Not Scientific: Just trying to communicate
Before moving ahead, let us purify the algebra of our Behavior Probability.
Our classic equation for pollution relates to amplitude - or perhaps Data Stream Momentum - or perhaps the Percent of the DSM to the whole. It doesn’t really matter, yet. We are just suggesting parallels - establishing isomorphisms to communicate meaning.
“It tastes like chicken, but different.”
We asserted that squaring our pollution equation results in the Probability vector for behavior - which is related to a specific response. We made this connection based upon the parallel system of quantum electro-dynamics, QED. Once again we are just attempting to communicate some subtle truths with these analogous systems rather than attempting to indicate any scientific relation.
Our operators, + & *, aren’t really Addition & Multiplication
Let’s start with the classic Pollution equation for truth and falsehood.
When we square this we obtain the probability of behavior concerning truth.
While it seems that we are talking about multiplication and addition, we are not. We are speaking about the operation of combination, which we represent with the addition and subtraction signs. However they are much different from traditional summing. We are also referring to the operation of mixture - which we represent with the multiplication sign. But this too is not the same.
For instance the commutative property doesn’t hold for mixture, *. Indeed the definitions are shown below.
In brief this states that when the Real is applied to the Imaginary that it leads back to the Path. Conversely, when the Imaginary is applied to the Real it leads away from the Path. These concepts were expressed geometrically in earlier sections.
We will assert that the distributive property holds for our operations, + and *. We will expand our expression remembering our definitions from step 3.
Some more simple notation definitions, which follow standard practice.
We apply these notational simplifications to Equation 4. We also assert that the Commutative property holds for combination, +, and apply it, yielding the simplification below.
In step 7, we apply the distributive law to ‘i’ in order to associate like terms.
Statement 8 is the simplistic comment that the Probability of Behavior contains both Real and Imaginary components. These concepts have been developed earlier in this paper.
Applied to Self and Delusion
Let us apply these results to the Self and Delusion equations. The Probability of Self Expression is shown in the format of Equation 7 - Breaking it all into its Real and Imaginary components.
Let us point out that each of the components in the above equation is a probability vector, which employ the following notation.
To make some sense of these components, let us verbalize a sense of what they mean.
Now that we have developed some workable equations we can return to our original question. What happens when the dust falls daily and is never cleaned off?
Finally, we have sufficient background to perhaps say something vaguely meaningful - but unfortunately we have run out of time.
Mañana creeps in its petty pace from day to day to the last syllable of recorded time.
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