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That whole paragraph would be an embarrassment to a reputable publication, but it's Cycling Weakly so no harm done.
"Concussion is caused by
force, usually sudden decelerationacceleration, which may or may not be the result of a direct impact to the head. Therefore, a bike helmet cannot preventmitigate concussion by reducing the acceleration...However,the primary role of a helmet isnot to prevent concussion but to protect from structural skull injuryto reduce acceleration"
There is a non-negligible risk of coming off the bike in a range of circumstances which are outside of your control - given how concussions can be potentially a lot more catastrophic than skinned elbows/broken collarbones, what's the downside of wearing a helmet? Is it the cost and the fact that you may be more likely to take risks when wearing one?