The Two Witnesses

Here are the verses from chapter 11 concerning the two witnesses, we jump in after the measuring of the temple - which sets the subject matter - the octal rather than the "ten virgins".

Now, firstly we must define what we mean by "two witnesses". These witnesses are said by the angel to be his witnesses, rather than Christ's. Isn't that strange?

We divide the octal ultrafilter into left handed and right handed parts depending on a seven cycle. The correspondences of elements to triples we termed "trees". So if we use the seven cycle (a,b,d,c,f,g,e) and hold (b,d,f) static with a = 1 then we have the system:

(b,d,f) = a = (c,e,g)
(c,d,g) = b = (a,e,f)
(c,e,f) = d = (a,b,g)
(a,f,g) = c = (b,d,e)
(b,e,g) = f = (a,c,d)
(a,d,e) = g = (b,c,f)
(a,b,c) = e = (d,f,g)

There the seven cycle preserves the subgroups and triples acting downward. However we have now seven "trees" (corresponding singletons to triples) in each column and we only need two, one from each, therefore if we state the two witnesses to be the static groups;

b = (a,e,f)
d = (a,b,g)
f = (a,c,d) for one witness

c = (a,f,g)
e = (a,b,c)
g = (a,d,e) for the other.

We have what we want. Note that in each case the intersection, "a" here is unity. Under a seven cycle these two witnesses form the lampstands, (octals) that stand before God. The element under the seven cycle as "a" is here, is a common intersection of the triples that are present in each witness. (The element that is common is the "mouth" in the text.)

They prophesy for 1260 days or 42 months of 30 days (octals). They represent in their ministry the isomorphic copies of GF(8) in seven symbols. The "escape route" or "circuit" of the angel is valid in every isomorphic field GF(8), and it is to this that these two men "witness".

The ambiguity of the two confused octals underlying the K4 ultrafilter unsealed in seal five and six (opposed by the serpent spirits of the sixth trump) is cleared up in these two witnesses. In their resurrection in Christ it is shown that the original octal witnessed to by these two "branch" servants is preserved uncorrupted. Their witness to the angel of the church's escape route clears up the ambiguity as to the octal for all those who hear the voice of God.

Across all 30 octals there are seven choices of unity and six non-identity elements. This gives the full amount of 1260. We do not consider the identity or rest state of each octal as yet: that will come in the text later. We need not consider unity at all, but simply "walk through the lampstands" as does Christ.

If any man will counter their ministry, they must counter with a different choice of unity - a counterfeit rest that must be of a different witness - i.e. either the left or right hand witness is supplanted.

The thirty octals over which the witnesses are free to shift, cause a "twisting" reminiscent of the locusts,.. at least in terms of shifting one hand's octal while the other hand's static subgroup is fixed (as a shift of unity). The witnesses are then "tormenting all those upon the earth" as the "earth" is in view as the four elements not in the static subgroup represented by the witnesses themselves. Their shifting states are a permutation of the four earthy elements as the witness in that same hand shifts.

For instance we can generate with a different correspondence to unity using the method of the serpents, we may swap the elements f<=>g (or d<=>e or b<=>c) to get different octals with a = 1.

(b,d,g) = a = (c,e,f)
(c,d,f) = b = (a,e,g)
(c,e,g) = d = (a,b,f)
(a,f,g) = c = (b,d,e)
(b,e,f) = g= (a,c,d)
(a,d,e) = f = (b,c,g)
(a,b,c) = e = (d,f,g)

However we are interested for now in just the singleton to triple "trees"that are the witnesses. so we have on the one hand with a = 1

(a,b,c) = d or e or f or g
(a,d,e) = b or c or f or g
(a,f,g) = b or c or d or e

Giving us the groups that would generate the fire columns as follows {(c,e,g),(c,d,f),(b,e,f) or (b,d,g)} which are formed by the three switches (transpositions) f<=>g or d<=>e or b<=>c. Then we have a different octal since the additive product of any two of these four groups is either (a,b,c) or (a,d,e) or (a,f,g).

