THE APPARENT DISTANCES BETWEEN THE STARS
AND GALAXIES OF THE WAAM.
The cosmos is a decadimentionnel space-time continuum, curved in its entirety and forming an opposite hypersphere (i.e. with two radii of the same length but inversed.). But, in addition to this immense universal curve, it is subjected to two more curvatures:
It is impossible however to represent these curves graphically (because
on a surface one can only draw three-dimensional images). However we will
try by using coloured pencils.
Thus view with reserve such drawings which only serve a didactic purpose.

D45_FIG1
Image A shows how we humans see or appreciate a " fragment " of SPACE in which there is two astral bodies (for example EARTH and UMMO). The dotted line represents the apparent shortest distance, that is, that which a beam of light would follow (i.e. a beam of IBOAAAYA or PHOTONS) or well one of your radio-controlled projectiles.
Image B shows how this immense space can be curved through a fourth dimension. These immense " folds " of space vary constantly, as the wind folds one of your cloths spread out on the ground, and they are due to the inter-influences of the U-WAAM (our twin cosmos we referred to in another document).
There exists however other much smaller curves: small folds or wrinkles which one can identify as what our senses perceive as " MASSES ".
The Galaxies, and inside the astral bodies, the human body, a stone, are only small " hollows " or curves of space through a fourth-dimensional axis (see image B).
You can see that Earth scientists identified the general curvature of SPACE and these small mass-curvatures, but they are unaware of the large variable folds which we have just mentioned.
As you can see, the solid line in image B or C will thus represent the TRUE SHORTEST DISTANCE (ideal for space flights) in this tetradimensional space.
When the radius of this curve is large, (image B) the two lines have almost the same length and space travel will still take a very long time, even at speeds approaching that of light.
But if the curve is marked, (image C) the solid line will be much shorter
than the dotted line (line of propagation of light).

D45_FIG2
In the images D and E one can distinguish two types of ideal lines.
IISUIW: Isochronous Lines (NdR: - and solid lines) which represent
the true shortest line, that of path of light, and other intermediaries.
The IISUIW (isochronous lines) are characterized as follows: two observers
1 °and 2 ° verify that TIME is synchronous. On the other hand for
1 °(or 2) °and 3°, located in different IISUIW, TIME passes
in a different way.
USDOUOO: Isodynamic Lines (NdR: in D, hyperbolic on a vertical plane
and -----, practically parallel in a vertical plane in E), you can
see that in image D they are divergent and in image E, parallel.
It is only when the USDOUOO or Isodynamic lines do not converge or do not diverge, i.e. that they are parallel (image E), that our scientists are aware that the distance to another star is tiny and that they can move through this IISUIW (isochronous) with our OAWOOLEA UEWA OEMM (spaceships).
[ NdR: These drawings, in colour in the original, are not easily
comprehensible. This text associated with the drawings expresses the idea
that when space is strongly folded, in such a way that the isodynamic lines
become parallel or divergent (represented as convergent in drawing D),
the two stars are in fact closer (represented by a fine line on drawing
E) than the trajectory of light represented as a " bell " by a thick line
].
But this curvature of space undergoes periodic modifications generated
by the influence of the U-WAAM. Today it may be possible that our planet
UMMO is closer to the planet Earth than to the star ALPHA CENTAURI, and
that has in fact occurred several times.
D45_FIG3
Image F will help to understand that. Under normal conditions, IMAGE F, the distance between Alpha Centauri and the Earth will be around 4,4 light-years. On the other hand IUMMA and UMMO (OUR SOLAR SYSTEM OF WOLF 424) will be separated by more than 14 light years (from the Earth ndt).
But if (as the image G indicates it) space is curved, it can happen that the real distances vary in favour of the distance which separates us from UMMO. If the trajectory of LIGHT did not vary, for astronomers and for possible space travellers on the voyage to UMMO, the time of the voyage appears longer to them than to travel to the nearest star: Alpha Centauri.
