ImagoThe former world number two crashed to a 5-1 defeat to Indian Mehta, who is ranked 80 in the world, in the third qualification round in Sheffield.
Mehta will now face Jamie Cope for a place in the tournament proper in China, which takes place at the end of June.
The fourth and final round plays out on Friday, with the 16 winners booking their places at the first ranking event of the season.
Joining White on the scrapheap after Thursday's play were fellow veterans Steve Davis, who lost 5-3 to Kurt Maflin, and Tony Drago, a 5-1 loser against Jack Lisowski.
Youngster Luca Brecel's run was ended by Jamie Burnett while Liang Wenbo and Alan McManus were also ousted from the running.
Round three results:
Nigel Bond 3-5 Jimmy Robertson
Jimmy White 1-5 Aditya Mehta
Matthew Selt 5-3 Simon Bedford
Jack Lisowski 5-1 Tony Drago
Jamie Burnett 5-4 Luca Brecel
Rory McLeod 5-3 Mark Joyce
Xiao Guodong 1-5 Michael White
Liang Wenbo 3-5 Rod Lawler
Alan McManus 2-5 Barry Pinches
Dave Harold 5-4 Alfie Burden
Gerard Greene 5-1 Li Yan
Anthony McGill 4-5 David Gilbert
Ben Woollaston 1-5 Passakorn Suwannawat
Steve Davis 3-5 Kurt Maflin
Robert Milkins 5-4 Liu Chuang
Mike Dunn 1-5 Peter Lines
Fourth round matches:
Barry Hawkins v Jimmy Robertson
Jamie Cope v Aditya Mehta
Peter Ebdon v Matthew Selt
Ken Doherty v Jack Lisowski
Marco Fu v Jamie Burnett
Mark Davis v Rory McLeod
Anthony Hamilton v Michael White
Jamie Jones v Rod Lawler
Tom Ford v Barry Pinches
Mark King v Dave Harold
Fergal O'Brien v Gerard Greene
Marcus Campbell v David Gilbert
Joe Perry v Passakorn Suwannawat
Michael Holt v Kurt Maflin
Ryan Day v Robert Milkins
Dominic Dale v Peter Lines
