4 - The identification of the fourth point of nothing
The next two-oneness offers two -and no more than two- possibilities: the next point of nothing can be chosen to be in the D2- plane of nothing or be not in that plane.
The first possibility identifies this “fourth” point of nothing on the 1D1- line or X- axis, its beta-symbol being “ P4 ” and when the oercondition of un-ambiguity is respected, the
D1- distance between P4 and P3 must be equal to the initial chosen distance between P1 and P2 or to Ð1 as smallest possible distance in the process of creation.
But first of all it is necessary to understand how an object in D3- space can be shown in the D2- plane of the paper or on a D2- screen.
4.1 - Drawing objects in space requires one point of view
It is quite simple to show a D0- point of nothing or part of a D1- line of nothing "in" the
D2- plane of the paper being part of its D2- surface, but the new third direction presents the problem
“how an object in D3- space can be presented in the D2- plane of the paper?”.
Most likely you don’t remember that you did encounter the same problem when you opened your eyes for the very first time.. But now the start with nothing did show that you can’t see one D0- point of nothing because it is sizeless ans massless, the ”line of sight or vision” actually being a D1- line of nothing, pointing to a D2- surface, being the nearest D2- surface which is not hidden by other ones... And only much later you can learn how there are “billions of small particles of air” between your eyes and this observed
D2- surface, fortunately too small to be seen... And by moving you head you learn why all behind that observed surface might be invisible, but it actually does exist. Fortunately the small D1- distance between your eyes allows your brains to learn a few tricks to learn to see in space. And although there is no objective method to define the direction of a
D1- line, the line between your two eyes is used as reference being parallel to the horizon of the sea when your body is in upright position, this also explains why -in the Western part of the world- the direction of writing on paper is also horizontal, parallel to the top side of the paper. And usually the first D1- line or later X- axis is also horizontal. All this is needed when the second possibility shows you the secrets of space.
The second possibility identifies “the fourth point of nothing not on the 1D1- line of nothing” and not in the D2- plane, hence it can only be at one of the two -and no more than two- “sides”. And similar to P3’ symbol P4’ identifies one unique 3D1- line which starts in the same zero 0 as origin of X- and Y- axis, going in a “third” direction not in the D2- plane.
Did the second direction of the Y- axis allow its own unity of “breadth or width”, the same is valid for the Z- axis in its third direction, three parallel D1- lines on the other corners of the parallelogram in the XY- plane now define a “parallelepiped” which allows to quantisize a “volume” as part of the boundless, unlimited and infinite D3- space, but at one side of the XY- plane, at one side of the ZX- plane and at one side of the ZY- plane...
When for the same reasons of symmetry the direction of this Z- axis is perpendicular to the D2- plane, being perpendicular to X- axis and to the Y- axis, the same unity of distance on this Z- axis now defines the “cube”, the smallest possible one being quantisized by the third operation in mathematics called “powerlifting” which turns out to be just an efficient way to repeat multiplications in this new third direction, subjected to the condition that the unity of surface as “base” must always be the same.
Since Ð1 as oerdimension defines & quantisizes the smallest possible base 1 Ð1 x 1 Ð1 in its D2- plane as identity of the second power, this repeating multiplication in the third direction will lift the second power of the square 1 Ð1 x 1 Ð1with one unity, showing the “cube” as unity of volume in Euclidean-space, definde by its three perpendicular axes, quantisized as a volume of 1 Ð1 x 1 Ð1 x 1 Ð1, the smallest possible unity, from now on being the standard.
4.2 - No trespassing of zero “ 0 ”
When is realized how this method only unifies parts of the volume at one side of the
XY- plane, the ZX- and the ZY- plane, it is seducing to pass the non-natural (counting) number and invent “negative numbers” but there is consistent series of two-onenesses since the start with nothing didn’t show one which would offer that possibility, an important indication which can’t be denied & darkmooned..
Now each operation, unifying by adding, unifying by multiplying and unifying by powerlifting are inseparably related to their own direction in D3- space, these three directions must be independent of each other, hence being perpendicular. So the next conclusion must be that the boundless, unlimited and infinite length of these three
D1- lines indeed define all space there is, even when its volume never ever can be quantisized because of these same characteristics...