Excerpt letter D58 (1967)
You know that one of the attributes of the electron is mass. When the mass of the electron describes a harmonic vibration, it creates under certain conditions gravitational waves with a loss of equivalent energy. Under these conditions the electron disappears, to be transformed into what you call another subatomic particle, but such a particle is unknown to you.
Thus: The permutation of a particle into another, that which you have
already observed but that you cannot yet control, is only a change of axis,
that is to say a change of dimension. When the mass of a proton, for example,
disappears in front of you to convert itself into energy, what actually
happens is that your Axis has undergone a 90 ° rotation through the
Axis of the traditional dimensions of Space. But this concerns only you
and your system of reference, for another observer from the point of view
of a fourth, fifth or sixth dimension, will observe exactly the opposite
phenomenon: energy concentrating to form a particle which would be called
proton.
Actually you are living in your physics laboratories, which were dreamed up as much by authors of science fiction as by physicists: At the moment you will manage to control, as we do, the homogeneous inversion of all the subparticles of the human body or of an object, this must be interpreted as the passage from one system of reference of three-dimensional space to another, just as three-dimensional, but different from the first. Actually it is less fantastic than you imagine and different from all that has been imagined by the futuristic writers of your planet.
In the document that we gave you concerning the creation of the WAAM and U-WAAM (two cosmos), we referred to the interaction of the two Universes, an obvious interaction, by means of forces and interferences which you have not discovered yet.
The astrophysicists of the Earth have just detected (NDR: letter received in 1966) the presence of unknown forces which until now were underestimated and ignored. It is our wish that this first step towards the discovery of the U-WAAM be fruitful.
Today we know that there is not one Cosmos (ours), but an infinite number (NdR: The Ummites sometimes use " infinite " to mean " many "... caution!) of " PAIRS OF COSMOS ". There is thus the duality which also exists in the cosmological geneses. The difference between elements A and B of each pair lies in the fact that their respective atomic structures differ in the sign (positive or negative) of their electric charge. (you incorrectly use the terms matter and antimatter).
For example our twin Cosmos also exists but:
1) in its atoms there are positive electrons (positrons) orbiting a nucleus of antiprotons.
2) these two cosmos could never be in contact, and to believe that they can be superimposed does not make sense, for they are not separated by dimensional relations, (i.e. to affirm that they are separated by X light-years or that their existence is simultaneous does not make sense).
3) the two twin cosmos have the same mass and the same radius corresponding to a Hypersphere of negative curvature.
4) but the two twin universes have different singularities (in other words: in our twin cosmos there is not the same number of galaxies, and those which are there do not have the same structure.) There is not thus another twin UMMO nor another twin EARTH as one could believe. This last conclusion is not hypothetical and we will give you its justification.
5) the two cosmos " were created " simultaneously but their arrows of time are not directed in the same direction. That is, it is illogical to say that this cosmos coexists with ours in time, or that it existed before or will exist afterwards. One can only say that it exists: but not now, before or later. On the other hand an interval of evolution can be parallel or equal to ours.
One could say the same thing for the infinity of pairs of Cosmos which
exist in a pluri-cosmos. One can say that the concept of a Pluri-cosmos
cannot resemble a Universe (in the sense of Cosmos). In the latter, the
galaxies move like floating islands in an immense sea. Only this " sea
" is a sphere with multiple dimensions, on the other hand one can speak
about intergalactic distances and even about gases which fill intergalactic
spaces.
However it is much more difficult to imagine the U-WAAMWAAM (pluri-cosmos), for the pairs of cosmos are submerged in NOTHING. It is useless to imagine that there are distances, or that these distances are zero. Such an image would be false.
But there is something which struck our scientists when they discovered it: our twin Cosmos exerts its " influence " on ours though they are not linked by space-time relations. Thanks to the analysis of this influence, we guessed the existence of the other universe. By inference, our Cosmos must also influence the other under the same conditions.
The asymmetry of this influence revealed to us that this Cosmos has another distribution of Galaxies. The analysis of the current phase of our Universe reveals to us how it was generated by WOA.
Our Cosmos is what you call a space-time Continuum (we needed 10 dimensions to define it mathematically). We could speculate by allotting an infinity of dimensions to it, but we are unable to prove it.
