerate all the good work being conducted by theorists, educationalists, entrepreneurs, environmentalists, and everyone attempting to avert the very real ecological disaster we are facing.

If I had a wish in my life, right now I’d use it. I wish that all the players mentioned in this post aligned sufficiently strongly to be able to… if we were mountain climbing, it would be putting in the effort to reach the next camp, higher than any of us have so far been. A stable point which may enable others to reach without too much difficulty. A vantage point that allows a clearer view of the terrain around, the socio-economic and historical-political position we are in. And a point from which we may progress onwards. It is as if this point is the first above the cloud-line. What might this mean in the real world? An algorithm? An operational model which enables a group of people to achieve something remarkable, the first manifestation of the “confluence model”? I do not know. This is what my wish might be.

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