As the distribution name already suggests, we are dealing with a spatial distribution with 3D support84 (the area of the Earth’s land, neglecting the territorial water section due to simplicity reasons) of the attribute named state sovereignty, attribute which consists of many other components (such as the state name, national anthem, flag, official language, government form, defense system, economic system, population, international recognition, total area etc). This attribute may be represented within the abstract objects syntax as follows:
{ek Sk} = namenational anthemflagpolitical system… (X.2.2.1)
where Sk is the qualitative attribute state sovereignty of the state k, and ek is its existential attribute (quantitative). As a result of international conventions, the same juridical unit (value which according to the international law regulations is equivalent to the states equality from the political point of view) was assigned for ek,, but the qualitative attributes Sk shall never be identical (their role is even to separate, differentiate the states objects one from another). The attribute Sk is evenly distributed on an area which is referred to as state territory (internal spatial domain of the state object), limited by a separation line from the territory of the neighbor states: common border (boundary). Each state has a capital (internal reference of the state’s domain), with known coordinates (spatial position on the Earth), against which the positions of the internal objects of that state85 are being assessed. Each state has also a political leadership (a government), that is the internal reference of the social community which populates that state.
This distribution (of the states sovereignty) taken as a whole is obviously non-even, the super political powers being much “more sovereign” than the weaker states.
Comment X.2.2.1: Although the states are de jure considered equal as regards their sovereignty, this equality is de facto just as real as the equality of people is; after all, the sovereignty of a state is a global attribute, a result of the accumulation of all the resources which are owned by that state, mostly of the political, economic and military resources (these are the real support of sovereignty).
Also, the size of these states varies very much, ranging from couple of km2 to about 107 km2, depending on the resources and greed of their leaders over the history. What is relevant for the goal of this annex is that all of these are elements of the distribution which is mentioned in the annex title, regardless of their area and power. The element status shows that from the point of view of the even distributed attribute - that is the state sovereignty recognized by the other states - and only from this point of view, the decomposability limit was reached.
Comment
X.2.2.2: Most of the states have another internal distribution of the
territories with their own government (a sort of much more limited
sovereignty), with an individual reference (the regional centre), but
without direct access to the political and military foreign affairs
of the state as a whole. There is also an internal spatial
distribution for the other internal objects (localities,
agricultural, touristic or industrial areas, military bases etc.).
Otherwise speaking, from the point of view of other criteria, the
state system is still decomposable, but not as far as the state
sovereignty concerns.
84 If we are talking about the Earth’s political map which is a plane representation of that distribution, we shall have a spatial distribution with a 2D support.
85 For instance, the distance covered within the road system of that state is calculated against a point which is called “zero kilometer point” (ground zero), that is a point located by convention inside the capital of that state.
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