I see some properties in the mathematics,
and I compare them with physical properties of space and time. I see
definitions of time and space in the mathematics. They expand our
representations about a continuum.
Interpretation of properties of mathematical
objects with properties of physical objects is non trivial generally. This
question requires the further profound studying. The basic phenomena are
obvious directly. Some phenomena demand comparison with achievements of other
theories.
Some phenomena can be found out by means of
hearing only. I do not see associations in existing theories for them. Experts
can make forecasts and suggest scientists to check up them by means of real
experiments.
We will see process of division of a continuum
to the space and time in details – on examples of strict numerical models. We
will see a difference between the past and future times. We will understand the
reason of occurrence and localization of the space in present time. We will see
the reasons of occurrence and the structure of the inertial and the
gravitational fields. We will see other properties of a continuum. We will not
import these properties to the model directly or by means of axiomatics.
Properties of a continuum arise in strict mathematical model without our
participation.
The strict irrational mathematics allows
making the following assumption: “Transcendental relations are the basic source
of gravitation and inertia in the real world”. All kinds of relations create
continuums. Irrational or even the transcendental form of relations is not an
obstacle for continuum formation. Cardinalities of irrational relations,
including transcendental, is more than cardinalities of rational relations. We
will learn to analyze continuums of the irrational nature strictly.
Some areas of continuums or some combinations
of continuums can possess specific character and provide laws of a special
sort. The model of a macrocosm with inertia and gravitation arises in this way.
The model of a microcosm with quarks, leptons and particles of following levels
arises in this way.
The rational mathematics arises as a fragment
of development of irrational relations. Mainstay systems of rational
mathematics synthesize sets of specific laws. Branches of rational mathematics
are working much more effectively than the full irrational mathematics for
these areas – because of presence of these laws.
The rational mathematics leads to errors also.
The rational mathematics is based on an exception of consideration of all
properties of the phenomenon, except some – basic. We do not see communication
of these properties with the properties excluded from consideration.
The irrational mathematics will try to unite
knowledge from all areas of a life and activity of the human on the general
platform.
Basic invariant of the continuum allows
building the most different continuums or combinations of continuums. A variety
of continuums should approximate properties of infinity in an ideal.
