# 8. Genesis of Relative Atomic Mass for the Elements of Periods 1 and 2

by Dr. Bruce McLaughlin

This article presents evidence suggesting that the relative atomic mass, for elements of Periods 1 and 2, is encrypted in the first twelve characters of the first verse of Genesis.

Introduction

A Judeo-Christian tradition is that God arranged the 304,805 character string of concatenated words in the Torah to reveal not only a spiritual message but also to encrypt fundamental information about the beginning of the universe and its development over time including the entirety of physics, chemistry, biology and human history… a message within a message.

In Genesis of the Reciprocal Fine Structure Constant by B. McLaughlin, several critical dimensionless numbers of physics/mathematics are predicted from the first 12 characters of the first verse of Genesis.  Is it possible that this same string of 12 characters provides information about relative atomic mass for Period 1 elements hydrogen and helium and Period 2 elements lithium, beryllium, boron, carbon, nitrogen, oxygen, fluorine and neon?

Background

The horizontal rows of the Periodic Table are called periods and the number of elements in each row is given by:

Period              Number of Elements

1                                  2

2                                  8

3                                  8

4                                  18

5                                  18

6                                  32

7                                  17+

The 16 vertical columns are called Groups.  Elements of the same group have similar properties because they have the same number of valence electrons.  By convention, carbon 12 is used for a reference atomic mass which is set at 12.0000000.

In periods 1 and 2, all elements except beryllium and fluorine have two or more isotopes.  Could the atomic mass of each isotope be encrypted in Genesis for the first 10 elements of the Periodic Table?

Analysis

The first three, second three and third three characters from the first verse of Genesis can be expressed as

 020 212 020 Ayz = 000 Byz = 001 Cyz = 000 110 200 110

reading left to right as the Text is read from right to left. Each of the Hebrew characters is represented by a base-3 triplet (column vector) according to a rule that starts with Aleph as (000) and ends with Tsadey Final as (222).  If these three matrices are arranged in a Rubik Cube configuration, fifteen 3 by 3 matrices are produced by taking slices through the cube.  Each slice produces 8 matrices by rotation about various axes; dihedral group of order eight (D4).  In this trial, only one matrix will be selected for each slice.  We still find ourselves short by one 3 by 3 matrix in order to construct a single matrix of dimension 12.  We will add a single 3 by 3 matrix representing the fourth three characters from the first verse of Genesis.

 010 XXX = 001 021

A 12 by 12 matrix M can be constructed from these four matrices as illustrated in Genesis of the Reciprocal Fine Structure Constant by B. McLaughlin.  This matrix M is:

 0 2 0 2 1 2 0 2 0 1 2 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 2 0 0 1 1 0 0 2 0 0 2 0 2 1 2 0 2 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 2 1 1 1 0 0 2 0 0 0 0 1 1 0 1 0 0 2 1 2 0 0 1 2 0 0 0 0 1 0 2 0 0 0 0 1 1 0 0 0 0 1 1 0 0 2 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 2 0 0 0 0 0 0 0 0 2 1

Now define X = MM*, Y = X2 and Z = X3 where M* is the transpose of MX, Y and Z are each 12 by 12 matrices and each will have a characteristic equation with twelve coefficients.  Let the coefficients for X, Y and Z be denoted by J1…J12, JJ1…JJ12 and JJJ1…JJJ12 respectively.  Next form the following 6 by 6 matrix, designated as j1, from the 36 coefficients of the three characteristic equations?

JJJ1    J1         J2       JJJ12   JJJ11     J12

JJJ2    J6         J3       JJ7        JJ8          JJ9

j1  =   JJJ3    JJ1       J7       JJ6        J10         JJ10

JJJ4    JJ2       J4        J8         J5            JJ11

JJJ5    JJ3       JJ4      JJ5       J9           JJ12

JJJ6    JJJ7    JJJ8    JJJ9     JJJ10    J11

This particular matrix is just one of 36! matrices that can be formed from the 36 coefficients.  Now form the symmetric matrix k1 = j1 j1* and evaluate cosk1 = Cos[k1], sink1 = Sin[k1], p1 = Cos2[k1], q1 = Sin2[k1] and r1 = Sin[k1]Cos[k1].  These five expressions use the power series for Sin and Cos with ordinary powers replaced by matrix powers.  The result is five, 6 by 6 symmetric matrices with the absolute value of each element between zero and one.  So, how might relative isotopic atomic masses be encoded?  One way is to combine no more than two selected matrix elements from r1, by addition and subtraction, while viewing the elements themselves as floating point numbers; in other words, the decimal point can be shifted to the right or left.  Here are the matrix elements of r1

