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Mathematical Dimensions
The first mathematician to explore the fourth dimension, William Rowan
Hamilton, was born in 1805. Hamilton was so precocious that he was reading the
Bible at the age of three, at which point he also began learning Hebrew characters.
By the age of ten he could read Hebrew, Persian, Arabic, Sanskrit, Bengali, Latin,
and Greek, as well as several modern European languages. Hamilton was so was
skilled in mental arithmetic that he was entered in a competition against a boy
from Vermont who toured as a calculating prodigy. Hamilton was disappointed,
however, when he found that his opponent seemed to have no knowledge apart
from his unusual math abilities.
While studying at university, Hamilton joined the Tractarian movement, a
religious organization, of which Samuel Taylor Coleridge was a member.
Coleridge had the notion that algebra was the science of time, and apparently this
idea had a profound influence on Hamilton who discovered a four-dimensional
manifold of numbers, the “quaternions”. Though he was a genius mathematician,
Hamilton seemed to be unable to think beyond the strictly material world, and
though he was reaching for a fourth dimension, Hamilton could not consider the
fourth dimension as “real”.
The next phase of development of the concept of fourth dimensional space was
the work of Ludwig Schlaefli, a Swiss schoolteacher. He understood that four
dimensions was the conceptual continuation of the first three spatial dimensions.
As a schoolteacher, Schlaefli was not in the company of “academics” and this may
have played a part in the fact that he was able to develop this new geometry during
his early career, before he joined the mathematics department of the University at
Bern. It is interesting that Grassmann, who also explored an ingenious algebra of
higher dimensions, was another schoolteacher whose writings were ignored for
many years. During that period, anyone who worked in these directions was
thought to be a bit mad when actually, what they were really doing, was following
an ancient tradition of relying upon pure thought to take them beyond what could
be confirmed in the sensory world.
The Magic of Abstract Thought
Many New Age Gurus teach that “higher knowledge” can only be accessed
“directly”, through the “heart”. To this end, they produce endless techniques and
rituals designed to stop thought and induce “feeling”. This is simply another
variation of the “blind faith” routine that teaches a person that only knowledge
brought directly by God is “true”, and all human knowledge is basically “bunk”.
What is interesting about this is that it is another example of disinformation – a
lie wrapped in truth to make it easier to swallow. As we have already pointed out,
most of what passes for “techniques of ascension” amounts to little more than
stimulating chemicals in the body which results in a “feel good experience”, but
which does nothing to increase the level of Being.
As already mentioned, there is a “gravity” to the realm of Non-being which is
the Thought Center that “creates” matter. Matter constitutes the predominate
nature of our reality. What this suggests is that our “field of expression” is dipolar
- gravity vs. consciousness.
The “field of consciousness” is a primary field like gravity, but we can see that it
is very little manifested in our world. This means that to move from the gravity
field of matter, one must act against a rather strong force.
The field of consciousness is that of thoughts, feelings that are not chemical,
ideas, motivations, attitudes, and such that acts on our minds/consciousness as
gravity acts on objects and masses. Just as there is gravity and anti-gravity, so
must there be consciousness and anti-consciousness as we have already described
in our discussion of Thought Centers.
The consciousness field is a mirror image of the gravity field of matter. As
above, so below. And just as in the case where great effort must be made to move
a stone uphill, so it takes great effort to move one’s motivations and attitudes and
emotions from the influence of matter into the realm of the consciousness field.
When such an uphill movement of motivation occurs, a specific effort of
consciousness needs to be made. Thoughts and ideas and concepts that are based
on material interpretations of reality require little effort. It is the reaching into the
higher realms of thought that enables us to discern when our emotions are
“material” or pure and belonging to the soul. To approach this problem without
working to create the vessel of thoughts, concepts, ideas, is again, the process of
believing lies and binding to “spiritual drugs”.
Understanding this permits us to distinguish when we are working toward higher
consciousness. Going “downward” in the field of consciousness is like going
downhill in the field of gravity: no work of lifting need be involved. Thus a
downhill motion in the field of consciousness is easy, effortless, and pleasurable.
When we go uphill in any possible field, including the consciousness field, we
need to put a significant effort (work) into this motion. This leads to the logical
conclusion that those things that increase consciousness are also difficult and go
against the gravity of the material world explanations.
