Note: Revised 4-28-2002
 

               Proof that God=G_uv

  The document presented at:

http://oocities.com/scientific_proof_of_god/georgefile.html

presents the basic outline of the Scientific Proof of God.
   This outline shows that the Cartesian structure of
space itself is the physical cause of the Cartesian structure
of the Brain, and therefore the Cartesian structure of
Psychometry space.  The theoretical reason for this may
be explained as follows:  As we know, the ordinary space
of common experience is Euclidean (Cartesian), which means
that the Pythagorean Theorem holds: r²=x²+y²+z²
This is just the equation of a circle or a sphere, and for this
reason euclidean Space is universally referred to as the
"space of rigid body rotations" (it is also the space of rigid
body translations too, for the same reason).  With any other
metrical law we would not be able to rotate or translate a
rigid body in space without deforming it.  Helmholtz, Riemann
and Weyl proved this long ago.  This fact is what causes
Nature to impose a Riemannian-Euclidean metric (quadratic
metric) on spacetime, which means the metric must not
only be quadratic but that it must reduce to the familiar
Euclidean metric in 3D space.
   OK, knowing then that Nature physically imposes
(somehow) a Euclidean metric on the space of ordinary
experience; we also know that there are only 4 "simple"
coordinate systems possible in Euclidean Space:  Cartesian,
Polar, Cylindrical and Spherical.  Furthermore, elementary
mechanics teaches us that the "simple machines" are simply
mechanical realizations of these "simple" coordinate systems.
A Brick is Cartesian, a Wheel is Polar, a Screw is Cylindrical,
a Ball Bearing is Spherical.
  Obviously however, the Cartesian Machine is the simplest and
most common.  It is for this reason that Nature uses the
Cartesian Body Plan to construct all (multicellular) Plants and
Animals.  All (multicellular) Plants and Animals are CARTESIAN
MACHINES.  See:

Plants:
http://oocities.com/scientific_proof_of_god/SEED.jpg

Animals:
http://oocities.com/scientific_proof_of_god/EMBRYO.jpg
http://oocities.com/scientific_proof_of_god/ILLU1.jpg
http://oocities.com/scientific_proof_of_god/Fig2an3.jpg

This "cartesian machine" structure of the human body is
what causes the Cartesian structure of the brain:

http://oocities.com/scientific_proof_of_god/ILLU2.jpg

and this causes the Cartesian structure of Psychometry
Space:

http://oocities.com/scientific_proof_of_god/ILLU4.jpg

   OK, so we have now shown that the Cartesian Structure
of Real Space causes the Cartesian Structure of Psychometry
Space.  So far we have only been talking about 3D space,
however, it turns out that there is a 4th dimension in Psychometry
popularly known as IQ or Intelligence.  The core of this quantity
is called "psychometric-g", and it is a more accurate measure of
actual intelligence, since it parcels out all of the learning and
social bias in IQ tests.  In fact, it has been discovered that
g is mainly caused by "mental speed"... yes, ordinary speed
as measured in bits per second processing speed.  They have
been 40 years proving this and developing the computer methods
to measure it, but it has now been proven, that "mental speed" is
the major biological component of what we call Intelligence.  Fact is,
this came as no surprise to anyone, since low intelligence people
have been called "slow" for a thousand years.
   Anyway, since speed=time^-1  this means that while E,N,P the
Personality dimensions, are caused by the 3 space dimensions
X,Y,Z, that now obviously, IQ (or g) is caused by the "time dimension"
of space.  In other words X,Y,Z,t causes E,N,P,g.  The 4-metrical
variables of SPACETIME cause the 4-metrical variables of
PSYCHOMETRY.
   Well.... this obviously points to something rather stupendous.  What
it means is that the fabulous and famous "curvature of spacetime"
probably causes a "curvature of psychometry space"... and guess what...
it does.  and that curvature causes another "higher order" Factor in
Psychometry...and guess what that factor is.... yup... that factor is GOD.
The outline of the scientific proof of God that I mentioned
above explains WHY this factor is "God".. mainly because it is biologically
brain growth, and brain growth easily explains "God"... but here we
are discussing how we determine "mathematically" that this factor
we identify as "God" is actually caused by Gravity.  To do that
what we do is compare the two metrics- the metric of spacetime
with the metric of Psychometry space.  these two metrics are represented
by two famous equations, one from General
Relativity, and one from Psychometry.  The first is Einstein's well
known linear expansion of the gravitational metric for weak
gravitational fields (Einstein [1922] 1996, 86). This expansion was
first used in his original 1916 paper and is well known to Physics:

| 1+a        (g_ij)|    |1          |   |a       (g_ij )  |
|     1+b        | =  |   1       | + |    b        |
|         1+c    |    |      1    |   |        c    |
|            -1-d|    |  &nnbsp;      -1|   |   &nbssp;       2P|

