In this paper,Guest Posting ten critical dimensionless numbers of physics are predicted and functionally related by a simple 12 by 12 matrix comprising the elements 0, 1 and 2. This matrix is based on the first twelve Hebrew characters from the first verse of Genesis. The Reciprocal Fine Structure Constant, the electron-proton electrical to gravitational force ratio, and the fraction of mass converted to energy in stars, for example, can be accurately predicted starting from this 12 by 12 matrix. Similarly, the dimensionless numbers pi and phi are encrypted in a 3 by 3 matrix based on the first three characters of the first verse of Genesis. All these findings could represent a completely serendipitous concurrence of events. Alternately, they could suggest a causal connection between God and the critical dimensionless numbers of science and mathematics.

The Reciprocal Fine Structure Constant is given particular attention because attempts to predict it, based on the principles of physics, have failed for a hundred years. Attempts at prediction, based on mathematics, have also failed. This paper presents an eclectic explanation based on a syncretism of science, mathematics and the Hebrew Bible.



sacrificial rituals



Imagine the universe is constructed around a deformable cubic lattice such that the smallest identifiable physical entity is a region called a “voxel” which is bounded by eight vertices, twelve edges and six flat faces. The universe is thereby divided into an ordered (numbered) array of volumes. The volume enclosed by a voxel is on the order of the cube of the local Planck Length (e.g. 1.6 x10-35 meter). Assume the state of each voxel is 1 or 0. Then the state of the entire universe is defined by a countably infinite sequence of binary digits or, in other words, a single real number. The possible 3-D geometric arrangements of 1’s and 0’s would be more than sufficient to accommodate the complexity of any “Theory of Everything” that might be devised. Now imagine the state of each voxel changes at time intervals equal to the Planck Time (5.4 x 10-44 seconds). At the end of each time interval, a new real number defines the state of the universe. By this view, the voxels may be deformed somewhat by matter and energy but are essentially fixed in space. They simply assume a new identity at the end of each time step much like the pixels on a television screen. This concept comprises a “pixelated” universe as suggested by Quantum Mechanics.

This hypothetical exercise may seem far-fetched given the equations of Continuum Mechanics and General Relativity which treat space and time as continuums. But voxels are merely the three dimensional cellular automata defined in A New Kind of Science (Wolfram, 2002, 179). We only need a “rule of transformation” for defining what takes place at each time step. Concepts of “state” and “rule of time transformation,” more complex than those governing the 256 elementary cellular automata, should certainly be considered. Some concepts might be inspired by certain aspects of Judeo-Christian tradition. For example, one tradition is that the 304,805 character string of concatenated words in the Torah encodes fundamental information about the beginning of the universe and its development over time as well as events in human history (Satinover, 1998; Drosnin, 1998).