to this table the Minkovski formula √−1 ct, denoting time as the fourth "world" coordinate. The "world" of Minkovski in my opinion corresponded precisely to each of the cosmoses separately. I decided to begin with the "world of electrons" and to take as t the duration of the life of an electron. This coincided with one of the propositions in the
In the next cosmos this should be the distance that light travels during the life of a
molecule; in the next—during the life of a small cell; then during the life of a large
cell; then during the life of a man; and so on. The results for all cosmoses should be
obtained in lineal measurements, that is, they should be expressed in fractions of a
kilometer or in kilometers. The multiplication of a number of kilometers by √−1
lineal measurements and that the figure obtained is a
another dimension.
In this way, in relation to the cosmos of electrons, the Minkovski formula takes the
following form:
√−1. 300,000. 3.10-1
that is, the square root of minus one, which has to be multiplied by the product of 300,
000, that is c, or the speed of light, 300, 000 kilometers per second, and 1/300, 000,
000 second, that is, the duration of the life of an electron. Multiplying 300, 000 by
1/300, 000, 000 will give 1/1000 kilometer, which is one meter. "One meter" shows the distance which light traverses during the life of an electron, traveling at the speed of 300, 000 kilometers a second. The square root of minus one, which makes "one
meter" an imaginary quantity, shows that the lineal measurement of a meter in the
case in question is a "measure of time," that is, of the fourth co-ordinate.
Passing to the "world of the molecule," we obtain the Minkovski formula in the
following form:
√−1. 300,000.
1/10,000
One ten-thousandth part of a second, according to the table, is the duration of the life
of a molecule. Multiplying 300, 000 kilometers by 1/10, 000 will give 30 kilometers.
"Time" in the world of molecules is obtained in the form of the formula √−1. 30.
Thirty kilometers represents the distance which light travels during the life of a
molecule, or in 1/10, 000 second.
Further, in the "world of small cells" the Minkovski formula takes the
following form:,——
√−1/. 300, 000. 3 or
√−1. 900, 000
that is, 900, 000 kilometers multiplied by the square root of minus one. 900, 000
kilometers represents the distance which light travels during the life of a small cell,
that is in 3 seconds.
Continuing similar calculations for the further cosmoses, I obtained for "large cells"
an
"Microcosmos" a sixteen-figure number, showing the distance in kilometers which light travels in 80 years; for the "Tritocosmos" a twenty-figure number; for the
"Mesocosmos" a twenty-five-figure number; for the "Deuterocosmos" a twenty-ninefigure number; for the "Macrocosmos" a thirty-four-figure number; for the "Ayocosmos" a thirtyeight-figure number; for the "Protocosmos" a forty-two-figure number or √−1
1041; in other words it means that during the life of
the "Protocosmos" a ray of light travels 900, 000, 000, 000, 000, 000, 000,-000, 000, 000, 000, 000, 000, 000 kilometers.1
The application of the Minkovski formula to the table of time, as I had obtained it, in
my opinion showed very clearly that the "fourth coordinate" can be established only for one cosmos at a time, which then appears as the "four-dimensional world" of
Minkovski. Two, three, or more cosmoses cannot be considered as a "four-dimensional"
world and they require for their description five or six co-ordinates. At the same time
Minkovski's consistent formula shows, for all cosmoses, the relation of the fourth coordinate of one cosmos to the fourth co-ordinate of another. And this relation is equal to thirty thousand, that is, the relation between the four chief periods of each cosmos and
between one period of one cosmos and the corresponding, that is, the similarly named,
period of another cosmos.
1 But according to the latest scientific conclusions a ray of light travels in
000 light years. 1, 000, 000, 000 light years represent in this case the circumference of the universe, although the opinions of various investigators differ widely and the
figures relating to the circumference of the universe can in no way be considered as