First a little pseudo scientific babble to sort the goats out from the sheep.
A thought experiment: imagine an infinitesimally small dimensionless point. Double this nothingness once and it’s still a nothingness but double it an infinite number of times and it could become an infinitesimally small ‘something’? The difference between an infinite amount of nothingness – the virtual – and this ‘something’ possessing the attributes of existence – the actual – being the acquisition of position or location. From being a zero-dimensional nowhere it has become a zero-dimensional somewhere. This progression is the subject of ‘0 Book 1’.
Now take this infinitesimally small yet immaterial something and again start doubling. From one point to two points, to four, exponentially incrementing the number of points towards a line of infinitesimally short extension or length. This would represent stage two, as represented by ‘1 Book 2’ of this Work, the emergence of the first of the three spatial dimensions. A point delineating and expanding into a line or vector of no length or direction.
Books ‘2 to 3’ & ‘3 to 4’ expand on this theme, the vector of no length incrementing until it becomes a plane of no width, the plane incremented until it materializes as an infinitely small embryonic space or solid. ‘4 Book 5’ completes the experiment with the materialization of this imagined dimensionless point in three-dimensional space. A dimensionless point about to enter the fourth dimension, a threshold where the first dimension of time has been reduced to the duration of a timeless instant.
Yet, and this is the conundrum, the very thought of this dimensionless virtual particle is infinitely more substantial than the actuality being conceptualised. As a fleeting thought it exists in the first dimension of time and if doubled an infinite number of times would become the nascent centre of its own limitless – if imaginary – universe. Matter spews out, undergoes chemical bonding, becomes organic, self-conscious and finally intelligent enough to conceive and perform this experiment. Which begs the question, just how infinitesimally brief do we need to make the bifurcation period to stop this happening. And since it’s happening anyway, where and when does it stop?
To attempting to visualise the evolving geometry of dimensional increase I’ve been forced to adopt representational conventions. These derive from and are perhaps intrinsic to the obvious restriction of working on a flat two-dimensional surface. A constraint further compounded by the impossibility of portraying a length of no thickness let alone a point of zero dimensions.
Imagine a line, divide it in two, divide it again into four and then think of this as your x axis, Repeat again for the y axis and you should now how a grid that divides a square into sixteen equal portions.
If the two axes are scaled from 0 to 4 it is then possible to identify 25 points of intersection with values ranging from 00 to 44, where the first and second digits correspond to positions along the x and y axes respectively.
These are strictly speaking non-dimensional co-ordinates but in the spirit of this work let’s assume they possess the attributes of existance in three-dimensional space – my first convention.
So, to navigate around this work, let’s consider each of these co-ordinates as being represented by a drawing or, to use the venacular of this work, verses. In following this metaphor a sequence of five verses along one axis would be a “chapter” and the grid as a whole, a “book”:
…. and since the work as a whole concerns the emergence of a dimensionless point in three-dimensions, let’s reveal the work in full, all 125 verses – 5 per chapter, 5 chapters per book, 5 books in all – through co-ordinates 000 to 444, each verse defined according to its position with respect to the x, y and z axes. An unimaginable location finally endowed with the attributes of spatial presence, the map if not the territory.
To navigate around this work I provide the three options above (later doubled for the backward and forward movement). Move systematically from one verse to the next or skip backwards and forwards a chapter or book at a time.
There is no right or wrong way of viewing this work. In the final analysis it’s only a pretence, a creative imagining of the truth, conceived in the throws of artistic license. Think of it as an imaginary map for an imaginary journey, not the territory itself.