Linearized metric  =  flat metric   +  gravitational terms

The second equation is Thurstone’s classical expansion of the Correlation
matrix into Specific and Common (higher order) Factors. This is the
founding equation of Factor Analysis in Psychometry and is likewise well
known (Thurstone 1947, 81 Fig. 8):

|1     (r_ij)|    |U₁₁²                |    |h₁₁²            (r_ij)|
|   1      |  = |     U₂₂²           | +  |     h₂₂²           |
|      1   |    |          U₃₃²      |    |          h₃₃²      |
|         1|    |               U₄₄² |    |               h₄₄² |

correlation   =       specific         +      common factor
  matrix               matrix                     matrix

Ok, what we want to do is identify Thurstone's equation with Einstein's equation,
and we notice that the unity normalization has to be shifted to the specific
matrix to do this.  So, by virtue of the fact that U²+h²=1, we may simply add
a diagonal matrix, [h_ii²], to each side of Thurstone's equation and get:

|1+h₁₁²      (r_ij)|    | 1            |    |h₁₁²           (r_ij)|
|   1+h₂₂²       |  = |    1         | +  |     h₂₂²           |
|      1+h₃₃²    |    |        1     |    |          h₃₃²      |
|         1+h₄₄² |    |            1 |    |               h₄₄² |

   Metric       =       specific      +       common factor
   matrix                matrix                   matrix

Now we see that Thurstone's equation is directly comparable
to Einstein's equation, and is in fact the 4x4 "Metric" of
Psychometry space.  What we have here then is the 4x4 correlation
"metric" of E,N,P,g in Thurstone's equation and in Einstein's equation
we have the 4x4 scalar product metric of X,Y,Z,t.  In other words,
we have a direct comparison here of the "spacetime metric" and the
"Psychometry metric", and as we have just shown above, real space
physically causes psychometry space, so therefore Einstein's
equation physically causes Thurstone's equation, i.e. the spacetime metric
physically causes the Psychometry metric.
  OK, having set up the two equations for comparison, what we
notice is that P in Einstein's equation, which is of course the classical
Newtonian gravitational potential, is in the same location in Thurstone's
equation as the quantity h₄₄².  This tells us that the two equations will be
the same if:

                           2P=h₄₄²

However, because Einstein’s equation contains scalar product matrices,
and Thurstone’s correlation matrices, we find that actually we have the
case h₄₄=P. This is because statistical variables add as the root mean
square whereas exact quantities add arithmetically. Adding 2 standard
deviations, 1 and h, does not yield (1+h) but actually (1+1/2 h²), for
small h. Therefore we see physically that h corresponds to P, or h₄₄=P.
Further however h₄₄, the Common Factor increase in Mental Speed or
Intelligence is due to the standard deviation of brain growth from the
mean, M. However, since time in Einstein’s equation correlates negatively
with Speed (speed=time^-1) we see that P is actually an increase in the
Brain Growth Deficit (1-M) thus identifying P with "God". Finally, since
the gravitational potential in full nonlinear Relativity is the full spacetime
metric, what we see is that God is identified with the entire Spacetime Metric.
    However there is more to the story.  The Metric is the potential, but
the potential cannot be it's own higher order factor.  There must be
some other Relativistic quantity, caused by the braingrowth deficit, which
is actually the higher order factor and which we can identify as the
Relativistic cause of "God".  It must be a scalar and it must be caused
by the braingrowth deficit.  The only candidate for such a thing is R, the
scalar curvature invariant.  The reason for this is that the contracted
(scalar) version of Einstein's Field Equation says that  R=-kT, where
T is the mass "source term".  This T is of course is replaced by the
"braingrowth deficit" in Psychometry space.  We also know that R is
exclusively a function of g_uv , the potential, and therefore g_uv will
"load on" or correlate with R.  This tells us that R is the cause of God.
 However, this is only the "linear" result.  We must presume that in full
nonlinear Pscyhometry space, that the actual equation obtained would
be the noncontracted form of Einstein's Field Equations,  G_uv = kT_uv ,
thus in the "exact" (nonlinear) theory, we see that actually:

                                   God = G_uv

Thus, what we have discovered is that God is caused by the Einstein
Curvature Tensor, and that Einstein's celebrated Field Equation is
actually the mathematical equation of God.  Einstein's Theory in other
words, is the explicit mathematical proof of God, and the mathematical
proof that God is caused by Gravity.

Reference:

Einstein, A. [1922], 1996 The Meaning of Relativity, 5th edition
                 MJF Books, New York (page 86)

Thurstone, Louis L. 1947 Multiple Factor analysis, University of
                 Chicago Press, Chicago (page 81, figure 8)
 

=======================================================
   GEORGE HAMMOND'S- SCIENTIFIC PROOF OF GOD WEBSITE
       http://oocities.com/scientific_proof_of_god
        http://proof-of-god.freewebsitehosting.com
=======================================================