Dr. Allen Klein developed two major systems of mathematics. The first is called **Multi-dimensional mathematics**, and the second is called **Infinimatics, or the Infinimatic Theory**

**Multi-dimensional
Mathematics**

In conventional analytic geometry, equations are used to
describe deiferent dimensions. In
multi-dimensional mathematics, the equations themselves are in different
dimensions. Thus, a multi-level dimensional
system can be created to model our multi-dimensional real universe. In this system, some equations can be put in
one level or dimension to describe or govern the events at that one level or dimension, and different
equations can be put into a different level or dimension to describe or govern
the events in that level or dimension.

**The Infinimatic
Theory**

The Infinimatic Theory is based on the fundamental premise
“that the universe is infinite in time and space, matter and energy.” In his Infinimatic Theory, Dr. Klein
postulates “the universe is not only infinite, it is absolutely infinite. Thus, there exist higher order
infinities.” The Infinimatic Theory includes
“infinimatics,” which is a whole new system of mathematics that describes rules,
processes, and principles for manipulating infinite quantities, and higher order
infinites.

The Infinimatic Theory also includes a model of the universe
that corresponds with Infinimatics. Dr. Klein was able to solve some of the
problems encountered in his other theories using concepts and processes from
Infinimatics.

The following are a few of the concepts described in the
Infinimatic Theory.

*Infinite Inference*. If a certain quantity of something, n, exists
in nature, and if n is greater than one, and if n may be attached to an
infinity, then by “infinite inference’, n is also an infinity (or infinite
quantity).

The two infinites may not equal each other (see inequality
of infinites). Thus, if the number of
stars is an infinity (an infinite number), and for each star, there are
approximately 10 planets, then by infinite inference, the number of planets is
also an infinity.

Thus, for example, if we find that for every one hundred
billion to one trillion stars are grouped together into a galaxy, then by
infinite inference, the number of galaxies is also an infinity.

*Inequality of
infinities*. Just because two
quantities are infinite does not mean they are equal. Two infinities (two infinite quantities) can
be different or not equal each other, but still be infinite. For example, the number of stars in the
universe is an infinity (an infinite number).
If there are approximately 100 moons for each star, then the number of
moons is also an infinity (an infinite number), but the number of moons is __not
equal__ to the number of stars.

*The inverse infinity
Absolute Zero*. Absolute zero may be
thought of as an inverse infinity. Just as a line is infinite in one direction
and we cannot reach the end of a line, we cannot reach absolute zero
temperature, absolute zero pressure, or
absolute zero energy. We may be able to
reach one-millionth of one degree K.
This is a very small number, but not the smallest. There is no smallest number. For we can take one divided by larger and
larger numbers to get smaller and smaller numbers without limit. Thus, we cannot reach absolute zero temperature. Since it is like the reciprocal of larger and
larger numbers, it may be thought of as an inverse infinity.

*Higher order
infinities*. Higher order infinities
include infinity squared, infinity cubed, infinity to the fourth power,
infinity to the fifth power, etc. These
higher order infinities may represent two dimensional space, three dimensional
space, four dimensional space, five dimensional space, etc. respectively.

The human mind can usually only comprehend three dimensions
at a time,. This does not mean higher or
more dimensions do not exist—we just
have a hard time comprehending them. In
essence, we are like an __ant on a staircase__. An ant on one step can only see the floor and
wall of that step he is on. The ant cannot see the steps above or below
him. If the ant crawls to a higher step,
he can only see that step, He loses
sight of his previous step.

Similarly, for us to comprehend higher order infinities
(higher dimensions), we must let go of
the previous dimensions. Thus, for us to
see through a telescope, we have to let go of our present world to see things
on a larger scale.

Likewise, to see smaller or lower dimensions, as we look
into a microscope, we also must let go of our present world. To see things on a subatomic scale, we need
to let go of even the microscopic scale.
There are many higher order infinities (higher dimensions) above and
below our own, we just may have to climb several steps to get there.

*Infinite conversion*. Sometimes, we encounter infinitely complex
problems. To solve such problems, we may
be able to use infinite conversion to convert the infinitely complex problem
into a finite number of infinities. We
may then use other processes of infinimatics to manipulate these finite number
of infinities into a form where we can solve the problem.

*Crossing an infinity*. Crossing an infinity is a mental leap into a
higher level of consciousness to solve a
complex problem or go to a higher dimension to solve a problem.

Einstein once said, “The problems encountered in this level
of consciousness cannot be solved in this level of consciousness.” In essence, we must go to a higher level of
consciousness.

For example, if the problem is on a two dimensional level (a plane), we
must go to a three dimensional level to go above the problem to see the
solution. Sometimes, we may need to go
to the fifth, sixth, or even higher dimension to solve a problem.

Another example: to
go from non-life to life, we must cross an infinity.