Undefeated 3-year-old Lost in the Fog set a six-furlong track record at Golden Gate Fields while winning the $90,000 Golden Bear Breeders' Cup Handicap Saturday.The dark bay Florida-bred son of Lost Soldier was timed in 1:07.32 in beating his nearest rival, Wind Water, by 10 lengths. Lost in the Fog, who was sent off at odds of 1-20 in a three-horse field, remained perfect in six career starts. Trained by Greg Gilchrist for owner Harry J. Aleo, Lost in the Fog earned $55,000. The $48,000 Ocala buy in August 2003 now boasts a bankroll of $417,075.Lost in the Fog, carrying 124 pounds, spurted to the lead in the opening jump away from the gate for jockey Russell Baze and was under a hold without being asked all the way around. Wind Water bobbled at the break and chased the winner to the turn before giving way, finishing 6 1/2 lengths ahead of Olympic Miler.The winner, who has a pair of graded stakes victories to his credit, paid $2.10. Lost in the Fog won the Bay Shore (gr. III) by 4 1/2 lengths in last start, which came at Aqueduct on April 9. He broke his maiden debut at Golden Gate in his only previous start at the Albany track in November. Susan Seper bred Lost in the Fog, who was produced by the Dr. Carter mare Cloud Break.