When speaking about the direction of time's progress and its
reversibility we can note the following: if a point of count off of spatial coordinates
can be joined with any spot in space and transferred arbitrarily to another spot
(following the principle of their equivalent relativity), and any such transference can
have a positive symbol, then a point of counting off of the temporal coordinate makes its
forward motion only strictly in one direction, measuring off temporal intervals of the
development of this or that system or event. Due to this the temporal point of counting
off is as if it eats intervals lying ahead of it, changing the symbol of the absolute
Time from + to - or vice versa. Hence if we agree the sum of temporal intervals remained
till some event to consider with the positive symbol then a point of counting off after
a time interval 
will convert a portion of positive intervals into negative ones. And vice versa, if we
agree to consider the duration of development of some process as a sum of positive temporal
intervals then intervals not yet added further along the line of the temporal coordinate
will be considered as negative and the instantaneous point of count off moving along the
coordinate will change the symbol of intervals from - to +. As in our practice we meet
this phenomenon constantly we should have clear knowledge about it.
?? Motion in quality.
It appears now to be impossible to describe all the diversity of Matter's
forms surrounding us only with the motion in space-time. We for sure feel the lack of
something else that would unite all phenomena happening continually in the world into
a unified chart of its creation and evolution. Such third kind of motion is the
motion of Matter in quality that is not cognised, in fact, until now, not yet
recognised formally by anyone and is being ignored unfairly by everybody. The Science,
disregarding this type of motion of Matter, is incapable even nowadays to submit
distinct, full, objective and definite explanations of causality in most events and
phenomena, that are going on around us in the Universe.
But as far back as more than one hundred years ago Leo N. Tolstoj
proclaimed that all these phenomena depend at least on three parameters: "To imagine
a person," he wrote in his famous philosophical novel War and the Society,
"completely free, not being bound by the law of necessity then we should imagine him
quite alone out of space, out of time and out of depending on causes"
(underlined by L.N. Tolstoj).
In his Philosophical Notebooks V.I. Lenin later defined
that "functionality ... can be a type of causality". And as is well known a
function is an outward display of qualitative characteristics of some object in a given
system of relationship.
But the most precise definition of obligatoriness to consider the
organisation of constructing Matter through triple motion was given by F. Engels in
Dialectics of Nature. "...There are also many qualitative changes to be taken
into account," he wrote, "whose dependence on quantitative change is by no means
proven. ... Any motion includes mechanical motion, change of place of the largest or
smallest portions of matter; to obtain knowledge of this mechanical motion is the first task
of science, but only its first task. But this mechanical motion does not exhaust
motion as a whole. Motion is not merely a change of place [that is motion in space-time -
I.K.], in fields higher than mechanics it is also change of quality."
(my emphasis - I.K.).
Among opinions on this subject of our contemporaries one should
note the definition of the Russian academician A.I. Oparin, who characterised "the
process of evolution of matter as the way of genesis of new, not existing before
qualities" (my emphasis - I.K.). Thus in order to create a full picture of
the formation and evolution of the material World it is necessary to observe the motion
of material forming in three equivalent philosophical categories: in space -
time - quality.
And indeed, everyone can be easily persuaded in this actuality
while just analysing the simplest examples. Let us imagine some close volume of space
(
),
limited for example by a glass capacity. If we start to fill this volume with some
gaseous substance, then the motion of gas inside the volume while it's filling during
n time will be observed as an absolute motion
(
,
)
of a substance of one quality (gas) in space, occupied with "pregas"
substance of another quality. After a temporal interval
, the gas
will fill the given volume completely and absolute motion in space-time for the given
portion of substance of Matter of the assigned qualitative level will terminate. In
other words, after the system condition of the given substance of similar quality in
a theoretically closed volume of space is balanced, its further absolute motion in
space-time does not exercise any more.
If that can be possible for some part of Matter during some
period of time, then the general Evolution of aggregate Matter does not permit the absence
of absolute motion in space-time since it is the principal requirement of its actuality.
