Really? wow thats really good info. The ground is the one that its leads to the pump? or to the actual battery?Sounds like voltage dropout. Check all the cable connections on the battery and the starter solenoid . There is a ground connection on the left lower case of the engine. The engine goes to crank and the when there is a lot of high resistance in the cables voltage drops to nothing shutting the ecu off for a second .Then when the solenoid loses voltage the ecu get power again and it start again making the noise you are hearing. This could also be caused by a locked up engine or junk battery.