Half-Life of Attention

The variable Reasoning, in all of the equations, generally acts to hold an individual’s Attention level constant.  Depending on whether or not the Reasoning is used to hold both Attention to Threat and Attention to Efficacy constant, to hold Attention to one constant and not the other, or to not hold Attention on either constant, an individual’s valuation of an entity may remain constant, elevate toward positive infinity, or descend toward its existential value of positive one for forms One and Two of the Avoidance of Pain Equation.  For form three, as opposed to descending toward its existential value of positive one, the Attention devoted to a feature will generally increase unless it is actively suppressed.  However, if the Attention level is already elevated above normal, then it will decrease and balance out to the Attention level devoted to everything else unless actively maintained.

Whereas the Half-Life of Attention is the time it takes the Attention level to decay by one half its initial value, in a similar fashion to radioactive decay, the Root-Life of Attention is a novel concept that measures something else.  The Root-Life of Attention represents the time it would take Attention (if defined as a ratio of Awareness to Neglect) to revert back toward one by a factor of one square root.  For the Root-Life of Attention, the Attention level is instead taken to the power of one-half (.5).

As the x-variable, representing Time, is now officially implemented into the equation, Category I, II, III, and IV Emotions can now be modeled: Categories of Emotions.

Form One: Avoidance of Pain Equation with Exponential Decay and No Error for the Half-Life of Attention (Continued)

Form Two: Avoidance of Pain Equation with Exponential Decay and Error for the Half-Life of Attention (Continued)

Form Three: Avoidance of Pain Equation with Valuation Resilience

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