How Can Emotional Eigenstates Enhance Our Understanding of Feelings?

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SUMMARY

This discussion explores the modeling of emotions using state space formalism, specifically through the equation d x/dt = A x, where x represents a vector of emotional states such as anger, sadness, and joy. The transition matrix A is defined as a probability transition matrix, with its dominant eigenvector indicating an emotional eigenstate that remains constant over time. The concept of a "psychon" is introduced as a quantization of the amplitude in the emotional vector x. While this approach is a preliminary approximation and acknowledges the non-linear nature of feelings, it opens avenues for further exploration in the psychology of emotions.

PREREQUISITES
  • Understanding of state space formalism in mathematics
  • Familiarity with eigenvalues and eigenvectors in linear algebra
  • Basic knowledge of probability transition matrices
  • Conceptual grasp of emotional psychology and subjective experience
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  • Research the application of state space models in psychology
  • Study the mathematical properties of probability transition matrices
  • Explore the concept of eigenstates in quantum mechanics and their relevance to emotions
  • Investigate existing literature on the quantification of emotions and emotional states
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Psychologists, mathematicians, and researchers interested in the intersection of emotional psychology and mathematical modeling, as well as anyone exploring innovative approaches to understanding feelings.

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I saw some control diagrams for emotions on this website

http://www.emotionalcompetency.com/sadness.htm

and thought it would be cool to model it with a state space formalism. let's take x as a vector x = [anger, sadness, joy, etc...] where anger sadness and joy are quantities probabilities that one is angry, sad, joyful, etc...

the equation d x/dt = A x where a is the probability of transitioning between emotions.

x would be normalizable to one. Since A is a probability transition matrix, it's unitary, so

the dominant eigenvector of A would have eigenvalue of 1. This would an emotional eigenstate that doesn't change in time. All other eigenstates would oscillate or decay for negative or complex eigenvalues.

A "psychon" would be a quantization of the amplitude in x.

Granted feeling are non linear and this is a first approximation, but it would be cool to see where this goes.
 
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Emotions are subjective, they are not amenable to external quantification (not easily). Furthermore this isn't published work so it goes against PF rules.

If you'd like to have a discussion about the psychology of emotions by all means do some reading on the subject and share what you find interesting, or need help with.

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