Abstract.  This paper further explores the Matrix potential for examining word/meaning relationships so essential to effective communication and to all related thinking processes. The Matrix, a conceptual framework which integrates the four elements feel/think/act/time into a single holistic landscape of values and entities, provides the normative all inclusive background against which these further special relationships can be displayed and the relationship validity demonstrated.
The Core (Block 5) at the centre of the Matrix offers 10 dominant paradigms but it is soon apparent that, owing to the dynamic nature of the Matrix landscape, the Cultural Block 8 which includes design, values and opportunity is, in ordinal terms, a natural positive extension to Block 5. In this sense, the two Blocks in combination can be considered the progressive dynamic core of the Matrix. Four interesting paradigms in the extended Core are Balance (55.0), Comprehension (55.00), Light (88.0) and Truth (88.00).
Examples of entities in vertical, horizontal and diagonal alignments are given to highlight the potential of paradigms combining as radicals and fractals to identify new entities, with the demands of coherence validated by perception. Intelligence (55.585) as a horizontal alignment may prove a stimulus for thoughtful discussion. Examples of non-aligned peripherals are given highlighting emphasis on their fractals chasing the periphery away from the extended core, with tensorial forces at play to determine which way the cycle will resolve. Option of last resort (53.192) is an example currently re-emerging in the adversarial political lexicon.
Visual displays offer a very valuable methodology for presenting ideas and concepts which can influence ways of thinking. They operate in line with the well established notion that seeing is believing, adding that exposure will always give common sense a better chance to prevail. Apart from visual displays for the main title, a number of supportive displays are given illustrating the pattern configuration of Matrix projections and their ability to identify and separate values by polarity, thereby enhancing and promoting positive choices.

1. Introduction

This paper moves one step further in exploring the Matrix potential for examining word/meaning relationships so essential to effective communication and to all related thinking processes.

The structural linkages between Core, Alignments and Periphery are analysed, recognising the important impact of polarity on all facets of the Matrix landscape. Examples of typical or dominant entities in these groupings are given and can be seen as visual displays, taking advantage of the well established notion that “seeing is believing”.

Additional visual displays are included to further demonstrate the useful and coherent power of separation between and within various key entities when projected on the Matrix landscape.

The Matrix provides the conceptual framework within which all concepts and entities are projected.  It is a framework which integrates the four elements feel/think/act/time into a single holistic landscape of values and entities, allowing visualisation of conceptual notions and relationships graphically and numerically.  Of modular construct with decimal continuity, it forms a universal framework accommodating conceptual totality and functional flexibility.

A 4-page Matrix Statement giving details of the Matrix construction, its rationale and a number of associated corollaries is readily available.  It can be downloaded from the Internet, Web site http://www.ozemail.com.au/~bayerben/

2.1 Matrix expressions

They are numerical codes allocated to concepts and entities, in accordance with perception, to achieve the best fit on the Matrix landscape.

The decimal point in the expression separates the “Radical” on its left which is the selected starting position, from the “Fractal” on its right which is the decimal emphasis representing the direction of change.

For example, leadership (59.86) and consensus (59.75) share the radical 59 (choice/optimisation) but differ in the decimal emphasis, 86 (design) and 75 (reason) respectively.

The determination of a Matrix expression relating to an entity gets its validation from tests of perception (25.45), equivalence (55.383/55.386) and coherence (49.55).  For this reason, the Matrix expressions presented in this paper should be considered as a first draft, open to and inviting debate.

The core locates in the centre of the Matrix as Block 5, connecting orthogonally and diagonally with the other 8 Blocks around it.

The dynamic nature of the Matrix landscape, with the directional flow of time permeating all elements, projects Block 8 as the natural positive extension to Block 5. In this sense, the two Blocks in combination can be considered the progressive dynamic core of the Matrix.

Further more, as 5/8 elements can be found everywhere in all the Matrix zones, core effects can be initiated anywhere and accelerated to full momentum through the dynamic core role of Blocks 5 and 8.

3.1 Dominant Core Paradigms (visual display 1)

The Matrix expression for paradigms is a radical with zero fractal.
 

51.0 52.0 53.0 54.0 55.0 55.00 65.0 57.0 58.0 59.0

Regression  Observation  Interpretation  Retention  Balance  Comprehension  Attitude  Partnership  Right  Optimisation

81.0 82.0 83.0 84.0 85.0 86.0 87.0 88.0 88.00 89.0

Myth  Search  Complexity  Information  Opportunity  Design  Belonging  Light  Truth  Values

Four interesting paradigms in the dynamic core are Balance (55.0) , Comprehension (55.00), Light (88.0) and Truth (88.00). The second zero in the fractal adds an element of inner depth.

4.1 Verticals (visual display 2)

They project as vertical shifts of location upwards or downwards within or between Tiers. Vertical alignments extend from left to right across the full spectrum of the Matrix.
 

e.g.

