Individuals who are so happily engaged in a challenging or interesting activity that they seem to "lose themselves" in it are experiencing the psychological phenomenon called

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The psychological phenomenon described in the question is known as flow. Flow is a state of complete absorption and engagement in an activity that is challenging but also within an individual's skill level. During flow, individuals are so focused on the activity that they lose track of time and may even forget about the outside world. This state is often associated with feelings of happiness and fulfillment.

Individuals Who Are So Happily Engaged in a Challenging or Interesting