**A
SUBSTANTIAL DIFFERENCE**

Another view of the miracle that is Genesis 1:1

**1.
Introduction**

It turns out that
the seemingly mundane observation that 37 uniform circular
counters resting on a flat surface may be grouped together to
form any one of three distinct symmetrical figures (Appendix 1) has far-reaching consequences. Most
obviously, (1) because thirty-seven is unique in respect of this
absolute universal attribute, (2) because of its presence as factor in each
component of the Creator's name - as delivered in NT Greek, (3)
because it is found in abundance among the 7 Hebrew words of the
Bible's first verse, and (4) because it is highest prime factor
of the unique triangular number, 666. Indeed, the whole speaks
eloquently of **intelligent****selection,*** design* and

Our purpose here is
to extract further attributes of the miracle by examining word CV
* differences, *and related matters. These
suggest beyond all doubt that the Genesis 1:1 number set is
indeed an exceedingly rare and _precisely-ordered structure_ -
one that has, undoubtedly, been so fabricated as to maximise its
already closely-knit associations.

**2.
Progressive differencing**

The following
diagram depicts a form of *finite differencing* - a simple
procedure familiar to numerical analysts - involving, in this
case, the 7 word CVs of the opening verse of the Judeo-Christian
Scriptures.

The leftmost column of figures - reading from top to bottom - represents the familiar Genesis 1:1 number set. Each entry in succeeding columns is derived from the two figures that appear on its immediate left - subtracting the lower from the upper. Thus, in the second column, 710 = 913-203; -315 = 86-401; and so on.

Ignoring the negative sign, the ultimate result of this process (an outcome to which _all_ members of the Genesis 1:1 data set have contributed in equal measure) is 3256 (= 88 x 37) which happens to be the LCM (lowest common multiple) of the two final values of the set, viz 407 and 296. This result is certainly very interesting, and on closer inspection is seen to be equivalent to the vector multiplication of this set by the 7th row of a form of Pascal's triangle. This is explained in Appendix 2.

Interestingly, the sum of -3256 and 2701 (the triangular sum of the same 7 values) is -555. Of interest also is the result of successively differencing the first 5 of the 7 (representing the 'supernatural' component of the verse - their sum appearing geometrically as three satellite triangles, each of 666).

The outcome is shown in context to be -592. Again, ignoring the negative sign, this is seen to be 16 x 37, or 2 x 296 (the 7th term of the Gen.1:1 set). That of its complement (words 6 and 7 - each a multiple of 37) is 111, or 3 x 37.

The following diagram summarises these two latter outcomes in context.

These related
multiples of 37 - a number already found to be a prominent
feature of this verse - suggest that the * order *of
these CVs is also significant. That this is indeed the case is
demonstrated in Appendix 3 where, of the 5040 possible permutations
of these 7 numbers, the biblical arrangement is 1 of only 4 that
display features that are completely consistent with earlier
observations, and of these, the original arrangement alone is of
particular interest.

**3.
Alternative vector multipliers**

The concept of forming the sum of the products of the Genesis 1:1 CVs and the corresponding terms of a symmetrical vector (viz a row of the modified Pascal triangle), suggests there may be other structures to which this verse is equally resilient in respect of generating a multiple of 37 in this manner. Two examples are given.

The first concerns symmetical vectors of the form {A,B,C,D,C,B,A) in which A,B,C,D are in arithmetic progression (Appendix 4). For example, if we take any number as the first term (A = -7, say), and any number as common difference (B-A = C-B = D-C = 5, say), then the particular vector becomes {-7, -2, 3, 8, 3, -2, -7} and applying this to Genesis 1:1, as described:

(-7.913) + (-2.203) + 3.86 + 8.401 + 3.395 + (-2.407) + (-7.296) = -5032 = -136.37

- [Observe that the embedded dot here signifies 'multiplied by']

The second concerns the asymmetrical vector comprising the first 7 triangular numbers, {1,3,6,10,15,21,28}. Here is the calculation:

1.913 + 3.203 + 6.86 + 10.401 + 15.395 + 21.407 + 28.296 = 28808 = 2^3.13.277 = 8.3601

- Observe that 3601 has a direct geometrical connection with 2701 (sum of the Genesis 1:1 CVs); it is the hexagram that is formed in the symmetrical union of 2701-as-triangle with itself.

**4. Other
features that speak of precise order**

**The first CV differs from the rest**

Divided by 3, 913 delivers the remainder 1, whereas each of the remaining 6 deliver the remainder 2.

**The concatenation of word CVs**

If the 7 word CVs of Genesis 1:1 are regarded as

in a number system, radix 1000, then the number thus represented is the concatenation of these CVs, and it factorises thus:single digits

913203086401395407296 = 2^6 x 7 x 37 x 131 x 1291 x 4159 x 7879 x 9941

[Observe that to achieve conformity of expression, 86 - the only 2-digit CV - is represented here as 086]

This result is particularly interesting for two reasons: (a) 2368 (ie 64 x 37) is a factor - this being the CV of the Greek form of the name "Jesus Christ", nominative case - and since the claim is made (eg Jn.1:1-3, 10) that he is our Creator (ie the 'God' of Genesis 1:1), the matter is potentially significant; and (b) the fact that it has 13 prime factors - the largest having only 4 digits - is indicative of low probability* and hence of design.

Only 120 of the 5040 concatenated arrangements of the 7 CVs are exactly divisible by 2368 - all of which are required to end with words 6 and 7

in situ. One final observation concerns the concatenation of these, viz 407296, which factorises thus: 2 x 86 x 2368. Since the related words are translated "and the earth", and 86 happens to be the CV of word 3 ('God'), the association of these numbers strongly suggests that Jesus Christ is, indeed, God Incarnate!

*The probability of the concatenated Genesis 1:1 number factorising to have all factors < 10,000 has been calculated by computer simulation to be of the order of 1 in 35,000.

**Genesis 1:1 as a tessellated trefoil**

Dividing the 7 CVs into the sums of 'odds' and 'evens' leads to compelling symmetrical representations of the verse. The details may be found here.

**5. The matter of
probabilities**

The Hebrew words of the Torah (or Pentateuch) number 79,976. In a computer simulation sets of 7 were chosen randomly and tested for the foregoing properties:

- the sum a multiple of 37 (p = 0.027)
- another multiple of 37 by progressive differencing (p = 0.027)
- another multiple of 37 by progressively differencing the first 5 (p = 0.031)
- another multiple of 37 by progressively differencing the last two (p = 0.034)

The observed probabilities are shown bracketed.

On this basis alone the Genesis 1:1 set represents a 1.5 million to 1 longshot. This is lifted beyond 200 million to 1 when the AP multiplication requirement is included.

**6. Conclusions**

It might well be supposed that a
multiple of some number N - representing the sum of 7 individual
components - must yield another multiple of N when the same set
of 7 is progressively differenced (Appendix 5). This assumption is clearly incorrect,
and it follows that the persistence of the unique number 37 as
factor (a feature that is here closely dependent on the * ordering*
of the words) provides further reasons (if any more were needed!)
for believing the opening verse of the Judeo-Christian Scriptures
to be far more than a powerful and foundational assertion; in
addition, it is undoubtedly a wonderfully designed numerical
artefact, solidly linked with the Creator's name!

As we contemplate the many
facets of this * standing miracle* the
word that strongly comes to mind is

Vernon Jenkins MSc

2007-06-03