non-zero origin and polar co-ordinates

2 07 2015

A rather untidy foray. There are some useful bits in here… but not well presented. Uncut precious stones, maybe just common garden stones, you decide. Bears little relation to what I am spending nearly all my time these days, working on the Ecosquared app. Only direct correspondence is with money as a vector in time, and between people, and the value attribution towards people, things and projections. I’ve developed equations that captured a phase change in social space making a decision, but that was with MTTP and I haven’t had a chance to approach that for nearly two years. There’s plenty of stuff to explore, but I’d like to have the money to do so — and that will be after the £60k beta version. For now, a rough and ready rambling expedition.

I returned to this graphic I produced a while back. A way to represent the self where the three physical dimensions are conflated into Actual (I should just call it Space), and all psychological and social aspects conflated into the vertical Virtual dimension.

3D TAV longitudinal

Sadly the original and the numbers which this graphic is based is lost. Roughly, the outer boundary is at 10^0, and each word on the axes increases by an order of three.

I did a quite review of articles written here, after I conducted yet another review of my own mind regarding the application of number to human existence. Namely, the application of positive and negative numbers, the root of negative one as simultaneously +1 and -1 (ie presence and non-presence); hoping that a nice pattern of mapping appears from the same pieces, namely how to attribute number to our experience.

This recent venture derives an obvious correlation of sense and projection as positive a negative. Again I am not sure which way it is best to attribute the numbers, but it seems natural to think of sense as positive and projection as negative. Fits into early intuitions that thoughts, the substance of the mind is effectively negative. It does not exists. And as usual, I was wondering if there was a sweet spot of configuration regarding words which signify things (light) and words that have no actual correlation to things in actuality (dark). All this is pretty straight forwards.

The only subtlety revealed is that +6 is not referring to an actual thing, but to the sense of the thing. It is a vector, if one accepts that negative is a direction. Of course, when there are two centres of the universe in the same room, then the application of positive and negative are relatively interchangeable. Positive now, intuitively, is the projective sense from self, and negative as coming towards self. But there are plenty of different levels of human existence by which we can colour this simplistic physical model. Point is, there are issues regarding a straighforward positive and negative with several interacting selves.

some numbers

In my recent mental review, I attempted once again to apply some numbers to power of 1, which is how I wish to capture human density, 1^n. And the notion of scale, which simplistically is 1^10^µ. Scale is a general sense I have attempted to correlate across various dimensions of our human existence. In my mental review, I came up with µ=3 for tribe, µ=8 for globe, µ=13 for solar system, µ=16 for galaxy, and µ=-3 for conscious, µ=-8 for mental, µ=-13 for bodily processes. And 1^-10^3 as volition like a dog, 1^-10^8 as perception such as an organ like an eye, or a flower, and 1^-10^13 as sense, cell-like.

Screen Shot 2015-07-01 at 23.56.55

Its a frightful mess, I can’t tell what is best or appropriate because there is no use to it. But use is a very scientifically laiden concept; buddhists sense of use is very different I suspect. Remember the tool itself, the mind, is the thing we are attempting to examine, in a methodologically different way than treating it as an object. So, I could say 1^n is social density, 1^-n mental architecture or complexes, and 1^n^-1 as introspection. But who knows? I don’t have clarity of mind currently to settle on one.

stay simple — stick those numbers on a graph

So, if this post is not about exploring some brilliant new observation on how to apply math to psycho-social dynamics, what is it for?

Well, if you apply those numbers in the spreadsheet to the 3d visualisation, it makes some sense. Especially if you use the second column of numbers. That is, 1 is the ‘outer boundary’ of ego, say, of the self. It goes into fractional parts internally, physically, mentally and in terms of time. It goes into greater orders of expansiveness outwards, again physically into the world and mentally into society and over wider periods of time. At the centre is zero.

However, what happens if you use the first column?


Yes, it is very messy, but I hope you get the idea. If we use the power µ=0 as the boundary of the sphere, or circle in this diagram, we get the centre as being -infinity. Which is somewhat reminiscent of Riemann Sphere. But of course, you can’t use the map above in a cartesian way, since (-1,-1) could be any number of 4 points. So, you have to use a polar co-ordinate system.