That is why besides the absolute motion in space-time there is also the motion of
material forms in quality.
What should we understand with this?
According to an ordinary definition quality is a structurally
undivided combination of indications, features of some substance or a thing revealed in
a system of relations with other substances or things. Quality is the essential
determination of substance due to which it is just this substance but not any other one
and it makes certain difference with other substances. Hence each qualitative form of
Matter has its own definite composition of peculiarities and signs which it reveals while
relating with other forms of Matter. But as it is well known an external revealing of
qualitative characteristics of an object in a presumed system of relations is its
function. That is why with a change of qualitative characteristics of some
substance its functional characteristics are changing as well.
Hence a change in quality or a motion in quality
one should consider as motion in functional heterogeneity of substances realised through
systemic organisation of material forms.
At the same time the motion in quality is as tightly
linked with the motion in time as the motion in space. Without motion in
time it is impossible to imagine qualitative changes, it is an independent variable of
the said interrelation. Therefore the motion in quality one should comprehend
only as motion in quality-time.
Equally as with motion in space or time,
the motion in quality can be relative or absolute. Changes of functional
characteristics of some material formations by comparison with others are the relative
motion in quality. Summary accumulation of functional characteristics by all forms
of the aggregate Matter is the absolute motion in quality and it is important
precisely for philosophical comprehension of dialectical Evolution.
Functional features of any material formation can be revealed
only in a system of relations with other similar elements. A single, isolated material
formation cannot reveal its functional peculiarities and be used for material development.
Thus the possession of quality or a functional definition dictates to every element the
necessity to be included into some system of relations with other material formations, and
in the process of those relations its inherent features are realised. Due to this principle
the motion of Matter in quality entails a compulsory systemic composition of material
forms being at the same time its main reason. All elements of known systemic formations
depending on their functional peculiarities make different spatial-temporal displacements
during which their peculiarities are revealing. The said displacements strictly correlated
with spatial-temporal intervals of absolute motion in space-time are representing
functional algorithms while every algorithm is pre-determined by functional
characteristics of this or that material formation in a given system of relations.
The absolute motion in quality constantly adds these or
those features to material formations being in that way the reason of appearance of new
functional algorithms which in their turn are leading to the organisation of new systemic
structures. So the motion of Matter in quality-time determines the permanency
of the process of systemic organisation of material forms in that degree in which the
quality itself serves as a determinant of systemness of the Evolution of Matter.
Evolution.
The three forms of motion of Matter examined by us one can consider at the
same time as her unified motion in the three equivalent philosophical categories united
by the common attribute belonging to Matter. This unified motion itself regulated by
strictly definite rules is directed to provide the existence of Matter itself spread
along the objective reality.
Furthermore, the motion of Matter in three categories ensures
not only her existence but it is leading as well to the evolution of her structures'
organisation. That is why any modification of structural features of Matter happens as
a consequence of motion of her forms in space-time-quality through augmentations
along three coordinates:
qualitative, temporal and spatial (disintegrated into three components). The general
resulting line ultimately would be a tensor of the Evolution of Matter. Thus one can
interpret the Evolution of Matter in a simplified manner as a regular appearance of new
qualitative features ,
their stretching in space 
, for which they need certain time . Without motion of Matter through her forms in
quality-space-time neither the evolution nor even her existence is possible:
a) motion in quality
(
) - is realised
by means of the modification of functional characteristics of one system of material
spots or localities in comparison with another one. This motion originates qualitative
heterogeneity of the Evolution and its systemic organisation;
b) motion in space
(
) - by means of
displacement of one material spot or locality (or a system of spots or localities)
relatively another one. By this kind of motion the voluminity of the Evolution is
being achieved;
c) motion in time
(
) - fixes duration
of events and is passing from the past through now to the future.
By this motion the Evolution's irreversibility is secured.