Although all alpha-words of all definitions are correct & unambiguous, the relation between the three mathematical operations can only be quantisized when the logistic order of nature is respected, a process which took more than 800 years after the invention of the non-natural (counting) number zero 0 and a new method was found to show such beta-relations.
4.3- The importance of “watching the power of powers”
It was the French mathematician and father of modern philosophy Renée Descartes [1596 - 1650CE] refusing to accept authority of previous philosophers, but his statement in Latin “cogito ergo sum” is best translated as “I think, hence I am in doubt”, now completed by “which part to chose of a two-oneness”, all leading to the Renaissance as Rebirth and French “laïcité”: secularity as absolute separation between religion and state. After analysing the works of Galilei, he started his “Géometry” in 1628CE arriving at the same conclusions, the consequence being that he better did escape to the Netherlands to be safe for the Inquisition of the Roman Catholic Church where he published in Leiden his famous “Discours de la Mëthode pour bien conduire sa raison er chercher la vérité dans les sciences “including his “Géometrie”.
Descartes introduction of algebraic letters like a, b, c etc. for “known” variables and x, y, z etc. for “unknown” ones did allow “analytical geometry” by expressing geometric forms, shapes and figures in an algebraic form”. Applied to Euclid’s flat D2- plane this was leading to his “Cartesian coordinates, later generalised with ambiguous consequences as will be detailed in chapter 7 disclosing the need to purify some alpha-words as used in mathematics.
He also introduced today’s method to apply natural (counting) numbers in a “lifted position” to define & quantisize the “power or exponent” of the term on the baseline. When this method was extended to letters, the general formula confirms how “powerlifting or exponentiation” indeed shows the repeating multiplication of a p x a q x a r = a p + q + r, its unified power being “the addition of the power of each term”, also showing also the condition “that the base of each term must be the same”. It is this method which will allow to define & quantisize the three mathematical operations by using same alpha-words.
It is remarkable that Descartes, like Leibniz and many others did not accept “negative” – distances and since there are no higher power in space than the third one, “as you can see & verify with your very own eyes”, the realization how all D1- lines or axes in all three directions are actually boundless, unlimited and infinite long, it is amazing that Descartes came to the conclusion that
“Universum” as identity of the third power is all D3- space there is...
Descartes’ separation of body + mind and a secular// laic// non-clerical state which is separated from the clerical church, often is described as “duality” which would be opposed to non-duality as known in many Far Eastern religions, but analysing all kinds of descriptions does not show “unambiguous use of alpha-language which is also completed by beta-symbols, -formulas and –relations” as required since the Natural Start of the Beginning, also presenting its un-ambiguous oerconditions in an undeniable way, hence the alleged two-oneness of (dualism + non-dualism) is offering no contribution.
After Descartes’ notations of power, the final consequence must nevertheless be that “cubic space” is located at one side of the XY- plane, at one side of the XZ- plane and at one side of the YZ- plane...
Fortunately the oerconditions do show the solution: since the choice of that local non-natural (counting) number zero, 0 has been arbitrary, this means that there is actually a boundless, unlimited and infinite quantity of them, hence the oerconditions command just one unique & unambiguous very special non-natural (counting) number zero 0... confirming “how something has gone wrong in Euclid’s geometry”, also reminding how
each one of the three mathematical operations
is subjected to its own conditions
SUMMARY I
Now D3- space is identified, Descartes’ notation of powers allows to describe present results in realtio to the oerconditions to which they are subjected, using as much the same alpha-words and -sentences:
D0 - identifies a point of nothing by its zeroth power, quantisized to be sizeless’): [ L 0 ]
D1 - defines the distance between two -and no more than two- D0- points of nothing,
defining one unique & unambiguous D1- line of nothing. This also quantisizes
part of its boundless, unlimited and infinite length, shown by its first power: [ L 1 ]
Once a non-natural (counting) number zero 0, has been chosen each
D0- point of nothing on the D1- line is identified by a natural (counting)
number which quantisizes the (total) length to zero 0.
“Unifying by adding” is the first operation in mathematics, the symbol of
instruction belng “ + “, quantisizing the total distance or length to a locally
chosen non-natural (counting) number zero 0.
When other dimensions, characteristics, identities or entities etc. etc. are identified
-much later after tha natural start with nothing, they can also be unified by addition,
subjected to the condition that all unities do have the same physical [ dimension ].
In other words: adding apples + pears is not allowed....
