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WHY IS SPACE SQUARE..?
...and how it causes
the "cruciform"
shape of the Human Body
and results
in the scientific proof
of God (SPOG)
[Hammond]
...........As an
example, many PhD's in Physics are familiar with General Relativity,
but few of them can tell you why real space is Riemannian (i.e.
has
a quadratic, "square", metric), yet, this is one of the most fundamental
questions underlying General Relativity in the first place.
In fact, it is the answer to "why there are no 3-legged
animals", and
this common and blatant fact is in itself one of the most elementary
arguments that it is the geometry of space that causes the cruciform
shape of the human body.
As an example of what you have to know in order to understand
a
simple fact such as why there are "no 3-legged animals" is the
fact
that:
A SOLID OBJECT CANNOT BE ROTATED
IN NON-RIEMANNIAN SPACE
Now, for the amateur, let me point out that the terms:
Euclidean Space
Cartesian Space
Pythagorean Space
Riemannian Space
ALL MEAN THE SAME THING vis a vis one fundamental fact:
They all refer to spaces that
have a "homogeneous quadratic
metric".
The simplest example of a "homogenous quadratic metric" is simple
Euclidean space:
dR^2 = dX^2 + dY^2 +dZ^2 (Pythagorean theorem)
Note that this is the equation for a SQUARE. The Pythagorean
Theorem is just the equation for the diagonal of a SQUARE or a
CUBE.
This is why we say space is "square"... simply because this law
is
known to hold true in real space.
All 4 of the above spaces are referred to as "Riemannian"
for
this reason. Euclidean space is merely a special case of
a Riemannian space that has zero curvature (flat space).
However, there are non-Riemannian spaces. For instance
if
you define the line element to be:
dR^3 = dX^3 + dY^3 + dZ^3
this is a NON-RIEMANNIAN METRIC (it is not a quadratic form).
It will NOT give you the correct length of a diagonal for a
square or a cube.
Interestingly, HELMHOLTZ apparently was the first to show that:
YOU CANNOT ROTATE A SOLID BODY
IN A NON-RIEMANNIAN SPACE:
See: http://www.bun.kyoto-u.ac.jp/~suchii/R&H.html
This was later proven rigorously by Weyl and others.
For instance Weyl in Space, Time & Matter (1920)
discusses in the closing pages of ChII, Riemann's
famous remark that:
The metric of real space "might be a homogenous
function of the 4th order in the differentials,
or even a function built up in some other way,
and that it might not even depend rationally
on
the differentials."
(Weyl, quoting Riemann, ibid ChII, pp 138-148)
Weyl goes on to demonstrate that the "rotation group" requires that
the metric be a QUADRATIC form, and has proven this for 3 dimensions
(the case under discussion here).
Finally of course, for the benefit of eager PhD's in physics
lest
they make the same amateur error Dr. Xxxxxx Xxxxxx has recently
made,
"curvature" is not the issue here, the existence of a "quadratic
metric" is the issue. Any space that DOES NOT HAVE a quadratic
metric is non-Riemannian, and of interest, is the fact that:
YOU CANNOT ROTATE A SOLID BODY
IN A NON-RIEMANNIAN SPACE
This of course, tells us WHY "Real Space" has to be Riemannian.
If it were not Riemannian (square), you couldn't even turn your
head!
Incidentally, also included in the definition of Riemannian, is
the fact that the metric, even when there is curvature present,
MUST reduce to a pure Euclidean quadratic for small distances.
This is a fundamental theorem in general Relativity where it is
known as the "Equivalence Principle".
At any rate, getting back to the matter of "why there are
no
3-legged animals", what we see is the following. First, real
space is Riemannian, which means that it is Euclidean to first
order. Real (3D) space, locally obeys the Pythagorean theorem
(and we have just finished explaining WHY):
dR^2 = dX^2 + dY^2 +dZ^2 (Pythagorean Theorem)
Now, it is well known that several simple "Coordinate systems" can
be constructed in such a space:
Cartesian coordinates
Polar coordinates
Cylindrical coordinates
Spherical coordinates
and all of them obey the "quadratic metrical law" of REAL SPACE.
Now here comes the interesting part. A MACHINE it
turns out
(in it's simplest form) is nothing more than a "mechanical
coordinate system". Which means that all "simple machines"
that
we see are generally one of the above 4 mechanical structures.
For instance we all remember being told about "simple machines"
in grade school:
Lever =
1-axis Cartesian coordinate machine
Pulley =
Polar coordinate machine
Screw =
Cylindrical coordinate machine
Wheel =
Polar coordinate machine
We see that the "simple machines" are all simple mechanical
models of the fundamental (Euclidean) "coordinate systems".
The same holds for more complicated machines:
Gears =
Polar coordinate machine
Jib boom = Spherical
coordinate machine
Ball bearing = Spherical coordinate machine
Airplane = 3-axis Cartesian
coordinate machine
Human Body = 3-axis Cartesian coordinate
machine
etc.
OBVIOUSLY, the most common of all is the "Cartesian machine"
or SQUARE MACHINE. Cartesian coordinates may also be called
"cruciform coordinates", in fact we see, that the Cross of
Christianity is nothing more than the "Cartesian coordinate
system" itself. And, as histories number one Psychology instruction,
a person has been traditionally nailed to it for 2,000 years
to dramatically demonstrate the Cartesian geometry of the human
body,
brain, Psychology, and God to the ignorant and terrified
population. Let us hope, after the establishment of the scientific
explanation of God, this historical abomination can be removed
from the True-Cross perhaps by Vatican decree.
