As has already been shown, there exists no infinite time. To the mechanisms of our mind, the mathematical concept of infinitude is ultimately necessary also from a philosophical standpoint, for it indirectly mirrors an objective reality, that of an apparent infinitude of the world viewed from the space-time existence.The concept of infinitude is necessary just because the reflections induced in our mind, the contradictions it may cause, like (VII), should permit us to have certain philosophical insights into reality.
Such an insight would be to seize an orthoexistence, which is conducive to a space-time existence compatible with the fundamental experiments (II) and (VI) provided that we admit the objective presence of the orthoexistence. Orthoexistence must therefore belong to the real world. It cannot be just a philosophical operator.


5. Let us now approach some aspects of the infinite time. We have already observed that an existence like our universe contains its own space and time. We have likewise seen that we have no information about other possible similar existences, and can only infer that they are. Let us assume that in our existence the principal laws vary by 1/r2. However, there might be laws2 varying by 1/r3, 1/r4,...,1/rn. Or how can we know that the law of our existence does not actually vary with time by 1/rn(t)?
In terms of space, two main methods would be available to cover a set of universe-existences. In the first model, which has been devised earlier (Fig. 55), each universe (space-time)-existence is rooted into orthoexistence with its own space and time. In the second model, there are hosts of universes-existences (Fig. 56), each of which being governed by its own laws and occupying a finite space against an over-all infinite space. During its evolution each universe-existence develops its own finite space, which vanishes with this universe-existence. Could then there really exist an infinite space, given that each existence would be associated with a finite space ? This would be tantamount to admitting (according to Fig. 56) that space would be also outside universe-existences and that it would be a property of orthoexistence. The assumedly infinity space of the orthoexistence would contain an infinity of universe (space-time)-existences. Indeed, by admitting an universe-existence, and then another, and still another, a.s.o., then we have to accept an infinity of universe-existences, and hence an infinite space. The universe-existences succeeding each other at a point of the space of orthoexistence will be subject to different laws from one to another. But as this implies succession, we should attach time to orthoexistence. This time must be assumed to be infinite in both ways. Hence, orthoexistence would appear to be infinite in time and space and existences are finite in time and space. This would mean to regard space and time as absolute entities which may be without universe-existence at all (there may be a time of orthoexistence and no universe-existence at all), hence without being the attributes of an universe-existence. Space and time are therefore attributes of orthoexistence. However, as space and time pertain to orthoexistence, we have to revert to the questions discussed in section 3. How can something, even an orthoexistence, be from t = -infinite, i.e.ever ? Under experiment (VI) one cannot accept that orthoexistence is since t = -infinite. How could we commit our mind and being that something be since t = -infinite ? Then orthoexistence would have arise with time. Otherwise stated, orthoexistence would actually be a space-time existence and we would revert to the starting point and be again in search of something beyond such an existence. We therefore have to come back to the idea that orthoexistence contains an additional coordinate which is independent of space and time. Through universe-existence, orthoexistence can however be refererred to the time of this existence, but as soon as universe-existence is over, time is likewise over, and orthoexistence is left on its coordinate. Viewed from our universe-existence, from our time, orthoexistence appears to be ever. This explain why the idea of infinite time is born in our mind, a real dialectical contradiction of the material world being mirrored in (VII).
This course of reasoning suggests that orthoexistencemust contain a certain source, a source of time, hence a rudimentof time. Similarly, it must contain also a rudiment, a source of the space which may arise in an universe-existence.



Fig. 56

Orthoexistence must contain the whole conservationmagnitude (XIII). The immediate question is:

Can orthoexistence have this magnitude along its own coordinate, being a magnitude distributed over its own dimension ?
or
Does it contain this magnitude in the three-dimensionalspace ?
Assuming that the magnitude is contained in the three-dimensional space, it would then appear as a state and would then be something of the order of universe-existence. We are thus forced to admit that orthoexistence has a "coordinate" of its own. In this case, if the universe would undergo an expansion and a subsequent concentration until it would become point-like, then either this point would be a point in a space or, given the concentration to the limit, space were no longer meaningful. In this case, we would have to consider the own dimension of orthoexistence, or the above mentioned rudiment of space.

That reason cannot work by regarding space as independent of time is well known. Rejecting the idea of the infinite time of an universe-existence, we cannot accept that there is an infinite space of a such existence. Any universe-existence is finite in space and time. The model given in Fig. 56 is impossible, though the universe-existences associated to this model are finite in space and time, because, as has already been shown, it is incompatible with our fundamental experiments. Hence, there can exist no infinite space, although regarding from our universe-existence the source of this and of space, their source generates in our mind an infinite space. This contradiction mirrors a profound aspect of the world.
Outside an universe-existence, orthoexistence does not unfold in space. It is only through an universe-existence that it "comes to know" space. However, orthoexistence contains the reservoir of space under a form so far unknown to us. This reservoir must contain the storing-up source of the material substances and of the energy in existences. The changes taking place in the orthoexistence or between orthoexistence and universe-existences presuppose successions in which, as has already been shown, rudiments of time are implicit. The principles of space and time spring from the profundities of the material world, where they do not actually exist, but their sources give us an image which our brain sometimes reflects by infinitudes.


The Philosophical Experiment 90