The South Establishes His Kingdom

Aside from the division of Alexander's empire - we note merely that Seleucis and Ptolemy are the two players in view. Let's dive straight into the passage, and disregard names and dates from this interpretation of the text completely. Daniel "had understanding of the vision" (I.e. of Christ's person) and it is that understanding with which I am primarily concerned.

So, we are told that one of the princes of the kingdom of the south come into great power - but the king of the north is in the position where the static subgroup is in the hands of the north. We know that the unity element is common to both left and right hands, (Both use say, a = 1. with either [d,d,f] or {c,e,g} static)

The two meet in agreement to recognise each other's power - The woman plays the part of ambassador, yet in the north there is no room for the concept that {c,e,g} could be a static subgroup also - the maths is incompatible. The unity element has no "power" behind it. What occurs is that the south neither retains his power (of his arm, as his fortress) in the kingdom of the north, and the delegation - those that brought her, that fathered her and that supported her (i.e. the static triple of {c,e,g} in the south) does not retain it's power of a K4 subgroup as it does on its own soil in its "fortress".

Likewise in the two handed system [a,b,c],[a,d,e],[a,f,g] = "a" on the right and [a,e,f],[a,b,g], [a,c,d] = "a" on the left. Now these sets correspond to the congruences of groups to singletons in [a,b,c],[a,d,e],[a,f,g] = {e,g,c} and [a,e,f],[a,b,g], [a,c,d] = {b,d,f} respectively. That "a" as the agreement found in the woman given in marriage does not have her retain "the power of the arm" is part and parcel also with the king of the north not retaining his power in the south by the agreement.

The result is that the agreement is stalled. The woman that has the authority of the south (yet not as it were, the static subgroup in the north) is the triple {c,e,g} in the northern "octal". Likewise "he" that joined to her is the triple {b,d,f} in the southern octal.

Now, we are familiar with the branching of the unity element to three K4 subgroups that share it as an intersection. for a = 1 corresponds to the three triples [a,b,c],[a,d,e], [a,f,g]. (In the south we have the triples [a,e,f],[a,b,g], [a,c,d]).

Now the "root" of the woman in the north is the element "a", and the branch of those roots one of [a,e,f],[a,b,g], [a,c,d] One of these in the south is in correspondence in the north to one of {b,d,f} - He as {c,e,g} stands up with an army and enters into the fortress of the north. [b,d,f]. In entering in , we may posit that the unity element "breaks through" the static subgroup in the northern octal, and {c,e,g} is become the fortress and the south is now in power - the situation is reversed:

{b,d,f} or {a,b,d} or {a,b,f} or {a,d,f} static in north ("a" has entered into the fortress).
with one of {a,b,d,f} unity
and [c,e,g] now static in the southern octal.

Then carried off into the kingdom of the south (Egypt) are four things, corresponding to "a, b, d or f." - not the fortress itself, but the spoil of it. (The fortress is as it were now one of {b,d,f} or {a,b,d} or {a,b,f} or {a,d,f}) those elements not in those triples are "spoiled" and taken out "towards the south."

So, The king of the south has established his kingdom in the north - and is now a recognised power (The left hand octal is as valid as the right, having the same operations.)

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