Giving us "fire" (as the left handed columns previously) coming out of their mouths (unity or the intersection of groups of K4 subgroups, as "a" here). However to witness one single "escape route" of the angel in all its isomorphisms, if any men would hurt the witnesses ministry they must supplant the octal - whereas if the witnesses repeatedly stay firm then the seven cycle acting on their own subgroups (trees) on the right or left will generate the original octal. (The switching of elements (f<=>g etc will not take effect to supplant the octal.) The attackers must be "burned up" by the firm witnessing of the original seven cycle employed by the angel.

They have power to stop heaven from raining - they need not cycle as in a seven cycle at all but are valid when static, they may turn waters to blood - that is they can take the opposition of different octals in the sea (formed by the switching) and show in them the associations of seven cycles that their witness is true, (that the three fixed groups (a,b,c) (a,d,e) (a,f,g) are valid in all (as an intersection or "blood" between octals) such opposition, therefore under the angels seven cycle they prophesy in truth.) (they provide an isomorphism or relabelling that attests to the truth of the structure rather than the symbols.)

They may smite the earth with plagues - they show that the correspondences to the four groups formed by switching elements as above (as like to the four beasts about the throne in subgroup addition) are at fault, and under the wrath of God (they number 666) - they can smite back their opposition.

When their testimony is finished (when they have no longer any witness except to show the rest state of unity in Christ) the are overcome by the beast rising from the bottomless pit, the "Hell" spirit that will not give up its captives (under the locusts.) They are at rest, and those left in the church are all "foolish virgins" now that the witnesses are done, the churches are "are out of oil", (good doctrine) - (see Zechariah's vision of the two olive trees and the lampstand.)

When the two witnesses have finished, they are only left with rest-states from unity elements. They may not regenerate the original octals with these! But as one tree of seven they generate only their own self. The fire which issued out of their mouths is done with and then the serpent generated octal is set up {(a,b,c),(a,d,e),(a,f,g),(b,e,f),(b,d,g),(c,e,g),(c,d,f)} with it's companion.

Their bodies lie in the street of the city where Christ was crucified - (in the midst of the blasphemies of the Holy Spirit) - called Egypt (captivity) or Sodom etc. Their bodies are seen for three and a half days (out of thirty octals) formed by the serpent spirits and the formation of three fire columns (aside from the first of the second witness, i.e. the second, third and fourth such columns.) Then the mix of the four "fire columns" associate with the subgroups of the first witness, so that four of eight elements are formed (i.e. a half day, if we include zero as an element.)

IE. under appropriate seven cycles

a = (b,d,f) = (c,e,g) or as the first witness,

a = (b,e,g) = (c,d,f) or the first day,

a = (c,e,f) = (b,d,g) or the second day,

a = (c,d,g) = (b,e,f) as the third day.

Each row generates a different octal group for the left hand (if we fix the right hand to (a,b,c),(a,d,e),(a,f,g)) then we form the mixed octal (our half day) as well as three new octals aside from the first left handed one (from the second witness).

The inhabitants of the earth (the singleton elements equivalent to the four beasts about the throne.) exchange gifts, i.e. any of the six transpositions on the elements (d,e,f,g) if (a,b,c) is a K4 subgroup. Using these they employ the serpent's method to construct their system in which they are captive under the serpents and scorpions.(The image to the beast is being set up.)

After those three and a half days the original (as the angel's) seven cycle is employed onto the mixed octal an there is a separation of the witnesses from the earthly set of six possible transpositions, (exchanges of elements). I.E. with the seven cycle acting downward;

(a,b,c), (a,d,e) , (a,f,g), with (b,e,f), (b,d,g), (c,d,f), (c,e,g) with unity (a = 1)
(b,d,f), (a,b,c) , (b,e,g), with (a,d,g), (c,d,e), (c,f,g), (a,e,f) with unity (b = 1)
(c,d,g), (b,d,f) , (a,d,e), with (b,c,e), (a,c,f), (e,f,g), (a,b,g) with unity (d = 1)
(c,e,f), (c,d,g) , (a,b,c), with (a,d,f), (b,f,g), (a,e,g), (b,d,e) with unity (c = 1)
(a,f,g), (c,e,f) , (b,d,f), with (b,c,g), (d,e,g), (a,b,e), (a,c,d) with unity (f = 1)
(b,e,g), (a,f,g) , (c,d,g), with (d,e,f), (a,c,e), (a,b,d), (b,c,f) with unity (g = 1)
(a,d,e), (b,e,g) , (c,e,f), with (a,c,g), (a,b,f), (b,c,d), (d,f,g) with unity (e = 1)

