Rain, Waters Into Blood, Plagues On The Earth

The next verses have much detail to reveal in the math;

Rev 11:5 And if any man will hurt them, fire proceedeth out of their mouth, and devoureth their enemies: and if any man will hurt them, he must in this manner be killed.
Rev 11:6 These have power to shut heaven, that it rain not in the days of their prophecy: and have power over waters to turn them to blood, and to smite the earth with all plagues, as often as they will. (KJV)

We note from the four horsemen of the first four seals that the dialectic device is equivalent to an accumulation of the static unity as it accumulates as in movement between the four beasts about the throne. We know now that the two witnesses are paired in just one such choice of unity in corresponding to the static subgroup pair.

a = 1 = [b,d,f] = {c,e,g} etc.

So the "fire that comes out of their mouth" corresponds to the singleton of the Holy Spirit which is the intersection of their branching: So here if "a" is the "fire" then;

{[a,b,c],[a,d,e],[a,f,g]} => {c,e,g} => a <= {b,d,f} <={[a,e,f],[a,b,g],[a,c,d]}

Likewise if any man would hurt them they must posit against the witnesses a different choice of identity from the same octal pair (They testify as over every octal). This is the only option open to the user of the dialectic.

Therefore the "fire" of the Holy Spirit will witness the (attack as a) shift in unity and the two witnesses will, under the action of the Holy Spirit alter their intersection by cycling the subgroups to account. What we see in reality is there is always an element that will map the two witnesses and the choice of identity element from any C7 group onto unity. (There is an inverse element). Likewise there is an element that will map a shifted unity back to it's original position: This gives a slam dunk counter-argument to the dialectic moving towards accumulation of the tail. This may be done in one movement of "fire" or in as many stages as the witnesses desire.

ie: using (a,b,d,c,f,g,e) if unity is shifted from "a" to "d" then we multiply through by (a,b,d,c,f,g,e) twice to obtain:

{[a,d,e],[b,d,f],[c,d,g]} => {a,b,g} => d <= {c,e,f} <={[b,d,e],[a,c,d],[d,f,g]}

Therefore as the intersection shifts so do the witnesses of the angel's circuit. A change of position of an "enemy" is countered in a rock-solid fashion. The "deeds" of the angel are backed up by some mighty judgements in heaven concerning his adoption, and the gifts given to the angel are there to allow former accomplishments to be "held fast". Every dialectic device of the horsemen may and "must" be countered by the two witnesses in this fashion.

That the witnesses have power to "shut heaven", shows that they may choose not to counter a shift in unity, that they may remain firm and in a somewhat fixed position. We would equate the "rain" to the action of multiplication acting downward in columns under a valid seven cycle.

We see that "waters" are formed from the sea; and they also refer to those octals that share a subgroup with the sun octal. Every subgroup has in its opposing hand a group of K4 subgroups under addition (using (A v B)^c. The intersection (blood) of the K4 groups allows the "blood" of the circulatory relationship between left and right to come under their power. (They witness the same isomorphic circuit across every one of the 30 possible octals.)

Thus the "branching" they have is this "blood" as mentioned. (The term "branch" is not used in revelation, but it refers to the same thing.) The "mouth" refers to the imagery used previously (c.f. the similarity between this passage (the K4 groups of subgroups) and that referred to in the serpent spirits of the sixth trumpet), ie a(bc)(de)(fg), requires "a" to be the mouth of the "serpent."

In shifting their stance from one solid position of an absolute to another (in the octals they witness), they counter the accumulation of the dragon's tail, as it were the first four horsemen. However they may choose to not do so: and in a deliberate fashion! Then they allow the dragon's tail to accumulate! Then they have authority to loose those spirits (as plagues) upon the four elements of the Earth as in the four beasts. The horses as under their rider are subject to these witnesses fully.

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