Ummite Physics and Metaphysics
"The Essential Texts"
 

 
 THE CONCEPT OF IBOZOO UU

  The WAAM which we know is a BOUND SET (AYUU) or NETWORK Of IBOZOO UU

It is necessary to give you the most faithful representation possible of the true nature of the IBOZOO UU, which has nothing to do with MATHEMATICAL POINT, nor with a PARTICLE, nor with a QUANTUM of energy according to Earth conceptions. You must thus rid your mind of familiar images such as the POINT and linear DIMENSION.

If you have a mathematical background you know the concept of HYPERSHERE in N SPACES.

We can represent such a geometrical body analytically. Its corresponding equation is familiar to students.

If we represent the magnitudes defined in N axes by a1, a2, a3... aN. The ray of the hypersphere will be defined by:

 

D59_FIG9

 
As we cannot represent such a HYPERSHERE graphically, we will suppose a three-dimensional SPHERE whose axes are directed orthogonally. We try to choose a (symbolic) mathematical model which represents the IBOZOO UU. Keep in mind: when we refer to a radius vector for example, do not suppose that this ray physically materialises inside the IBOZOO UU.
 

 
D59_FG10

 

We consider in the sphere of figure D59_FIG10 an OAWOO (with this name we refer in the sphere to the Earth idea of AXIS, as well as that of the VECTOR, with its attributes of modulus, origin and extremity). In this case you would translate OAWOO as radius vector U, whereas the IOAWOO is an angle

If we consider a HYPERSPHERE with N dimensions, we can conceive as many other OAWOO (RADIUS VECTORS) as there are dimensions.

That is to say U1, U2, U3... Un, whose respective orientations are orthogonal, i.e. that they form the angle of p/2 between them.
 

Viewed thusly, the IBOZOO UU could be interpreted as a closed multidimensional space, and you would start again to imagine it having its points, lines, planess, hyperplanes, immersed volumes and hypervolumes. Nothing is further from the real concept of the IBOZOO UU. When we refer, within the IBOZOO UU, to an OAWOO (AXIS) and its orientation, it is clear that such an orientation does not make geometrical sense without a frame of reference.

Thus when one of you pictures a line in space, it must be defined in terms of a system of axes (which you call Cartesian) so that the line is defined by its modulus (expressed by six sides of the axes) and by the cosines with the axes: Cos(Alpha), Cos(Beta) and Cos(Gamma)

 

D59_FG11

 

But you can see that this system of reference was selected arbitrarily within Euclidean Space which you imagined. It is very important that you see the difference compared to the IBOZOO UU.

It is not possible to choose a system of reference within the IBOZOO UU itself. Such a system of reference must be in relation to another IBOZOO UU, arbitrarily selected. (Thus in figure 11, if we suppose two IBOZOO UU (P) and (H), it would be nonsense to refer to the cosines cos(Alpha) cos(Beta) cos(Gamma) that the OAWOO UU forms with an ideal trihedron whose origin would be the " CENTER " of the HYPERSPHERE H.

Thus we can to only refer to the angle Theta IOAWOO that Ur of H forms with the OAWOO (RADIUS VECTOR) Ua of P.

It is precisely this IOAWOO Theta (ANGLE - DIMENSION) that bestows all the exceptional qualities on the IBOZOO UU.

It will be necessary as of now that you make a mental effort to carry out a psychological shift so that each time in physics that we speak of MAGNITUDE, the image of a SCALAR does not spring into your conscience, instead of the IOAWOO (ANGLE that the hypothetical radius vectors of two IBOZOO UU form between them).

It is nonsense TO ISOLATE, in an effort of mental abstraction, an IBOZOO UU in order to study it. We COULD EXPRESS it , by translating the POSTULATE known to our physicists: AN ISOLATED IBOZOO UU DOES NOT EXIST.

That this postulate violates the traditional proposals of what Earth people call MATHEMATICAL SET THEORY. Since if I belongs to W, element I (IBOZOO UU) belongs to the set W (WAAM), the isolated element I is:

 
I = Æ (an IBOZOO UU CONSIDERED AS A SET IS EMPTY)
 

We will explain a little to the OEMII unfamiliar with mathematics: naturally an IBOZOO UU is not " VISIBLE ", even using the most sophisticated laboratory instruments imaginable.
You can however object: How the scientists of UMMO know that this entity exists if they cannot detect it? The use of the word " detect " is inappropriate here. If we managed to deduce the existence of the IBOZOO UU, it is because the physical model worked out by its supposed existence answers all explanations and problems regarding the behaviour of Matter and Energy and, what is even more important: it offers a plausible explanation of extrasensory phenomena and telepathic communications through the BUUWEE BIAEEI (HUMAN COLLECTIVE SPIRIT).
 
 Though such entities are not visible, for the purposes of comprehension, one could represent the WAAM as an immense network of small spheres (D59_FG12), each one of them being an IBOZOO UU.

They are each of a different colour, but inside a set of colours we could select all those that differ by a shade of the same colour; a different shade of green, for example).

D59_FG12

From this metaphor (coloured spheres), we can say that that the set of IBOZOO UU are differentiated not only by the angle IOAWOO, but also by their respective OAWOO (radius vectors) which they form with one of the IBOZOO UU taken as a reference, but whose field of rotation is the HYPERPLANE H (since we cannot draw a hyperplane, we will suppose in the D59_FG13 that it is about a meridian plan P (NdR: sketch missing) .

The IBOZOO UU whose radius vectors turn in another meridian plane are codified by another colour. Orange for example; D59_FG13 (missing figure)... (NdR: we found the Spanish translation of this somewhat sibylline paragraph; we nevertheless reproduced it here as is)

If we select, as we said to you, all the IBOZOO UU that exist in the WAAM to which we attributed the colour green, we would observe that, ordered mathematically, they would form an OXOOIAEE (chain of IBOZOO UU):

D59_FG14

In other words: having considered the IU belonging to W (subset of W), we can establish a one-to-one mapping between these IBOZOO UU of the OXOIAEE (CHAINS IN the SHAPE Of RINGS) and the infine number of angles which a radius vector can describe in a plane.

It is not that such IBOZOO UU form an endless chain in the WAAM and are topologically located in an ordered series. NO, it is our senses, as we will explain further, that carry out this task of ordering. (a Earth example will help you better understand: when you evaluate the amount of money in a bank account, you can represent the dollars, pounds sterling or pesos in an order, so that you can count them. But this ordering, you know that it is an illusion).

The immediate components of this chain D and P differ between them as the infinitesimal angle d phi (in figure D59_FG14, we have exaggerated the magnitude of d phi for purposes of comprehension).
 

 
 
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