Revelation
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The Blood Of The Lamb
The criteria for receiving the seal of God is plain in the text. The Lamb is "as slain" before the throne, as unity only, without the extension to GF(4) over GF(2). The "blood"or intersection we see referenced throughout revelation would imply that in the right hand there is a K4 group with "a" as it's intersection. In this case if a= then these groups form together: [[a,b,c],[a,d,e],[a,f,g]]. Now then we see that this group is allowable in the octal as opposed to say the single group [a,b,c] with a=1. (such a subgroup may not be static.)
Clearly if we are usingh the seven cycle (a,b,d,c,f,g,e} then [b,d,f] is held fixed if a=1. Then we see that the groups above under frobenius have a cycle:
frob([a,b,c]) = [a,d,e]
frob([a,d,e]) = [a,f,g]
frob([a,f,g]) = [a,b,c].
(i.e. b=>d=>f and c=>e=>g)
We easily see that we can use the octal group for the additive identity zero. (The Father as sat on the throne.)
We note that with our addition (A v B)^c in the octal we have all the requirements for the field GF(4).
The multitude that has washed their robes white in the blood of the lamb are those elect fortuneate enough to be assigned a "seal" as an arrangement of the octal group about a unity element. Whereas the rest found in the unity elements action in the field is not the entire picture, the arrangement of the GF(4) field actually present within the structure of the octal group as above is paramount to describing these "seals".
There are two seven cycles over our sun octal that hold fixed [b,d,f] amd {c,e,g}. There are a further two automorphisms of this field GF(4) over GF(2) - this gives us a total of four arrangements: Then we simply note that we have three elements in GF(4)*. This gives us a total of 12 possible arrangements that cohesively form this GF(4) field given a specific choice of unity in the octal.
A simpler explanation may be the two choices of seven cycle holding [b,d,f] static and the six elements of the octal we use in constructing GF(4), saving the "identity" "a" for Christ Himself. There are then a further four combinations of static subgroup in the right hand and three automorphisms in GF(8) upon them. We then have the full 144 combinations.
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