D2- identifies one unique & unambiguous D2- plane of nothing, revealing the
impossibility to define & quantisize the direction of a D1- line in an objective way,
but when a second D1- line is identified, being perpendicular to the first one,
intersecting the chosen non-natural (counting) number zero 0, the chosen unity
of length in one direction and the same unity of “width” in the other (perpendicular)
direction allows to quantisize part of the surface of its boundless, unlimited and
infinite surface as second power [ L 2 ]
This second operation in mathematics allows "to unify parts of this
boundless, unlimited and infinite D2- surface” which is just an efficient
method to perform a repeating addition in the second direction.
its instruction being a rotated plus “ x ” or a bold dot “ . ” when confusion
with letter x might arise.
When -much later- other dimensions, characteristics, identities or entities etc. etc.are
identified, this operation of multiplication is not subjected to whatever conditions,
there is an absolute, unrestricted freedom...
D3- identifies one unique & unambiguous D3- space of nothing, confirming the
impossibility to define & quantisize the direction of a D1- line in such D3- space
in an objective way.
Only when a third D1- line is identified, being perpendicular to non-natural
(counting) number zero 0 as intersection of the two perpendicular D1- lines
which did define & quantisize the D2- plane, the same unity of “height” in
this third direction allows to quantisize part of the volume of its boundless,
unlimited and infinite large space, by “powerlifting” or “exponentiation” which
is just an efficient method to perform a repeated multiplication in this third
direction, arriving at the third power of D1 as geometric identity [ L 3 ]
And in perfect opposition to the absolute, unrestricted freedom to multiply whatever
you like, the operation of powerlifting is only allowed when the base of each term is the same...
‘) the symbol of the geometric identity of distance or length is a bold capital L because
M is reserved for mass, reminding you that all powers of L are “no thing”, which is perfectly
opposed to M as symbol of preliminary identified “some thing, which is enclosed by some
D3- volume”, containing mass or matter waiting to be defined &quantisized.
Since the Natural Start with Nothing Descartes’ Universe as all space there is, is based on
just one oerdimension Ð1 defined & quantisized as smallest possible unity of distance or
length [ L 1 ] in the process of creation, even when its volume never can be quantisized.
But the undeniable conclusion is that such boundless, unlimited and infinite large volume is only identified at one side of the XY-, XZ-, and YZ- plane, just one of eight seven being at the other sides of these three planes, a direct hint that there must be another solution, making the suggestion of “existing multi-versa” a “cerebral aberration of some human beings”.
Anyway next impossibilities must be accepted:
- there is no two-oneness which allows “access” to parts of a D1- lane which are at the
other side of the non-natural (counting) number as local zero, 0, on a local D1- line,
- there is no two-oneness which allows “access” to parts of a D2- plane which are at the
other side of the two perpendicular D1- lines//axes in that plane,
- there is no two-oneness which allows “access” to the other side of that D2- plane where
P4’ has been chosen.
- there is still no objective method to define& quantisize the direction of a D1- line in a
D2- plane or in D3- space...
This problem is even more intriguing when the 19th century will show that there is no
objective method to define & quantisize the identity of a “positive” pole of a natural
magnet”, just as there is no objective method to define & quantisize the identity of a
“positive electric charge”...
This also means that any new dimension -as identified by human beings- can always be
symbolised by a suitable choice of “one unity of distance or length, width or height”, whereas the impossibility to define & quantisize a direction in an objective way can be replaced by some chosen reference.
In algebra the special role of the non-natural (counting) number zero 0, is lost hence in
other sciences like physics the restricting condition of “unifying by adding” is also lost
when the direction in a D2- plane or in D3- space is lost and the same is valid for all higher powers, hence:
4.4 - Projections are reducing powers
Another way to come to understanding of "perspective" and the consequences of three
independent and hence "perpendicular" directions "at the right angle", is emphasizing the
importance to watch the power of powers. When an object in D3- space gets projected on a flat D2- plane, this operation shows that all D0- points of nothing on each D1- line which is perpendicular to that D2- plane will loose their identity, showing only the D0- point of
nothing of intersection, the rest being denied & darkmooned, being no longer visible.
This is the secret of all objects in D3- space, the secret of "seeing and being seen" only accessible when one cycle of the process of creation has been defined & quantisized as in Part II.
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