Matrix r1

-0.302092     0.00161603     0.00310672     1.71511*10-5     5.33071*10-7     1.00526*10-8

0.00161603   -0.250035       0.0999348       5.52042*10-4     1.40213*10-6   -1.01795*10-8

0.00310672    0.0999348      0.450876         0.0035343         8.47919*10-6     3.65337*10-9

1.71511*10-5  5.52042*10-4  0.0035343      -0.47624           -2.37805*10-4     -2.3418*10-9

5.33071*10-7  1.40213*10-6  8.47919*10-6  -2.37805*10-4   -0.438217           3.75456*10-7

1.00526*10-8 -1.01795*10-8  3.65337*10-9  -2.3418*10-9       3.75456*10-7     -0.470916

Encrypting information in pairs of floating point numbers is more efficient than simply storing lists of numbers.  The Reciprocal Fine Structure Constant, the elements of the CKM matrix, CMB fluctuation amplitudes and now relative isotopic atomic masses have been extracted from the elements of r1.  Furthermore, this information cannot be encrypted in just any matrix.

The actual and encrypted values of relative isotopic atomic masses are given in the following table.  The encrypted values are within a few tenths of a percent or less of the measured values.  Perhaps this encryption represents a rough-cut with small corrections made later in the text of the Torah.

Actual and Encrypted Values of Relative Isotopic Atomic Mass

Isotope     Relative Atomic Mass                          Encrypted Value

1H1                 1.00783                       108r1[[1,6]] - 10-2r1[[2,2]] =     1.00776

1H2                 2.01410                       -108r1[[2,6]] + 10r1[[2,3]] =     2.01729

1H3                 3.01605                       -10r1[[1,1]] + 10-2r1[[4,4]] =    3.01616

2He3               3.01603                       -10r1[[1,1]] + 10-2r1[[4,4]] =    3.01616

2He4               4.00260                       107r1[[5,6]] - r1[[2,2]] =           4.0046

3Li6                 6.01512                       103r1[[3,4]] - 10r1[[2,2]] =       6.03465

3Li7                 7.01600                       10r1[[3,3]] - 10r1[[2,2]] =         7.00911

4Be9                9.01218                       106r1[[3,5]] + 106r1[[1,5]] =     9.01226

5B10               10.01294                     109r1[[1,6]] – 105r1[[5,6]] =     10.0151

5B11               11.00931                     109r1[[1,6]] + 108r1[[1,6]] =     11.0579

6C12               12.00000                     106r1[[3,5]] + 103r1[[3,4]] =     12.0135

6C13               13.00335                     106r1[[3,5]] + 10r1[[3,3]] =      12.988

6C14               14.00324                     106r1[[3,5]] + 104r1[[2,4]] =     13.9996

7N14               14.00307                     106r1[[3,5]] + 104r1[[2,4]] =     13.9996

7N15               15.00011                     -102r1[[2,2]] - 102r1[[2,3]] =     15.01

8O16               15.99491                     104r1[[1,2]] - 102r1[[1,2]] =      15.9987

8O17               16.99913                     106r1[[1,4]] - 102r1[[1,2]] =      16.9895

8O18               17.99916                     106r1[[1,4]] + 105r1[[3,5]] =     17.9991

9F19                18.99840                     -1010r1[[4,6]] + 10r1[[5,5]] =    19.0358

10Ne20           19.99244                     109r1[[1,6]] + 102r1[[2,3]] =     20.0416

10Ne21           20.99385                     -10r1[[4,4]] + 104r1[[1,2]] =     20.9227

10Ne22           21.99139                     106r1[[1,4]] - 10r1[[4,4]] =       21.9135

Conclusion

These findings could represent an interesting but unimportant coincidence.  Alternately, they might suggest a causal connection between God and the development of atomic structure.