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This is a work in progress - all rights reserved.
Copyright © 2006-2007 Tony Giovia
21. The Relative Framework of the Dimensional Nexus21.1 - An Idea is a perceivable object, composed of energy, and therefore capable of being viewed as energy, mass, matter and speed, or any combination or proportions of energy, mass, matter and speed.
a) Matter has a physical structure and can be defined at least by the Geometric Outline of that physical structure.
b) Ideas can be viewed as matter.
c) Unique Ideas can be defined at least by their Geometric Outline.
d) A Geometric Outline defines a unique Idea.
e) Every Geometric Outline can be viewed as an Idea.
f) Ideas can be viewed as energy, mass, matter or speed, or any combination or proportions of energy, mass, matter and speed. Therefore, energy, mass, matter and speed are logically related to all Ideas.
g) The logical relationships among energy, matter, mass, speed, and Ideas define a logical island of Ideas.
h) A Base Geometric Outline is a self-contained logical island of ideas.
i) All Ideas can be viewed as Base Geometric Outlines.21.2 – A dimension is a perceivable object, composed of energy, and therefore capable of being viewed as energy, mass, matter and speed, or any combination or proportions of energy, mass, matter and speed.
a) Matter has a physical structure and can be defined at least by the Geometric Outline of that physical structure.
b) Dimensions can be viewed as matter.
c) Unique dimensions can be defined at least by their Geometric Outline.
d) A Geometric Outline defines a unique dimension.
e) Every Geometric Outline can be viewed as a dimension.
f) Dimensions can be viewed as energy, mass, matter or speed, or any combination or proportions of energy, mass, matter and speed. Therefore, energy, mass, matter and speed are logically related to all dimensions.
g) The logical relationships among energy, matter, mass, speed, and dimensions define a logical island of Ideas.
h) A Base Geometric Outline is a self-contained logical island of ideas.
I) All dimensions can be viewed as Base Geometric Outlines.21.3 – Contexts and Rules are composed of Ideas and Dimensions
a) A context is a logical or mathematical organization of Ideas.
b) A rule is a logical or mathematical organization of dimensions.
c) An idea is an object composed of one or more dimensions.
d) A context is a logical or mathematical organization of dimensions.
e) A rule is a logical or mathematical organization of ideas.
f) Ideas and dimensions can be defined at least by their geometric outlines.
g) A Geometric Outline defines a unique Idea. Put another way, a Geometric Outline defines a unique dimension.
h) A Base Geometric Outline is a self-contained logical island of ideas.
i) A Point Of View is one or more Base Geometric Outlines logically related and used as the primary filter for newly introduced Ideas.
j) Contexts are Base Geometric Outlines composed of dimensions related by a logical rule. Both a context and the GO of that context include the same defining dimensions.
k) Dimensions related by a logical rule form a self-contained logical island of ideas.
l) Every rule defines a context. (Definition)
m) Every context defines a rule. (Definition)
n) Rules, contexts and Points Of View can be viewed as Base Geometric Outlines.
21.4 - A law is a logical or mathematical rule. A rule defines a context, therefore a law is a context.
a) An object exists in a relationship with another object when one or more of its composing dimensions is identical to one or more dimensions composing the other object. (Definition)
b) An object exists in a relationship with another object when one or more of its composing dimensions is logically related to one or more dimensions composing the other object. (Definition)
c) An object is said to “obey” a logical or mathematical law when one or more of its composing dimensions is identical to the composing dimensions of a logical or mathematical rule. (Definition)
d) Matter obeys logical and mathematical laws.
e) Ideas can be viewed as matter.
f) Ideas obey logical and mathematical laws.
g) Ideas are said to be logically organized when they are physically grouped by a physical law.21.5 – Complex contexts consist of two or more contexts organized by different rules.
a) A Base Geometric Outline is a self consistent logical island of ideas. Put another way, a BGO is a logical grouping of Geometric Outlines.
b) Every rule is a BGO.
c) Every rule defines a context.
d) Rules can be combined to form complex contexts.
e) Complex contexts consist of a Dominant Rule and one or more Recessive Rules.
f) Each context in a complex context is a level of the complex context, where a level is defined as one context organized by one rule, or multiple contexts related to each other by a more inclusive, encompassing rule.21.6 – A Geometric Outline defines a unique Idea. Put another way, a Geometric Outline defines a unique dimension.
a) Any unique object is composed of at least one dimension.
b) Any unique dimension is an object.
c) One or more dimensions define an object.
d) Every unique dimension must be uniquely defined.
e) A definition determines the outline, magnitude, architecture and/or design of an object, such that any definition is distinct and unique from every other definition. (Definition)
f) For any definition to be unique and distinct from any other definition, it must be logically compared or contrasted with every other definition to determine its uniqueness.
g) A dimension must exist in a logical relationship with another dimension to determine its uniqueness versus the other dimension.
h) A dimension defines an Idea.
i) A Base Geometric Outline is a self contained logical island of Ideas.
j) A structure that compares or contrasts two dimensions is a self contained logical island of Ideas.
k) A definition is a Base Geometric Outline.21.7 - Any particular dimension is an Idea, a Geometric Outline, a rule, a context, a law, a definition, a Base Geometric Outline and a Point Of View. Its function in a context depends on the context in which it is viewed. (Definition)
From here forward we will be looking at practical applications for the concepts introduced in the first part of this presentation. It is therefore important that we have a clear understanding of the environment we will be working in.
The “World Wide Web” is a familiar term these days, suggesting information linked to other information, and accessed across a vast array of databases. Using the definitions presented in Part One of this presentation, it is accurate to substitute “dimensions” for “information” in describing the WWW.
However, this definition of the World Wide Web only partly defines the complete environment we will call the Dimensional Nexus. The Nexus is a physical structure of dimensions and the physical laws that organize them. The Nexus does not reside in limited databases – in fact, limited databases recreate portions of the Nexus. Hyperlinks, the method used to connect dimensions on the WWW, are an effective means of creating complex contexts; however, hyperlinking is a linear technology that does not elucidate the dimensional structure of the related contexts. And of course, no computing hardware (apart from a mind) is required to access the Nexus.
The key feature of the Dimensional Nexus is its fluidity – any object is simultaneously an entity, a dimension, an Idea, a context, a rule, a Geometric Outline, a Base Geometric Outline and a Point Of View. The terminology we apply to the object is solely dependent on the depth – the number of logically associated levels – we include in our definition of the object.
A poem we all learned in school expresses this:
“To see a world in a grain of sand,
And a heaven in a wild flower,
Hold infinity in the palm of your hand,
And eternity in an hour.”
William BlakeThe Big Bang Theory proposes a Universe created in a big bang of energy. This means that every part of the energy created at that point in time exists in a relationship with every other part – all energy is part of the same whole present at creation. The Dimensional Nexus reflects this, in effect stating that each object in the Universe exists in a relationship with every other object. Our perception of an object – and therefore our definition of the object - is limited by the time and processing power we focus on it. With appropriate time and appropriate processing power – and appropriate algorithms - all the relationships among all the objects in the Universe are available to us.
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