## Tuesday, August 20, 2013

### Quasi-Unique Prime Sequences

Quasi-Unique Prime Sequences

L. Edgar Otto    Tuesday, 20 August, 2013

Prime numbers mapped on the quasic brane can be divided into horizontal and vertical sequences.  While quasicity is but another attempt at grasping the independent and uniqueness of prime patterns even when taken to vast dimensions this speculation may tell us something about intelligible arithmetic or general space principles.  At this state it is an exercise in mathematical recreations.

1.  The zeroth vertical column contains one prime number 2 as well all even columns beyond this contains no primes.

2.  The zeroth horizontal row contains 5 as the smallest prime.

3.  The first horizontal row contains 2 as the smallest prime.

4.  The first two sequential integers, horizontally, are 0 and 1 which are prefixes to intelligible coding patterns of higher binary dimensional arrays as 4 or 8 fold region subdivisions over the natural dimensions... 16 cells is 4D, 32 is 5D, 64 is 6D... 256 is 8D and so on... and thus are suffixes of higher pattern groups left out of the binary count structurally.

5.  Across the main diagonal with this quaternion-octonion analogy we can have asymmetric initiator-terminator weight structures where quasi-unique properties are quasi-symmetric.  These can be pairs of primes as well as isolated and single or patterns of superimposed symmetry breaking values somewhere between what we imagine as real or as illusion... or between them other properties such as powers where these are not necessarily both prime.

6.  Some row or column of unique primes relative to the span of the dimensions in the counting of binary arrays may have unique distinguishing encoding features for physical interpretations.

7.  The analyses invovled need not be random nor non-linear in the application or expression of such features.  Indeed, these can be a reference sequence fixed or relative to some initial count or shifting range of no or more additions for quasi-unique patterns which seems part of materiality.

8.  A topological approach of adjacent regions of logic so simplified can be intelligibly and quasically ordered in the 2D arbritary plane or in higher spaces.

9.  Distinct material entities and shadows or half shadows, one actual or virtual mirror, or empty shadows in the background contain pure logic deeper than how we may assign such information values that mimics the logic patterns.

The illustration of the 8K cells   64 x 128 with primes in upper left corner I post as a sort of minimal graph paper for printing....

* * *