There is, of course, much more to this that will be introduced in a later volume.
For now, the important point is that developing the intellect so that it can be used
as an instrument of perspicacity is one of the first requirements of spiritual
development.
So, for those New Age and fundamentalist teachers who denigrate thought,
consider the following written by another schoolteacher:
Isn’t it amazing that Newton couldn’t discover universal gravitation until 50 years
after Descartes created the mathematical method of analyzing geometric data in an
algebraic equation? It would take about 50 years for the method to disseminate,
become second nature, raise a new generation immersed it, and who then began
noticing phenomena that these new mathematical expressions did a really good job
of modeling. It was more than 40 years after Hamilton created quaternions that
Maxwell discovered how well they fit for formulating the equations of
electromagnetism. It was 50 years after Riemann created his general, curvilinear,
non-Euclidean geometry that Einstein, with help from Minkowski, noticed how
well it expressed the relations of special and general relativity.
My theory is that people can’t notice something until they have the reference point
to understand what it is they are observing. Specifically, scientists can’t notice,
“hey, these new patterns fit together” until they have a mathematics that describes
this kind of relationship as being a pattern, rather than random marks on a graph.
Think about what it would be like to discover that all of your data fit into a
parabolic shape, but you don’t know what a parabola is. How disappointed you
would be to realize it doesn’t make a straight line, when straight lines are all you
know. “I guess there was nothing to that hypothesis after all”, you say as you
discard the data. Tomorrow some brilliant mathematician will create a method of
graphing quadratic equations thinking he has invented the perfect pure math, which
couldn’t possibly have any practical application. Fifty years from now, your
grandson will review your data, or recreate your experiments. He will get the same
data points that you did, but now he recognizes the pattern as a parabola. It was a
parabola all along, but you didn’t know it, because parabolae hadn’t been invented
yet when you plotted the data.
If you don’t recognize the pattern, then your brain interprets it as random – no
pattern at all. This means you pay it no attention. In this way, mathematicians
create the world we live in. What an outrageous statement! No Physicist would
admit the validity of that, after all, they are trained to observe the real world, not
confirm some dreamer’s fantasy! Yeah, right. Only problem with that is, history
tells us that over and over, Physicists were unable to see the patterns in front of
their eyes until someone had invented a mathematics that made this kind of pattern
recognizable and distinguishable from random noise.
Therefore there is a very real sense in which the only reality we can recognize is
that of the patterns for which we have a mathematical template. Therefore we can
only observe that part of infinite reality for which some enterprising mathematician
has invented the pattern. The mathematician does NOT describe an objective
reality, which he observes; he instead creates relationships, which he considers
“beautiful”, or “elegant”, or perhaps “entertaining”. He doesn’t think his creation
has any practical application, but it always does. Because any time somebody
describes the template for a new pattern, now (in about 50 years) people will begin
noticing those parts of the infinite universe, which fit into to this new pattern.
Before they just seemed random, but now that we recognize the pattern, it’s so
obvious we don’t understand how Aristotle overlooked it. And a new generation of
historians will write books about how Archimedes was actually on the verge of
inventing this himself just before the Romans killed him.
In exactly the same way, it is by gathering information and making unprejudiced
observations while at the same time stretching the mind into the field of
consciousness, that we develop the vehicle for the Soul, which can then “know”
things by virtue of the gift of God.
Each adventurer into the world of these ideas of hyperdimensions, which now
concern us profoundly, found the trail easier to navigate as a result of the
simultaneous expansion of other branches of knowledge. For example, in
geometry it was noticed that the lines in ordinary three-dimensional space could be
regarded as elements of a manifold of four dimensions. Connections of this kind
soon made the fourth dimension acceptable to mathematicians.
Related articles
- RemovingTheShackles – “Magical” DNA- Quantum Fields And Communication – 20 August 2013 (lucas2012infos.wordpress.com)
- Consciousness I (patriceayme.wordpress.com)
- Can String Theory predict stuff? (quantumdiaries.org)
- String Theory, Black Holes, and Hidden Dualities (talesfromthelou.wordpress.com)
- The Many Levels of Consciousness & How You Manifest Your Reality! (anonymoustruthblog.com)
