Revelation
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Is The Wrath In Reversal?
Yes. Hmmm, probably.
Hehe, indeed the viols are in reversal to the trumpets. One of the four beasts gave the seven angels the bowls, and we know the four beasts form the coset of the static subgroup in the reference octal. In the seven elements of the Holy Spirit we would expect then that in reversal to the trumpets, this element in the coset will reverse the octal operation beneath the seven cycle of the Holy Spirit. Then, that sends the same element matched to the "beast" to zero. (ooh, so close!) There is yet more to find here.
Yet, with regard to that, the viols are poured out upon the earth and not upon the static subgroup. Thus, if (b,d,f) is static and a=1 then the wrath is poured out on trumps [a,c,e,g] - then we could transform to the viols [a,c,e,g] + a = [0,b,d,f], our static subgroup as we intended. Yet this would imply that somehow "a" is removed from the seven cycle and replaced with zero.
The beast that gives out the bowls is not identified as the unity element: rather we may consider that with the pouring out of the viols God's wrath is brought to rest: We can assume the beast is as unity if we consider that trump + viol = rest for each of the seven trumps and viols. We would consider "rest" to be as the beast that corresponds to unity in the octal. (It can not be in the static subgroup.)
All seven viols are poured out on the four earthy elements or devices. The octals in which they are poured out is the key in the text. At the very end of the wrath the octals are all aligned into one - we then have that the wrath as poured out over every octal has in fact been poured out upon the null or empty set that is outside of Christ and yet supposedly within the octal. The ultrafilter with its "strange twist" is ironed out flat as the wrath is completed.
The first three viols, if they are to form a K4 group and the last four it's coset, require diligence to construct a reversal: we must separate the octals of trumps and viols. adding [a,c,e,g] + a is sensible if a=1.
Our trumps then become in the seven cycle (a,b,d,c,f,g,e) + 1 which gives a reversal.
On the other hand, we note that we are adding "1" to earthy elements: (I.e cosets of K4 subgroups) Thus transforming them to some other set.
i.e. if a = 1 and we operate in the left column downwards under (a,b,d,c,f,g,e)
[a,c,e,g] + a = [0,b,d,f]
[b,f,a,e] + a = [0,c,d,g]
[d,g,b,a] + a = [0,c,e,f]
[c,e,d,b] + a = [b,d,e,c]
[f,a,c,d] + a = [0,g,b,e]
[g,b,f,c] + a = [f,c,g,b]
[e,d,g,f] + a = [d,e,f,g]
Now a=1 corresponds to the intersection of the three groups (a,b,c) (a,d,e) (a,f,g) which are missing from the result of the above. These are curiously enough, those same triples static in the K4 form with a=1.
Those same groups "In Christ" are preserved through the wrath given that is indeed what is going on here. Their complements (cosets) are the recipients, as well as those four K4 groups not containing unity.
Note that with a=1 and under (a,b,d,c,f,g,e), [b,d,f] is static.
[a,c,e,g] + a = [0,b,d,f] = 1
[b,f,a,e] + a = [0,c,d,g] *
[d,g,b,a] + a = [0,c,e,f] *
[c,e,d,b] + a = [b,d,e,c]
[f,a,c,d] + a = [0,g,b,e] *
[g,b,f,c] + a = [f,c,g,b]
[e,d,g,f] + a = [d,e,f,g]
Then the groups marked in * are likewise held static as it were by a seven cycle "In wrath". Those elements inverted are mapped to their cosets instead. (These cosets also form a group under symmetric difference rather than our familiar operation of subgroup addition.) The groups in * and with "1" do not form a group under subgroup addition in any set of three.
So, in making our first three viols into a K4 group with the third the intersection or "blood" of the previous two we should expect the sequence of viols to start with some ordering of;
[c,e,d,b] + a = [b,d,e,c]
[g,b,f,c] + a = [f,c,g,b]
[e,d,g,f] + a = [d,e,f,g]
followed by the "sun" octal;
[a,c,e,g] + a = [0,b,d,f] = 1
which includes all of;
[b,f,a,e] + a = [0,c,d,g] = b
[d,g,b,a] + a = [0,c,e,f] = d
[f,a,c,d] + a = [0,g,b,e] = f
The fourth viol is poured out on the sun octal (which is clearly seen in the fourth row) whilst the next three are simply similar cases as part of the same sun octal. (Unity may float to any one of these three rows!)
Then the fifth viol is poured out on the seat of the beast as comprised of the last three rows: In them we see the diminishing extent of the "sea" from four rows above to three to two etc; The "seat" of the beast is the centre of the device of the balances, as if facilitator so corresponds to {b,d,f}. In pouring out a viol upon the final three rows the inhabitants of the earth have nowhere to set up their devices other than to repent and acknowledge God - which the text indicates they do not do.
The sixth viol is then poured out on the remainder (only the last two rows), and shows that there is now no longer any route to any different octal. (One can not transpose the elements d and f in their associations above as in the last two rows because they are no longer free to be considered as arbitrary - the static subgroup in each of the bottom two rows would contain that alternate element, a contradiction!)
Lastly the seventh viol is poured out into the air - and the octal is completely trodden as a winepress. What survives? Clearly only the element that is not in any row upon which the viol is poured, I.e. "a" = 1 is preserved in each of the right hand entries, or equivalently the three groups (a,b,c), (a,d,e), (a,f,g). These form the K4 group that is preserved in Christ which is somewhat similar to what we wanted. (That {a,c,e,g} = {})
[c,e,d,b] + a = [b,d,e,c]
[g,b,f,c] + a = [f,c,g,b]
[e,d,g,f] + a = [d,e,f,g]
[a,c,e,g] + a = [0,b,d,f]
[b,f,a,e] + a = [0,c,d,g]
[d,g,b,a] + a = [0,c,e,f]
[f,a,c,d] + a = [0,g,b,e]
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