For scoring purposes, it is called a foul and the pins knocked down are not counted.
For safety purposes, crossing the foul line can be dangerous as there is lane oil used starting from the point of the foul line working its way down towards the pins for a specific length depending on the center. This oil is used to help preserve the life of the lanes as well as being a challenge to the sport.
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It is called a "foul". The bowler receives a score of 0 for that delivery. If any pins were knocked down on the first delivery they must be reset. If a foul occurs on the second delivery, the bowler is done for that frame.