New Jersey is poised to become the first state in the nation to finance stem cell research. Gov. James E. McGreevey will announce in his budget address Tuesday that the state will provide $6.5 million for a stem cell research institute, The New York Times reported in Saturday’s editions. Rutgers University and the University of Medicine and Dentistry of New Jersey will run the institute, which will be based in New Brunswick. McGreevey wants to spend $50 million over the next five years for research on human embryonic stem cells.