Of these ten dimensions, three are perceptible by our senses and a fourth - time - is perceived psychologically as a continuous " flow " in the single direction which we call UIWIUTAA (arrow or directed direction of time).
In the beginning our two twin cosmos: WAAM (ours) and U-WAAM (our twin) were defined by a WAAMIAAYO (difficult to translate: point or origin of only one co-ordinate which would be time). WOA created the remainder of dimensions successively but do not interpret this " successively " as a temporal or spatial succession, but as an ordinal, achronistic relation " ordered " outside of time.
You can imagine that our primitive Bi-cosmos resembled more a small empty sphere. A small universe without Galaxies, without intergalactic gases, with only space existing in time, and WOA curves and bends this space. Each " new " curvature determines a dimension and finally, WOA " folds it ". Here we are using a comparison, a symbol, for one could express this correctly only using mathematics. For example the expression " to fold space " appears simplistic, but it is very didactic.
If we curve a three-dimensional space, if we fold it, or if we make a sort of hollow through the fourth dimension (NdR: this 4th dimension is not time.), this curve represents what our senses interpret as mass (a stone, a planet, a galaxy).
Thus WOA damages this microcosmos in creating mass; nothing less than almost all current mass of our two twin universes concentrated in a very reduced space. Matter and antimatter (as you call them), are super-concentrated.
There was then a DOUBLE EXPLOSION-IMPLOSION. In the implosion, matter and antimatter (i.e. positive and negative atoms) are violently attracted to each other without ever meeting. They are two wholes, two universes, WAAM and U-WAAM which will never be able to meet for they are not separated by spatial relations. Thus when we say that they attract each other, the verb " to attract " must be understood in the sense of inter-influencing.
In addition, there was explosion. Indeed: the immense mass of each Cosmos split up into particles and these fragments, brutally expelled millions of years ago (NdR: translator's error??? Does he mean billion), make up today's Nebulae or Galaxies, which move today at an ALMOST CONSTANT SPEED.
We underline this " almost " at the time when your astronomers judge that speed must be constant or uniform, basing themselves on two false assumptions:
- the displacement of the bands of the spectrum, in the galaxies observed, is CONSTANT and is directed towards RED.
- It seems logical to think that if nebulae are not propelled by a Field of Forces, - for they result from an initial explosion of the universe - they will move with uniform speed.
But these two premises are false.
1) your instruments are not very precise; if they were, you would have observed that the shift of the bands towards the red IS NOT CONSTANT, it is a nonsinusoidal periodic function of almost unperceivable but APPRECIABLE amplitude.
2) you did not take into account that our twin Cosmos exerts an " influence " on our galaxies. Precisely on UMMO, as we will indicate to you, we discovered the IWAAL (NdR: No translation suggested in the text. Does it mean the fold?) on the basis of these interferences. This interaction prevents our nebulae from moving with a uniform velocity. (velocity - acceleration).
Thus the measurement you make of the age of the universe is inaccurate,
for you use as your parameters this pseudo-constant speed of the galaxies
and their distance compared to the EARTH, and further that if NOW the speed
is almost constant, in the first moments after its creation the acceleration
(a sinusoidal function) would have had an enormous amplitude.
What will be the end of these twin cosmos? Taking into account that
WOA continues to create matter inside each Cosmos, the degradation of mass
into energy is much faster.
There will come a time when the two universes will be reduced to a hyperspheric
space-time continuum of negative radius, but, NOW (NdR: that day), it
is of infinite magnitude, lacking concentration of masses, i.e. without
Galaxies, curvature and " FOLDS ".
Only a continuous and isotropic propagation of radiations of the same frequency, for, NOW, the multiple sinusoidal functions created by WOA will be in phase and these stationary waves will have ceased, these troughs of crests that our senses interpret respectively as " VACUUMS and MASSES ". There remains only an ocean of waves, of decreasing amplitude until the final death of the " cosmic pair ".
But on UMMO we are aware of this creation. How can ATHEISM develop?
If the universe were eternal, it would already have ceased to exist.
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