11.13 23.33 15.35 27.29 53.42

pain  fanatic  vigilance  conclusion  pressure (-)

46.64 47.57 71.81 76.94 87.99

effort  friend  wishful thinking  contribution  global

4.2 Horizontals (visual display 3)

They project as horizontal shifts of location to the left or to the right within or between Stages. Horizontal alignments extend from bottom to top along the full spectrum of the Matrix.
 

e.g.

47.74 42.12 46.76 57.87 55.585

friendship  deprived  encourage  bridging  intelligence

56.23 53.59 64.94 65.95 63.33

disorder  challenge  expansion  growth  battle

4.3 Diagonals (visual display 4)

They project as diagonal shifts of location upwards or downwards, to the right or to the left. They cover the full spectrum of the Matrix.
 

e.g.	To	the  left	To	the right
	53.33 52.32 51.31 27.23 25.23 56.12 51.11	sustained (-)  discriminate  delay  false assumption  illogical  renounce  withdraw	65.69 64.68 55.59 58.98 75.79 55.57 55.75 85.87 73.75 75.77	effective  methodology  choice  righteous  enjoyment  understand  common sense  way of life  fun  patience

4.4 Alignments review.

The above examples of entities in vertical, horizontal and diagonal alignments highlight the orderly potential of paradigms combining as radical and fractals to identify new key entities with the demands of coherence validated by perception.

The relationship Core and Periphery is somewhat analogous to centre and circle, but with the core less sharply defined than a centre and the periphery more fuzzy than a circle.The Periphery would therefore appear to locate in any of the 8 Blocks surrounding Block 5, including Block 8. In terms of alignments as defined in Section 4, the peripherals are non-aligned.
 

e.g.

45.113 21.513 21.522 21.323 23.323 23.523 13.533 33.533 32.53 66.53 56.969 47.79 48.83 32.983 73.87

unacceptable  fear  uncertainty  panic  disloyal  misguided  revenge  crime  cheat  rivalry  purpose  pleasure  captivate  grand standing  entertainment

53.192 26.92 63.92 86.93 43.793 87.93  58.96 57.596 68.96 56.896 89.96 45.97 66.98 86.98 86.99

option of last resort  ambiguous  knife edge  cutting edge  seduction  populist  strategy  proactive  competence  perseverance  aspirations  satisfaction  authority  artistic  concept

The above examples of non-aligned peripherals highlight the tendency of their fractals to chase the periphery, away from the extended core. The tensorial forces at play, not excluding any other external forces, determine which way the cycle will eventually resolve.

Referring to the interactive cycle ABCD₁D₂E (Antecedents / Behaviour / Consequences / Dividends / Directions / Execution), the Periphery could locate in any of these elements except Behaviour. With Antecedents, it would refer to the Periphery resulting from a previous cycle.

Option of last resort (53.192) is an example currently re-emerging in the adversarial political lexicon.

One element of basic import when considering equivalence is the direction (or arrow) of time. For instance regression (51.0) refers to a perception of moving back in time while elsewhere the time flows on.

Polarity, the notion of perceived positive and negative, is obviously linked (among other factors) to the direction of time flow. The more complicated the situation, the higher the potential for controversy about the sign of polarity in that particular situation..

1. Dominant Core Paradigms
2. Vertical Alignments
3. Horizontal Alignments
4. Diagonal Alignments
5. Peripherals
6. The Broad Divisions
7. Achievement determinants
8. Behaviour determinants
9. Energy: the Vertical thrust
10. Intelligence: the Horizontal pull
11. Interactive social groups
12. From Perception to Choice
13. Information handling
14. Tooling up benefits
15. Approval v/s Disapproval
16. Priorities
17. Three golden Beliefs
18. Real v/s Virtual
19. Misguided passion
20. Reality, Potential, Propensity
21. Vision, Ideology, Metricity
22. Partnership
23. May and Can
24. Fear / Failure v/s Hope / Success

The 20 paradigms of the extended core appear to capture the fundamental essentials of all human interactions, the core extension reflecting by intent a positive bias. The negatives are not excluded from awareness, only from social concensus approval, adding responsibility to individual choices.

The examples given for vertical, horizontal and diagonal alignments and for peripherals highlight the Matrix potential in useful analytical separation of key entities into component entities within a coherent holistic framework, facilitating comparisons within and between entities. Intelligence (55.585) in the horizontal alignments may prove a stimulus for thoughtful discussion.

The visual displays provided also facilitate open debate about universal values at the value level. The very wide acceptance of value levels confirms that polarity is a fact of life. Thinking must be encouraged into rejecting regressive modes and engaging in progressive pathways. This is not a new thought but well worth remembering at the start of the new Millennium.

The following short selection stands for both acknowledgement and reference:
1. Stephen Hawking: A brief history of time (1989)
2. Paul Davies: The mind of God (1992)
3. Edward de Bono: Simplicity (1998)