I’ve never used polar co-ordinates. I mean I did a tiny bit at school, but I never really saw the point to them, and thus I never managed to explore how it connects up a lot of maths, to do with multiplication by i and rotational geometry. But here it is, one provides a scalar and an angle. The scalar normally centres the zero at the origin, and negative scalar presumably transforms the angle by adding 180 degrees.

I tried to search for a better image, but don’t know how to phrase it. No luck on Google. Point is, the origin is not zero but negative infinity.

This may mean absolutely nothing. And I mean that literally, if one can mean that…

Zero as digit, an unusual digit because in terms of place value it does not hold its own like other digits; zero as a representative of a number like other digits, but again there is no corresponding thing out there which is counted. That is, 0 as absolute absence, void, not even that which can be named or signified.

Or, from another angle, the interpretation of negative as not, eg -6 as the specific absence of exactly 6, eg the absence of this apple, the one you can not see, that is only an image in your mind. We’ve covered this before. So, the collective sum of all not things, all negative numbers, not 6, not 5, not 5.5, not any number, not anything. And whatever is left is that which can not be named, or if it is minimally, we say zero, and the act of naming it vanquishes it.

observations regarding social dynamics

This is not philosophy. We are not playing with words. This is maths, and psychology, and using a buddhist methodology. Well, I’d like to, but lack the mindstate to do so. Point is, this way of representing the self, the one above, combined with scale as a power, derives an origin that is negative infinity. The absence of all thought. That’s wonderful.

And finally, I suspect there are physicists playing around with the maths of blackholes. I wouldn’t be surprised if the event horizon can be represented by zero.

And when we consider two people, and the simpler mental dynamics that allow a more… conducive exploration of mental objects. And three people and unstable complexity, and with seven or more a calmer social dynamic. Why? Because it is to do with the number of dimensions between individuals, and the preponderance of listeners. That is, with two, one can switch from relative mind conditions easily enough, or at least I can, from my own to theirs. I can do so when two people are dialoguing too — in fact we are all pretty good at that. I just don’t have much capacity when there are three or more, or even two, when they are not sharing attention well. But, once you get a group of people, because of the preponderance of listening, the sharing of attention means a calmer dynamic. Think lecture, perhaps, it returns more to following a specific singularities continuity of thought. That is, there are no changes of relative position — the origin remains the same — and all relative movements can be mapped relative to that origin, and one’s one, as if it were a conversation, though a little one-sided perhaps in terms of who is vocalising.

So, this polar co-ordinate business may be a useful way to explore psycho-social dynamics in terms of sharing attention. Ie, what we are thinking about, talking about, feeling.

Oh, and here’s another. Linking it to the fraca between me and Gunther a long while back, where we revealed the deep seated application of 1 or 0 to self. In the above model, self is 1^0, and you can choose which to identify with. The self-attribution of the centre as 0 (which was my original clumsy mapping) may need to be upgraded. Gunther’s self ascription of 1 for himself and everyone else as 0 — you had to earn his trust. Equality was not a given at the start. That’s the thing about the map of 1 for self, even if one ascribes the centre as zero. With this revision, 1^0 has both. The self-attribution remains, whether 1 or 0, and it still remains indicative of a state of mind, or… setting of mind, that provides some potentially rich path of exploration for psy-math and its therapeutic value.


31 08 2012

True horror is considering the negative implications of your actual course of action but from the vantage point of the future when those things have happened. Whether this is sexual decisions and behaviour or economics decisions and behaviour. That is, if it does impinge negatively on your children’ children, effecting intergenerationally perhaps seven generations into the future in a negative way as best you can see it — and you have looked at alternatives as they arise throughout your life — then now, how can one say one is doing the best one can?

Nope, because the best one can do, can not be compared to what one has been able to do.

(Breaking the negative, using a single stroke for negative “-“, and splitting it with a space “-  -“, a double negative?)

Socially, we have a lot to do if we wish to solve major global problems and that is through our individual, mature decisions and behaviours. It is not enough to be doubly negative, in the sense of trying to avoid making mistakes. Two wrongs – – doing what one is doing aware that it has negative repercussions, and trying to ascertain to the best of one’s abilities the course of action which has the least negative repercussions – – do not make a right.

