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WHY SPACE IS 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), and of course, 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".

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).

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 Ch.II, 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, idid 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.

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 Jewish 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 Pagan

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 "Cartesian machines":

http://people.ne.mediaone.net/ghammond/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://people.ne.mediaone.net/ghammond/SEED.jpg

Vertebrate body:

http://people.ne.mediaone.net/ghammond/FIG2AN3.jpg

(Note orthogonality of Medial, Transverse and Horizontal

septums which intersect at right angles to form the 3

Cartesian body axes of the generalized vertebrate body plan)

Humans:

http://people.ne.mediaone.net/ghammond/ILLU1.jpg

(Note 3-Cartesian axes of the human body, Spinal,

Bilateral, Dorso-ventral)

Because of this, 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 3-Axes of mechanical symmetry, just like

the Body:

Human Brain:

http://people.ne.mediaone.net/ghammond/ILLU2.jpg

http://people.ne.mediaone.net/ghammond/FIG14.jpg

http://people.ne.mediaone.net/ghammond/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 Psychometry eigenvector space)

Ultimately, this leads to a 3-Axis Cartesian structure in Psychometry

(eigenvector space), see:

http://people.ne.mediaone.net/ghammond/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 psychometry space which is caused by the

"curvature" of REAL SPACE. And to sum it all up, since this

curvature in psychometry 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, a run of the mill PhD

in Physics can not 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. In other

words, 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 (percentagewise) 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.

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.

*This statement refers to "multicellular"

plants and animals, not bacteria, virus' etc.

-- Be sure to visit my website below, and please ask your news service provider to add alt.sci.proof-of-god ----------------------------------------------------------- George Hammond, M.S. Physics Email: ghammond@mediaone.net Website: http://people.ne.mediaone.net/ghammond/index.html -----------------------------------------------------------

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