IN0AEN

~ Is Not 0 An Even Number?~

Brooks (Base) Square

~ The Architecture of Space-Time (TAOST) ~

and

~ The Conspicuous Absence of Primes (TCAOP) ~

Copyright© 2009-12, Reginald Brooks. All rights reserved

NOTE: This brief introduction to the series is designed to stand alone on its own merits. The reader will benefit from review of a number of earlier works by the author. Works to review include:

• (linking science, art and esthetics)

"GoMAS: The Geometry of Music, Art and Structure"

• (looking at visual patterns in numbers)

"Pattern in Numbers - from primes to DNA"

• (a new way of looking at the prime numbers)

"The Butterfly Primes - let the beauty seep in)"

• (a new way of looking at the prime numbers)

"The Butterfly Prime Directive - metamorphosis)"

• (a new way of looking at the prime numbers)

"The Butterfly Prime Determinant Number Array -conspicuous absence"

• (a magical number pattern within the double helix)

"GoDNA: The Geometry of DNA (axial view)"

• (a taunting overview to the works below)

"Naughty Physics (a.k.a. The LUFE Matrix )"

• (an advanced view with a brief, but large overview and simple introduction to The LUFE Matrix)

"Dark-Dark-Light: Dark Matter = Dark Energy (the inverse of): The Conservation of SpaceTime by the Conservation of Force"

• (a one page graphic supplement to :Dark-Dark-Light: Dark Matter = Dark Energy above)

"The History of the Universe in Scalar Graphics"

• (the full introduction)

"The LUFE Matrix: The distillation of SI units into more fundamentally base units of Space-Time (ST) dimensions"

• (over 200 working examples from easy on up)

"The LUFE Matrix Supplement: Examples and Proofs"

• (background material)

"The LUFE Matrix Supplement: References"

• (advance, speculative journey into multiple dimensions)

"The LUFE Matrix: Infinite Dimensions"

• (a fresh, novel look at the joining of relativity with quantum mechanics)

"Quantum Gravity ...by the book"

• (the role of symmetry, Higgs, graviton and photon bosons in defining dark matter = dark energy )

"Conservation of SpaceTime"

• (the work that started it all )

"LUFE: The Layman's Unified Field Expose"

Introduction

The table of numbers that, while excluding the *prime numbers ... and only the *prime numbers ... reveals the number patterns that are primary ... primordial ... to the structure of the Universe.

This primordial matrix defines the Inverse Square Law (ISL) that informs gravity, light (electromagnetism) and atomic structure ... the underpinnings of that which we see as the observable Universe.

It is the architecture of space-time itself ... that which ultimately informs ... that is, reveals its disposition that in turn presents the physical laws, and their expression, of light, gravity and the structure of matter ... that fundamentally defines the true structure of the Universe ... seen and unseen ... encompassing all matter (light and dark) and all energy (light and dark). The ISL is a key relationship describing the interplay of space and time.

It is postulated here that the true underpinnings of space-time itself are inherently defined by numerical relationships ... numbers ... the numbers of Brooks (Base) Square (BS).

They say the devil is in the details. Yes they are. But in this case ... as will be presented in the months to come ... the details are the joy. They are the angels of the divine.

Previous white papers listed above have focused on explicit numerical relationships (the abstract) to a particular ... albeit fundamental ... expression of Nature (the figurative-specific representational manifestation). In this new series, it is the purely abstract numerical relationships ... devoid of any material trappings ... that so magically inform, define, and super-imaginally expand on the implicit and seemingly infinite diversity of all numerical relationships whilst always ... and absolutely .... remaining true to an ultimate harmony of commensurability.

Now for a few introductory remarks.

The Journey: It is difficult to say if the BS was invented, discovered or perhaps it was a bit of both. I started with a square grid table, numbers 1,2,3... on the axis and their squares at the Primordial Diagonal (PD) between. Next, I began a process to see if I could find some other relationships between the axis and PD numbers ... which of course happened. Trying to distill these initial findings into a mathematical relation ... a formula ... I soon "discovered" that the square was beginning to fill in all of the other blank spaces on the grid.

This primordial matrix, once filled, became the Base Square (BS). It became obvious that it was really two triangles symmetrical to each other at the PD.

During this inventive/discovery process it was found to be quite helpful ... and often illuminating as will be shown later ... to break this symmetry ever so slightly. The left-lower triangle ... with the 1,3,5,... odd sequence next to the PD ... was left intact, and the right-upper triangle had its 1,3,5,... odd sequence next to the PD converted to an even series as 2,4,6,..., respectively. Nothing else was changed. So the lower triangle had an odd number sequence and the upper triangle had an even number sequence, next to the PD. This version became Brooks Square (BS). It is the version typically used throughout this series.

So Base Square (BS) is the pure, original matrix and Brooks Square (BS) is my personal version of the matrix. For the most part they are interchangeable. It is only when considering numerical relationships that impinge on these two different border numbers that there are any consequences as to which square is used. To help keep the distinction in mind, Base Square references are always BS 1.00 and Brooks Square references BS 1.01, BS 1.02, BS 1.03, etc.

Labeling and Simple Relationships: Although the axis are already labeled with 1,2,3,... it is sometimes easier to keep track of some of the columns by giving them an alphabetical sequence, starting with "A" on the zero (0) column. The diagonals paralleling the PD are referred to as the "first diagonal", "second diagonal", " third diagonal" etc. from the PD. Typically, all patterns, while symmetrical to both sides of the PD, will be illustrated in the lower-left triangle.

Having the completed square in front of you, one can readily pick out all sorts of easy patterns across the rows, down the columns and across the diagonals. It is a bit harder to do ... yet very rewarding ... to fill in the blank matrix by hand without reference to the BS.

Not to spoil fun for now, many of the more interesting patterns will be laid out in subsequent chapters of this series.