At a certain moment, there will be a mixture (reunion) of material systems with various organization levels found in a limited examination volume (precinct). It might be assumed that this volume has a dimension which allows only MO-type or less-sized systems (AT, NC, EP etc.) to be placed inside it. However, in case of MO and AT systems, this system shall comprise - under atmospheric pressure conditions - a significant number of specimens. We may assume that the number (cardinal) associated to each set of systems with XY organization level would be known (where XY may take one of AT, MO, EP values, etc) which may be included into the examination zone; these are finite sets (the examination zone is finite). If the set of XY systems is void (null cardinal), it might be stated that the examination zone is a “XY systems void”. Practically, the void (vacuum) is a space from which AT-type systems or the larger systems should miss.
Some observations need to be promptly made:
The “void” notion is a property of a confined space (of a precinct), that is the incapacity of containing a certain type of objects (the set of the contained objects is void);
This property is relative at a reference which consists of a certain organization level of the systems removed from the precinct. For example, a sterile space is a precinct where there is no kind of living bio-system (we may consider that the precinct is void from living organisms, regardless of their organization degree). If the intention is to create a space void from AT systems, then, these systems (reference level) and the ones with a higher level of organization should not be present in that space.
It is very difficult to effectively build a space which is completely without MO or AT systems, therefore, a compromise is made: the decrease of AT systems number from the voided space under a certain value (indirectly determined by means of pressure). This value of the pressure from the precinct becomes the void degree, or, as a noun, “the void”. The people have a tendency (wrong) to separate the properties of some objects from their holder, as if these properties would be able to have a free existence. This is what it happened with the void.
Even under the hypothetic situation of a perfect void realization of AT systems, this void refers to AT or to larger systems, but not also to the systems with a lower organization level, and obviously, with much small sizes (NC, EP etc.);
If as a result of using special techniques, a void would be created at EP level, it still cannot be stated that this space does not include material systems with deeper organization levels (currently unknown).
Comment 1.5.1: If we take as example an empty flat room (vacuumed from any abiotic or biotic objects) this “void” refers to the macroscopic, visible objects, but not to the huge number of gas molecules from that room, which our senses are not able to detect them directly. The situation with the void at EP level is absolutely similar, the current scientific means being unable to reveal the existence of PBM elements.
As a consequence of the above mentioned issues, SOP acceptance leads to the denial of the absolute void existence (of a space where there is no kind of material system). Likewise, a property of a finite space, that is the capacity of containing a low or null number of atoms, cannot be considered as a basis for deploying real propagation processes, such as the propagation of photons, of the electromagnetic waves or of the gravity interactions.
The fact that Michelson-Morley experiment did not reveal a motion against the ether at the surface of the Earth, it is not necessarily a proof that the ether does not exist, but rather a proof that our mental model regarding this medium and regarding what propagation or displacement really mean in relation to it was not correct at that moment. On another occasion, we shall see that the objectual philosophy proposes another interpretation of the properties of this medium.
However, a barren foray through the field of mathematical definitions of the basic concepts belonging to the structure of the objectual philosophy needs to be done next. There is an attempt in making a compromise between rigor and conciseness for presenting these mathematical models, so that the reader to understand fast and easy the essence of the presented concepts. Due to these reasons, the presentation style is different from the style of classic mathematical papers, although the mathematical models are approached.
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