Brain Entropy and Handedness

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Brain entropy refers to the neural states a brain can take. The more neural states the brain can assume the higher the entropy and the higher the intelligence. I was thinking about the different hemispheres of the brain and the amount of entropy in either hemisphere.

The question is are the entropy levels of both the left and right hemisphere equal? I highly doubt so because the right brain is known for divergent thinking, which makes me assume that the right brain would have a higher level of entropy than the left brain.