That is very interesting. The mention of a cube converted into four dimensions:Thank you for sharing the document. It is very helpful as I'm currently revisiting the topic of prime numbers from a geometrical point of view.
The tetractys made me think about the 4D matter-antimatter matrix mentioned by the C's:
Prisms are interesting.
View attachment 82818
There is this duality, this mirror between matter and antimatter as if they were always linked through a 'tunnel.' Of course, this is in 3D, but what would the 4D symmetries reveal? And how does the prime number 7 geometrically 'spawn' from the primes 1, 2, and 3?
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Q: (A) Okay, as you repeatedly mention this ‘matrix,’ I want to know exactly what your definition of ‘matrix’ is?
A: Picture a perfectly symmetrical three dimensional parallelogram.
Q: (A) It’s a cube.
A: Yes, now convert to 4 dimensions, and you have the mathematical representation of the matter-antimatter matrix.
makes me think of the tesseract, which is a four-dimensional analogue of the cube; the tesseract being thus to the cube as the cube is to the square.
It is the four-dimensional hypercube, or 4-cube as a member of the dimensional family of hypercubes or measure polytopes. As a regular polytope with three cubes folded together around every edge, it has Schläfli symbol {4,3,3}. Coxeter labelled it as the �4
polytope. The tesseract can be unfolded into eight cubes into 3D space, just as the cube can be unfolded into six squares into 2D space. See: Tesseract - Wikipedia
As I said in my last post, I have not quite completed my article on the sacred tetractys. Where I said at the current end of the article:
"It is for this reason that Farrell argues the Great Pyramid of Giza was deliberately conceived by its builders as a higher dimensional analogue",
I should have gone on to say:
"for it was built as an example of "squaring the circle" and "cubing the sphere" and thus according to the very technique of higher-dimensional geometry."
However, here we are "cubing the square" and then converting the resulting cube into a tesseract in four dimensions to form what the C's say is a mathematical representation of the matter-antimatter matrix. I attach a link below to a gif, which shows how you move from the straight line ultimately to the tesseract, as you go through the dimensions, demonstrating the Pentactys in action.
In your previous post, you reminded us of how the C's suggested to Ark to produce a pyramid type graph incorporating prime numbers:
Q: Is there any formula, or any thing about prime numbers that makes it easier to find them... anything about them that is unique?File:From Point to Tesseract (Looped Version).gif - Wikipedia
en.wikipedia.org
In your previous post, you reminded us of how the C's suggested to Ark to produce a pyramid type graph incorporating prime numbers:
A: Pyramidal.
Q: Pyramid relationships would help one find prime numbers?
A: Graph.
Q: A pyramid type graph. Okay, anything else about prime numbers? When you said that they were the 'dwellings of the mystics' I had an idea that a prime number could be a dwelling of a mystic because the individual would express in some manner a frequency that related in some way to a prime number. Is that somewhere along the line...? That mystics can traverse all densities because of frequency?
A: Something like that.
I am no mathematician but Coxeter appears to have produced graphs based on orthographic projections of a tesseract. Is this the sort of thing the C's had in mind here? If so, how do you fit prime numbers into this?
Coxeter plane | B4 | B4 --> A3 | A3 |
---|---|---|---|
Coxeter plane | Other | B3 / D4 / A2 | B2 / D3 |
Graph | |||
Dihedral symmetry | [8] | [4] | [4] |
Graph | |||
Dihedral symmetry | [2] | [6] | [4] |
However, the C's linked prime numbers to sound as well:
A: In prime numbers, you will find resonance.
Q: Resonance in prime numbers? Can you please elaborate a little bit on that?
A: Elaboration is not needed because the answers are there for you already in the texts, as with so much else. One needs only listen to the “music to your ears.”
Q: Why didn’t you answer my question about putting prime numbers around a pyramid?
A: Mathematics converts to sound in geometric measurements. Why do you think the pyramid became a pyramid?
Hence, we need somehow to plug sound or frequencies into the geometry too. I mentioned earlier about Pythagoras and Plato's concept of the harmonious 'Music of the Spheres' but someone in modern times who made the connection between the ancient topological metaphor being a musical metaphor was Ernest G McClain who wrote The Myth of Invariance: the Origin of the Gods, Mathematics and Music from the Rg Veda to Plato in which he promoted his scientific findings after researching the Vedic literature, particularly the Rg Veda, whose myths and hymns were for McLain codes of a musical science that would inspire the Greek philosopher Plato. See the link to my article The Infinity Sign and the 353535 Code for a fuller explanation of this - Alton Towers, Sir Francis Bacon and the Rosicrucians
In his attempts to divine the musical proportions of the “best” city, Plato had proposed the city of Callipolis, his:
In his attempts to divine the musical proportions of the “best” city, Plato had proposed the city of Callipolis, his:
‘absolutely best’ city – his ‘celestial city’ the diatonic scale sung by the Sirens in his planetary model – seven numbers required for the diatonic scale produce all 11 tones.
