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..., Watching reruns of Lost, playing Solitaire, napping, reading HN, ...

Sorry, I should have said "channel some of that concentration into productive endeavors"

As a someone who commutes by train every day, I assure you that this is much, much more likely than any productive use of the time.

Being able to turn off your brain for an hour a day definitely boosts productivity.

And emotional stability. When I've had a rough day at work, an hour of downtime on the train really improves the face I show at home.