The Appearance Of Locusts

The shapes of the locusts were alike to horses (additive subgroups) arrayed in ranks, prepared to battle (placed side by side). On the heads of the horses were crowns like gold (They are like "cosets" of finite fields, being multiplicative cosets of subfields of an extension field.) Their faces were like faces of men. (in appearance they appear to be similar to collections of additive singletons (like of the octal) - these are "not" the locusts - the multiplicative aspect which indicate the locusts have "wings".)

Their hair was like the hair of women - their orbits were not circular but twisting like the ringlets of long hair. (a full orbit takes several multiples of orbits of the additive subgroups.) Their teeth were like the teeth of lions. (It is very hard to break the grip of the system - The system is closed and is very secure.) However the teeth do the damage, and it is the double bite of the sixth trumpet that fills in the hole in this system.

Again the system is very secure - the horses have breastplates of iron, it is very difficult to determine the current status of an element within its cycle when all that may be observed is the additive subgroup to which it belongs. The action is near impenetrable. The movement of the additive subgroups is from the orbit of their full set of elements under a single multiplicative element. Every additive subgroup moves from one to the next in one "rank" or orbit under a single power of a generator: there is no set mapped onto itself unless it is the whole field. (like many horses rushing to battle.)

The tails are the extensions over the additive subgroup of the prime subfield. (Every extension over such an additive group forming each "coset" is in the "tail") I.e. one additive subgroup must be a subfield (to give us a short orbit.)

The tails are for the purpose of the scorpions; to form the three, four and five cycles of the elements required. (We need to divide the fields multiplicative group into subfields of index 3, 4 or 5 respectively.) The stings are in the tails -we require a generator of the full extension field to permute the extension, not just a singleton of the subfield. The cosets of the subfield are formed from the extension - this leads to the twisting seen earlier (non-commutativity by composition of several sets of extension fields) , as well as to the elements of S5 required. (The "five months" required.)

They have a "king" over them - of "Algebraic closure" or possibly the star that fell with the key to the bottomless pit. Either one or both is possible - but what we do know is that the name of this king Abaddon is actually "Hell" - and that he follows after the rider on the pale horse.

There of course is a simpler description, liking the "lions teeth" to the letter "W", the "breastplates as of iron" to the letter "X" , the "wings" to the letter "Y" and the "tails with stings" as the letter "Z", (albeit one with a central horizontal strike, for which I apologise; I can not produce it from my keyboard.)

Then the four earthly elements {d,e,f,g} are covered with swarms of locusts that make the four multiplicative cosets of some finite field F namely xF = W, xxF = X, xxxF = Y and xxxxF = Z. (with x a generator of the extension over F of some degree "n".) Now, W, X and Y and Z may themselves be a collection of "horses" arrayed to battle, being sets of cosets of F that cycle in some sense order five; The base element or starting point which would be our "F" is actually the "star" that fell with the key to the bottomless pit.

If we take our initial prime subfield "F" and use the symbol W for the particular prime subfield used (it could be of any generalised prime characteristic p) then X is as a set of elements that map W onto the other members of the additive subgroup under consideration. (The "horse").

Our ranks of horsemen, W*X, Y*W*X, Y*Y*W*X,.. etc are separated in their orbits by some generator of the extension field or element "Y". Then Z may well be the cyclic property of the finite field within which we observe the orbit under the action of Y. The elements "twist back" on themselves like a limb "stung by a scorpion." We could consider that multiplication in the orbit is done somewhat "mod Z". When the additive group(horse) is a subfield each subgroup of the "horse" appears once in each orbit, otherwise it may appear multiple times, This is "unnatural" and it is associated with the "torment" mentioned.

The teeth (the prime subfield) in generalised form "take a prey" of the would be believer as a lion, (cf the Lion of Judah as K4 in the octal) spoiling the people who would be God's own. - The breastplates of iron, (The bodies of the locusts or X's) are never under a homomorphism as a proper and non trivial morphism in the extension. (There is no sense of "solution" and we have "encrypted" the "rest" in God with an unnatural "pneuma"). Each X is also some fW for an element in the extension field f.

The wings Y in their movement seem like horses prepared to battle, each locust in its "array" of Y*Y*...*Y*W*X shifts from one rank to the next.

