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This is a work in progress - all rights reserved.
Copyright © 2006-2008 Tony Giovia

 

CHAPTER 5 - Shared Dimensions v1.1

5.1 - Mass is a measurement of a quantity of matter. (Definition)

5.2 – Mass is a dimension of matter. (Construction)

a)  Mass and matter exist, therefore mass and matter are objects.
b)  Objects are composed of dimensions.
c)  Mass, as a dimension of matter, exists in a relationship with matter.
d)  Objects in a relationship are dimensions of each other.
e)  Mass is a dimension of matter.

5.3 - Energy is the object that produces or prevents motion, or has a tendency to do so. (Definition)

5.4 – Objects share the dimensions of existence, energy construction, matter and the constant speed of light. (Construction)

a)  The Big Bang created a Universe constructed solely of energy;
b)  Energy, in all its forms, is the sole substance of the known Universe;
c)  Each object that exists must exist in this Universe of energy;
d)  Objects existing in this Universe must be constructed of energy;
e)  Via E=MCC, energy, matter, and the constant speed of light exist in a relationship with each other;
f)  Objects in a relationship must share dimensions directly, or share dimensions indirectly via combinations of relationships. If dimensions are not directly or indirectly shared there is no framework for communication and therefore no relationship;
g)  A dimension is a perceivable object. Perceivable objects must necessarily exist.
h)  Entities and Ideas are perceivable objects, and must necessarily exist.
i)  Via their energy construction, entities exist in a relationship with matter and the constant speed of light;
j)  Via their energy construction, ideas exist in a relationship with matter and the constant speed of light;
k)  Both entities and ideas exist in a relationship with energy, matter and the constant speed of light;
l)  Entities and ideas exist in a relationship with each other via their shared dimensions.

 

This is the crux of the argument supporting The Geometry of Ideas. If we grant that Ideas exist in a Universe composed solely of energy, then we must grant that Ideas are composed of energy. Beyond that, we know that mathematical laws describe the nature and behavior of energy. This means that mathematical laws also describe the nature and behavior of Ideas.

Whether there is a one-to-one relationship between existing mathematical laws and Ideas, or some mix of existing and new laws has yet to be determined. But one thing is certain – it has been demonstrated that energy obeys laws, so laws that apply to Ideas must also exist.

This is a big door. The remaining chapters provide a practical framework wherein energy-composed Ideas can be examined in a standardized – and open – way.

 

 

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