The Philadelphia Orchestra, which appears at Carnegie Hall on Tuesday evening, is functioning without a permanent board chairman, chief executive or music director. It has canceled a prestigious European tour scheduled for this summer, delayed a project to stream concerts on the Internet, and will see its recording deal end with no clear extension or replacement certain. And its new home, Verizon Hall in the Kimmel Center, which opened with much fanfare in 2001 and has been dogged by criticism of its acoustics, faces yet another acoustical evaluation.