The tails Z of the inner relationships of the ranks do the damage, (they are not necessarily additive subgroups) but within them each locust as fW is under a "twisting" within the ranks "like women’s hair" as the ranks are shifted under the action of the wings. This twisting is like the twisting of the limb of one stung: from rank to rank under some y having the appearance of a cycloid curve. The cyclic nature of the orbit "mod Z" is done so that each locust multiplied by Z = g in the multiplicative group sends g*fW to fW.

Therefore every description of the locusts is in line with this math in those four sets of elements of the Field. The prime subfield W, the elements x mapping W to each order p subgroup of the additive subgroup G under orbit in the set X = {x : xW is in G}, then Y as the "positions" in the orbit, where y in Y is a generator of the multiplicative group of the extension; (with which the extension is uniquely determined) and Z, the length of the orbit which may vary for a G subfield, but is otherwise the order of the field extension. (We have short orbits only when W*X = V ( for some subfield V) otherwise the orbit is the length of the multiplicative group.

Then we have each locust is of the form w * x * y "mod Z" where w is in W, x in X etc,.

However, there is a better way that is more "complete" in its interpretation.

One last thing could be noted. if "z" is the action of the frobenius map, then we will always hold fixed a subfield of the extension when using the frobenius map on the field extension. The "torment" under frobenius holds fixed some subfield W*X (if it is a subfield) and permutes the elements of the extension over the subfield W*X. The "torment" is then in the "power of their tails". As our property of "mod Z" is not strictly necessary - we already have all the information for Z from W*X as a subfield or not, in using frobenius with z we assure ourselves of matching the text.

Each element (locust) in the orbit is then of the form (w*x*y)^z where z is a power of the prime characteristic p. The set of all powers of p would be therefore "Z".

As there are no other automorphisms than those of the frobenius map, we are assured of a complete description of the orbits of the additive group W*X.

Opening the pit is easy enough from outside: we can construct an element of order two by simply adjoining an extended pair (x, yp) to the field in elements as 'x' and 'y', with the root p of order two (so that we may place the four angels from the euphrates in place over these locusts whom are the army of those four horsemen) to allow a full construction of the twelve missing elements of S4 that can not be constructed from the octals (using antichrist three cycles to generate those twelve elements, each with a different floating unity.) This however can not be done from within the bottomless pit, as the elements are not present in any algebraic closure (there can not be a root of order two adjoined to a field of characteristic two, and the prime subfield of every other characteristic contains such a root as "-1" this means that the smallest such field must contain this field and is of orbit length 1, and no extension could be made with the same root in the extension to make an orbit length two..

One could imagine the star simply throwing the key inside and leaving the scene,.. as the key could not be both inside the pit and outside at the same time, would this close the pit upon destroying the key? Maybe so. Abaddons name as "destroyer" may be the "key" in this sense as well.

The "star" is therefore free to float over any other month of the five from Ephesus to Sardis, and the locusts swarm in W,X, Y and Z so that the four horsemen bound in euphrates may take the place of the devices of the first four seals (And the beast from the earth or false prophet) as an overlay upon all 30 octals in the sea that is never actually possible to contrive (The key would not work but by a "pair" or adjoined element - The star itself?) The devices are constructed not to form the beast from the sea as one would suspect, but is fashioned in order to construct the image.

As it could be better described, the sea is made the beast through the image, not by the government that facilitates it (the NWO beast from the sea.) In all respects, the world wonders after the first beast and does it's best to institute "free religion" after the freedom granted by such government without counting the cost. To name the image one could state it is the scarlet beast rode by the Church, and the blueprint of the seal's four horsemen with the fifth trumpet pit construct with its four sixth trump riders is "Hell" and the four horsemen from the euphrates that exercise their unholy authority over them as "Death".

However, "Death" is the construct of the four horsemen devices in the seals, not from this sixth trump, and the image as a system is still truly missing those twelve elements that can not be constructed (A ten part of the city S5 falls) . In effect the scarlet beast and image is identified as "The Second Death". The beast that rises from the bottomless pit is "Hell" as we would understand it; it is the image to the first beast and also the second death. The original "Death" that was overcome by Christ in prevailing to open the book of life is associated with the restraint loosed on the fourth seal,(with the coming of the USA's New World Order) and not the second death, which merely goes into perdition (as any other sin) as it may be overcome by us in obedience by simply having part in the first resurrection - life in Christ. We are told to exit the five churches, and to do so swiftly, Christ states "Behold, I come quickly".

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