All the three forms of motion in the aggregate are dictating
the direction of the tensor of Matter's evolution which sense formula is the following:
It is necessary to underline once again that all events of
material reality have as their basis an obligatory combination of all three forms of
motion. An exclusion from this triune motion of motion in quality
(
)
or in space (
) can be only temporary. In reality there are no events without
motion in time. Motion in space can be considered as a derivative from
motion in quality which in its turn can be considered as a derivative from
motion in time. The motion in time itself is derivative from motion
in space as well as from motion in quality. Without both those motions
motion in time does not exist.
An abstraction from one of the forms of motion would give
us particular episodes:
a) in a hypothetically closed space
()
- "a diagram of evolution 
", that is the sequence of qualitative
augmentations in time and their duration;
b) in a hypothetically frizzed time
(
)
- "an actual or a historical stop-picture 
", that is spatial expansion
of qualitative forms at a particular moment of time;
c) in a hypothetically limited
qualitative spectrum () - "the mechanical motion
",
that is a displacement of a material spot (or a system of spots)
relatively a spot of counting off.
Any from the above said abstractions can be entirely theoretical
or artificial because in the genuine World the motion of Matter is realised in all the
three categories generating systemic formations containing two interlinked components as
minimum relative each one to the other in space-time. The elements, being united into
a unified system and possessing definite functional features, acquire an intrasystemic
potential determining the nature of their motion in space-time and regulations
of their intrasystemic existence. Any modification of systemic organisation of material
formations, its complication and improvement, are real results of the motion in
quality-time. Peculiarities of precisely this motion, its driving force
and structural mechanics, we shall be examining in the course of our research.
Energy.
The description of forms of Matter will not be complete if we do not
analyse one more very important philosophical category - energy.
Energy in the general understanding is a measure
of motion of Matter. Another definition characterises it as a function of
condition of a system.
The motion of Matter in quality-space-time is going on not
capriciously but complying with the severe law of constancy of the sum total of energy. And
if for an inertial material spot moving evenly straightforward the magnitude of energy is
simple and equals Ek, then for a system of a great number of spots the quantity
of energy will be expressed by the formula:
This formula in a certain way discloses the mechanism and
intercausation of all forms of motion of Matter as well as its regulations. Substituting
in the formula the expression of value of velocity 
, we shall receive the regularity of the absolute
motion of material forms in space-time. For an uncoordinated multitude of spots the
total energy will be:
where mi - a sum of qualitatively similar spots.
A combination of a number of spots into some stable (that
is having a definite temporal interval) system, pre-determining the character of their
motion in space-time, originates a kind of a material point of a higher organisational
order with its own functional features and with potential energy Epi.
Meanwhile Ek of the whole system will decrease and a total energy will
be characterized by the detailed formula.
If the entire sum of a multitude of uncoordinated spots will
unite into an integral system constituting a unified material point or a sum of points
of a higher order (with obligatory change of their functional characteristics), then a
total summary kinetic energy of this multitude of spots of a qualitatively lower order
will turn into potential energy of the point-system of a higher organizational order,
that is as though the kinetic energy of uncoordinated spots or particles gets completely
stuck in a systemic structure they are inserted in, turning into energy of intrasystemic
connection.
And vice versa, during desintegration of a material system
of a higher order its potential energy of intrasystemic connection is being transformed
into the kinetic energy of a multitude of spots of lower systemic order. As prototypes
of described processes can serve reactions of synthesis and desintegration in physics
phenomena, association and dissociation - in chemical ones, etc.
As a whole the energy constant affects most directly both the
motion of material forms in space-time and their systemic reorganisation during
motion in quality-time. Due to this an isotropic and volumetric space of every
preceding systemic organisation of level n appears to be a field of growth of entropy
of succeeding qualitative levels of the evolving aggregate Matter in proportion as even
temporal intervals are running while a constant sum of energy of the whole Material
substance secures a static balance of this Evolution.
[ To Contents ]
[ Part II ]
.
Motion in time.
As it is well known any motion in space is tightly linked with
the other form of motion of Matter - the motion in time. Any combination of
these two motions creates an event.
.