Mathematically, if there are several wrongs and only one right given certain conditions, the probability may look small. Imagine a junction with a million paths and only one takes you to a happy world for the rest of our lives. We only get one pop at it and if we fail to manage this as a cross-generation engagement, the opportunity of the right path will pass and we end up on one of the many roads to disaster, environmentally, socially and so on.

The probability may look small but probability is not what we are interested in — we don’t want to make a blind guess. One sustainable solution out of a billion paths that end with disaster ——— that’s just way too stupid a way of looking at it! We need to increase the chances so that to all intents and purposes there is no choice but the one in front of us that happens to be the right one. Thus, the probability is 1, certain.

So, in order to get to that probability of certainty — that is, we’re doing it — we need the person reading this to take their reading seriously. Why? Because there is a similarity (perhaps fractally) between the “decision” made socially as a human collective in the future as the decision now made by a human individual while reading this.

That is, how you are reading will determine the success of our future lives together on this planet in a sustainable way for a few millennia at least. You meaning anyone as an example of all of us. And to be specific, you, reading this article right now, today, right smack bang in the middle of your life.

“then we need the person reading this” which was you back then you now reading and the you at the end of this article — we need this person to hit 1, certainty, basically, so that you actually do something about it.

Further, this decision by the individual may increase the probability of getting us on the right path, starting from a very very low quantity, a quantity that most individuals are not capable of seeing. That is, most of us as individuals may not see the possibility, the tiny one as it stands in 2012, turning into a large enough probability let alone that probability hitting certainty for us as a social collective!

Shall we turn to faith, then? Or belief? And if this fails us… a pure guess?

Nope, I prefer to use mathematics.

The probability is 1 at some point in the future if that is the future in which we exist, that we manifest. From our perspective now — this demands attention! — the probability at their time is 1. For us to get from where we are now, which is zero and we can represent as 0, we must rely on something we do not yet know.

That is, this thought-experiment is based on something we do not know.

That is, we are not basing it on anything we know — we are basing it on what we don’t know.

That is, necessarily, basing it on my trust of someone or something else, whether that is god, nature, science, money, planetary motion, words in the scriptures. But this basis of our belief is insecure, it slips because the very foundations of christianity or islam, or democracy or capitalism or what whatever institution that has formed has been because people base their decision on words, images and so on.

Our only alternative, if we are to trust others, is to place our faith on people we know, on living people, in those about us. But the consequence of this is that we are more easily swayed. Can’t really say this is fundamentalist, since what is trusted in not a word, not money, not institution, but the person.

(Things get a little confusing if we think too critically. For example, our minds might come up with more complex cases such as trusting an individual in an institution (I trust my friend who is a *anker) or trusting an individual because of the institution (I trust the clergyman with my child because I believe in jesus).)

Note, negative negatives, or not negatives, or double negatives are not bad, they are just stuff of the mind, scaffold constructions, based on logic and reasoning, whereas we need to actually be imaginative and make up stuff and try stuff out. We can’t just look at the alternatives in a “negative-minimising” way. We must be courageous and do new things together — trust faster and deeper and thus make deeper decisions. For us all collectively, we must be positive, but only slightly so. Non-zero in a positive direction. Perhaps it is best to say it is simply experimental. Not positive, just willing to see what happens, allowing, enabling, being responsive.

Thus the decision is a test, a true test to our selves and our children and their children’s children because such a test will be asked of them for this system that we enable must be capable of existing for millennia. A sustainable planet and all that this entails means a living participation, which means wholesale consensus as we have seen. This is less to do with probability as we know it and more a way of dealing certainty in a subjectively integrated way. And for this to happen we need equal diversity in terms of behaviour and moneyflow

And, isn’t it true that money is probably the most influential factor on human behaviour? Which means, altering the basic math of money will generate a completely different effect on social behaviour? Part of which will involve introducing people who are following the money, to examine the thought experiments you’ve just read. And thus, to be invited by someone trusted and recommending to someone trusted. That is all, just one person.

The catch, if there is any catch, is that it must happen this year, and if that was fun, two invitations the following year and increasing by one each year (and this is related to another post which involves the math of social unity).

Given the info, your decision is all that matters. And collectively, your decision is all that matters. This is a test of adulthood, for us as human individual beings, and for us as a whole species since we have grown from civilised babies to young adults.

What shall your decision be?

What is your decision?

What is your decision to be?

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