For instance a t.v., typewriter, airplane, even a fish,
are all "square machines":
http://proof-of-god.freewebsitehosting.com/Fig1.jpg
Obviously, the CARTESIAN MACHINE or SQUARE MACHINE is the
simplest kind of machine to mechanically construct. It is
for this reason that the BODY PLAN of all living things, both
plants and animals is Cartesian (Square). Life forms, that
is Plants and Animals are "Cartesian Machines", and this
notably includes HUMAN BEINGS.
See:
Plants:
http://proof-of-god.freewebsitehosting.com/SEED.jpg
Vertebrate body:
http://proof-of-god.freewebsitehosting.com/Fig2an3.jpg
(Note orthogonality of Medial, Transverse and Horizontal
septum's which intersect at right angles to form the 3
Cartesian body axes of the generalized vertebrate body plan)
Humans:
http://proof-of-god.freewebsitehosting.com/ILLU1.jpg
(Note Cartesian axes of the human body, Spinal,
Bilateral, Dorso-ventral)
Because a square is bilaterally symmetric, all of the higher
Animal Phyla are BILATERAL (7 out of 9 Phyla) in fact only the
two lowest animal Phyla (jellyfish) which are after all "legless"
animals to begin with,
are not Bilateral (they are radial). Any animal with "legs"
is
Cartesian and therefore Bilateral, and the "legs" will appear in
Bilateral pairs. Starfish actually have a bilateral larval
form.
Therefore, there "is no such thing as a 3 legged animal".
The
"Cartesian Body Plan" cannot produce such a thing, and furthermore,
it defies the "quadratic geometry" of the space which produced
the
"Cartesian Animal' in the first place. In a bilateral or
"cartesian"
machine standing in a plane, 4 is the minimum number of legs that
will produce stability. 3 is not possible because bilateral
symmetry (cartesian symmetry) is imposed.
Now, beyond all this, what we see is that the "geometric
properties
of space itself" are the CAUSAL FORCE that determines the geometrical
shape of the human body. Because of this, it turns out that
the
"geometrical shape of the brain" is also determined and is found
to
be "3-axis Cartesian" in SHAPE (notice I said SHAPE, not volume).
The Brain actually has Axes of mechanical symmetry, just like
the Body:
Human Brain:
http://proof-of-god.freewebsitehosting.com/ILLU2.jpg
http://proof-of-god.freewebsitehosting.com/Fig14.jpg
http://proof-of-god.freewebsitehosting.com/Fig15.jpg
(Note the mirror symmetric motor sensory map of
the body in the brain in the above two URL's)
The structure of the brain is "3-axis Cartesian"
because of this, and produces a 3-axis Cartesian
structure in Psychometric eigenvector space)
Ultimately, this leads to a 3-Axis Cartesian structure in
Psychometric (eigenvector space), see:
http://proof-of-god.freewebsitehosting.com/ILLU4.jpg
And therefore, we see that the whole mathematical
geometry of PSYCHOLOGY is caused by the mathematical geometry of
REAL SPACE itself.
Finally, in one of the most stunning developments of modern
science, Hammond (1994, 1997) has discovered that because REAL
SPACE causes the structure of PSYCHOLOGY SPACE, that there is
a "curvature" in psychometric space which is caused by the
"curvature" of REAL SPACE. And to sum it all up, since this
curvature in psychometric Space is easily and IMMEDIATELY
identified as "God", we see that "Gravity is the cause of God".
IOW, the scientific proof of God has been discovered.
Now as you can see, God is not about to be readily understood
by a
layman. A layman cannot even figure out why there are no
"3-legged"
animals! If Dr. Xxxxxx Xxxxxx is any example, some PhD's
in Physics
can't even understand it.
Finally, lest anyone get the idea that this discovery only
points to
some exotic relativistic quantity that cannot really be demonstrated
to be "God", let me point out that Gravitational Curvature is only
the "ultimate" explanation of God, in fact, the Secular Trend in
brain
growth turns out to be the direct biological cause of God, see:
Growth curve deficit:
http://proof-of-god.freewebsitehosting.com/growth5.JPG
Secular trend in growth:
http://proof-of-god.freewebsitehosting.com/seculartrend.jpg
IOW, as Sir Roger Penrose pointed out in Shadows of the Mind
(1994), Gravitational Curvature on the quantum level ('brain gravity')
mediates brain growth itself and mediates both the Secular Trend
and
the Flynn Effect. Brain growth (percentage wise) can be easily
seen
to provide a compelling and elementary explanation of the history
of "God" and an explanation of the Bible, miracles, revelation,
Creation, Heaven, Eternal Life, etc. etc. This understanding
is well
within the grasp of scientific layman, even if they can't understand
how
"Gravity" causes it (see my website below for details).
So, the message remains, for any one who is actually seriously
interested in whether there is a God or not, that- The scientific
proof that there is an ACTUAL REAL GOD has been discovered, found
to
be an axiomatic law of Physics, and has been experimentally confirmed.
--
Be sure to visit my web site below
-----------------------------------------------------------
George Hammed, M.S. Physics
Email: ghammond@attbi.com
Web site: http://proof-of-god.freewebsitehosting.com
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