Sometime in the 1960's I read a novel featuring time travel via a giant underground synchrotron. At some point the protagonist travels to a future where the synchrotron facility has been destroyed in a war. The cover showed a skeleton at a control panel in the facility.
The protagonist was male and might have been US military. The facility might have been in the US southwest. One of the operators of the facility (and possibly the skeleton on the cover) was a female love interest of the protagonist. The protagonist might have traveled back to the present to try to avert the war and save female operator.
Some of these details may be conflations of other stories. I haven't found this plot in lists on Wikipedia or Goodreads.