Remaining Calculations

So with our vectors (0, GF(4), GF(8)(left hand), GF(8)(right hand))
with LH = (GF(4)+, GF(8)+(right hand), C7) and RH = (GF(4)*, C7, GF(8)+(left hand))

We have made a "swift work" of unifying the elements of C7 with those of the left and right hand octals, as well as of GF(4)'s additive and multiplicative groups. However we still need to show that GF(4) + LH = RH etc. I have no solution as yet unless the filters are changed, so that GF(4) * GF(8)+ is done only when contained within C7 using * etc.

With the certainty that the full group, (comparing to the identity element self to self) is as GF(4) = (0, GF(4), GF(8)(left hand), GF(8)(right hand)) we need to simply ask "What happens if Christ is sat at the left hand of the Father?"

We must have the situation reversed. The K4 subgroups of the left handed octal are now associated with the right hand singleton elements and multiplication through the right hand now aligns the left hand singletons to the right handed octal's subgroups.

However, we have to associate the GF(8)(left hand) with LH etc. The trick must be in how we split the elements into the LH and RH vectors. We can state happily that for GF(4) to exist complete we must have Christ sat at one of the left or right hands, otherwise there is no multiplicative group in the trinity for K4 to become as GF(4). Our required and "missing" product becomes a case of Christ to be sat at either the left or right GF(8) fields.

So, assuming that if Christ is sat at the right hand: (ie the left handed singletons are associated with right hand subgroups of the right hand octal or vice versa), we may split across with the groups "doubled-up" so that GF(8)(of the left hand) associates its multiplicative group to GF(8)+ (of the right hand) and its additive group to C7. We also associate GF(8)+ (of the right hand) to C7 in the left and GF(8)*(of the right hand) to GF(8)+(left hand). Then the left hand is fully and uniquely generated. (each seven cycle is alid on only two octals)

Then we also state that upon the left hand if Christ is sat as a K4 subgroup in the left hand octal, then there is uniquely defined (in alignment) a complement octal (the right hand) under the same seven cycle. Also vice versa for the right hand.

Then our group is actually a joint definition from two pairs of vectors (LH and RH, but paired as if isomorphically to each other). In this way we recover our full group of (0, GF(4), GF(8)(left hand), GF(8)(right hand)).

So what of LH and RH? Well these take the place of our two witnesses, the two whom sit at the Lord's right and at His left (and is already determined by His Father, and not in a place to be given to any other). They are the "hail and fire mingled with blood" as well as the "resurrection and life" - the golden oil as doctrine that mixes seamlessly from the two olive trees in Zechariah's vision. The witnesses are in view as uniquely determining seven pairs of left/right handed K4 groups using every seven cycle, preserving all possible right hand octal's in view in revelation. Rather than keep the right hand static, they are free to shift and are yet in total obedience to God, following after their manner appears to "twist" or "torment those that dwell upon the earth" without a fixed reference aside from the angel's circuit (see revelation).

In essence if Christ sits at the right hand then the left hand GF(8) is uniquely defined for a given C7 cycle. (Or at least to sets of triples of singletons, essentially having a form of godliness but denying its power. (as workers of iniquity.))

If we accept the definition of death or rather "Death" as capitalised, then Christ sat at the right hand preserves alive those whom are found in Him. We can consider the result of the product in these vectors to be the unique octal generated by that K4 and C7 with a given octal as the right hand. Is this not the consequence of the whole revelation of Jesus Christ? The remaining and fully determined octal is uniquely obtained by translation from the left hand to the right, from mapping [c,e,g] to [b,d,f] for example (given that [c,e,g] is static under a seven cycle with a =1. This is what is meant by "sat at the right hand" in that Christ separates out His elect to His Father's right.

When I was an undergraduate a whole course of 11 weeks was summed up in one statement. ("For any prime power there is a unique finite field of that order and the multiplicative group is cyclic.") It is best not to split hairs, but Jesus Christ has fully revealed His divinity to His disciples through His word.

Now the 144 octal reversals or "rest states" are merely those who have known the sabbath rest of Christ in the octal (rather than antichrist sets of "triples") and they are recorded in the Lamb's book of life. When Christ no longer sits at the right hand of God there will be record of all those that were in Him. He will surely reward His own as He has said. 

-- Click To Expand/Collapse Bible Verses -- Mat ch7:v13-23
Mat 7:13 Enter ye in at the strait gate: for wide is the gate, and broad is the way, that leadeth to destruction, and many there be which go in thereat:
Mat 7:14 Because strait is the gate, and narrow is the way, which leadeth unto life, and few there be that find it.
Mat 7:15 Beware of false prophets, which come to you in sheep 's clothing, but inwardly they are ravening wolves.
Mat 7:16 Ye shall know them by their fruits. Do men gather grapes of thorns, or figs of thistles?
Mat 7:17 Even so every good tree bringeth forth good fruit; but a corrupt tree bringeth forth evil fruit.
Mat 7:18 A good tree cannot bring forth evil fruit, neither can a corrupt tree bring forth good fruit.
Mat 7:19 Every tree that bringeth not forth good fruit is hewn down, and cast into the fire.
Mat 7:20 Wherefore by their fruits ye shall know them.
Mat 7:21 Not every one that saith unto me, Lord, Lord, shall enter into the kingdom of heaven; but he that doeth the will of my Father which is in heaven.
Mat 7:22 Many will say to me in that day, Lord, Lord, have we not prophesied in thy name and in thy name have cast out devils? and in thy name done many wonderful works?
Mat 7:23 And then will I profess unto them, I never knew you: depart from me, ye that work iniquity.

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