We are then interested with the original octal on the left three columns and the "Earth" on the right four. The original octal is regenerate - they (the witnesses) stand upon their feet and ascend upward - their enemies behold them in a cloud (mystery). They ascend - they are not "earthly" - they are separate from the right four columns in every way, and this is a mystery, because it happens every day to the believer seated with Christ in heavenly places.

At the same time there is a great earthquake and the tenth part of the city fell. As a subset of the full 120 permutations of S5 forming the "city", we expect 12 elements to coincide with the proper operation of the ultrafilters. In that manner the devices of satan are actually subject to God. (see the glossary page, "The Tenth Part") The creation of the image is designed (as the third woe) to counter this. By extending the system to supplant the octal underneath the city, the dragon makes his effort to subvert this portion of the city that is subject to Christ's K4 ultrafilter.

In fact the twelve elements that are subject to God in His two witnesses are permutations of the elements corresponding to the four beasts, upon {d,e,f,g} being the 12 elements (b,c), (d,e), (f,g), (b,c)(d,e), (b,c)(f,g), (d,e)(f,g)...((b,c) is used to act upon the K4 ultrafilter to send (defg)<=>(fgde), and not as the octal elements) and using the action of the second witness as (e,f) in the K4 ultrafilter of the other hand we also expect (b,c)(e,f), (d,e)(e,f), (f,g)(e,f), (b,c)(d,e)(e,f), (b,c)(f,g)(e,f), (d,e)(f,g)(e,f). (We suppose two earthy elements are transposed before acting with the remaining witness.) These elements do not form a group.

In fact the text tells us later that the city is built on seven mountains - the remaining three parts are for the serpents tail - made of the four horsemen of the seals. The tenth part of the image, the device or "Death" is shown to be an empty set. In fact, it is shown that Jesus Christ is God and existence apart from Him is impossible, (even if in the Father two parts are cut off from the K4 ultrafilter when sat at the right hand.)

Then the triple effect of the tail, the "three onto one" mapping to the seven parts of the city form the "tenth part" but only of the image (not the city or S5). The device of satan fails completely in Christ. The earthquake, which shows the shaking of the Earth with a shift here of heavenly authority from "Death" to be subdued under God kills seven thousand men in the city - one thousand for each element of the angels seven cycle. One row of the right four "earthly" columns as above are shown to be corresponding to a choice of unity from the angel's cycle: Therefore it is not men that die, but the escape route for men from out of the city - (the seventh seal is ready to be unsealed). Since grace is multiplied out by a thousand, this is where the factor comes from,.. not the number dead, but indicating that the election is past. The remnant were affrighted, (the wise virgins) and gave glory to God for their number is completed.

Thus the seven thousand that die are in direct relation to the remnant. The 144,000 of the 6 x 24 rest states do not include the seventh (identity) portion that refers to the 24 elders. Thus the 7,000 that die are as the seven unity elements in floating form (or walk through the candlesticks) - the very same men that have not overcome Laodicea, assuming themselves already saved (and supposedly always saved) and as taking the place of the elders in heaven. Since every automorphism sends unity to itself, there is no factor of three and only one identity element across all seven cycles (just unity itself) so no factor of eight either, hence no factor of 24. (thus we simply have 7,000.) The sun octal's (primary C7 group from the angel) C7 elements aka the 144 (but not as including the identity) find their rest in obeying Christ, whereas these seven have ignored His voice (as in His letters) altogether. Very odd that there is a regress to the angel's lampstand here.

We are now ready to move on to the satanic beasts of revelation.

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