McClain observed that for the rising notes C# and falling Eb, within the octave-numerical scheme, the largest genetic element is 3 to the power of 6, or 729, which just so happens to be the decimal coefficient of the Fine Structure Constant usually given as a fractional value of 1/137 giving the result of 0.00729927007, an approximate harmonic of 729.
With regard to prime numbers and Arnold Sommerfield's Fine Structure Constant, usually expressed as the fraction 1/137 (which is the basic coefficient of the constant), it is interesting to note that 137 just happens to be the 33rd prime number. Could this fact be significant given the C's have frequently expressed the importance of prime numbers and the power number 33? Could it in someway be connected to what the C's were referring to in the extract shown below?
With regard to prime numbers and Arnold Sommerfield's Fine Structure Constant, usually expressed as the fraction 1/137 (which is the basic coefficient of the constant), it is interesting to note that 137 just happens to be the 33rd prime number. Could this fact be significant given the C's have frequently expressed the importance of prime numbers and the power number 33? Could it in someway be connected to what the C's were referring to in the extract shown below?
A: 11 squared divided by phi.
Q: (L) By pi. 11 squared divided by phi. What does this result bring us to?
A: 33.infinity.
And as to the lemniscate or figure 8 sign on its side used to represent infinity (see figure below), this extract from the transcripts may prove quite illuminating:
Q: (SV) I have a book on the Brotherhood... I get all kinds of things in the mail... one is from a guy who is supposed to be an extraterrestrial... I'll have to bring it... (L) What could we use to represent 7th density as a mathematical symbol?
A: Try this: [draws figure eight on side in ellipse]
Farrell thinks it unlikely that the Greeks, Egyptians or Mesopotamians knew of significance of this number but he suggests that the Very High Civilisation which preceded these legacy cultures did know of the existence of this constant and other constants of modern physics and mechanics millennia before their rediscovery in our own era.
This link with music would lead to Mclain to scale invariance and ultimately the Fine Structure Constant, which is an example of scale invariance as it applies right across the board. Another way of looking at scale invariance is through “Global Scaling Theory” which Joseph Farrell describes as a unification of the various scales of physics around phi (φ) and associated logarithmic functions.
Phi (φ) is, of course, the Golden Number being an irrational number with a value of 1.618 033 988 749....
Now there may be no connection at all but in this session there was a passing reference to the bizarre occurrences at Skinwalker Ranch, which is currently the subject of an ongoing scientific investigation being televised in the History Channel's The Curse of Skinwalker Ranch. There is in fact an excellent thread on it at Path of the Skinwalker chronicling what is happening on the show.
For those who have watched the series, there can be little doubt that the investigators are encountering 4th density phenomena. However, one signal or frequency that crops up time and again whenever any high strangeness occurs is 1.6 GHz. This is an electromagnetic wave frequency equal to a huge 1,600,000,000 Hz (hertz). Allowing for a slight variation either way, this frequency seems eerily close to a multiple of Phi (φ) to the billion. If this link is correct, then are we seeing in operation a clear frequency link between φ and 4th density in action?
How much power would you need to generate a signal of that frequency and strength. Perhaps a clue was given by the C's here when discussing time travel:
For those who have watched the series, there can be little doubt that the investigators are encountering 4th density phenomena. However, one signal or frequency that crops up time and again whenever any high strangeness occurs is 1.6 GHz. This is an electromagnetic wave frequency equal to a huge 1,600,000,000 Hz (hertz). Allowing for a slight variation either way, this frequency seems eerily close to a multiple of Phi (φ) to the billion. If this link is correct, then are we seeing in operation a clear frequency link between φ and 4th density in action?
How much power would you need to generate a signal of that frequency and strength. Perhaps a clue was given by the C's here when discussing time travel:
Q: But, you said before that one has to generate an electromagnetic field, a la Tesla coils, do you have to have massive amounts of power in order to change channels and time travel?
A: That is the pathway accessible from 3rd density.
Q: How much power do you have to have?
A: Let us just say that GIGAWATT is the term of choice.
That is a huge amount of power.
Already the scientists working at Skinwalker ranch are hypothesising that they may be seeing portals between dimensions (densities) being opened up whenever they see this frequency occurring on their monitors.
I am no scientist or mathematician but it would be interesting to get feedback on these ideas from those Forum members who are.