Multiple realities
(covers information from several alternate timelines)
Starship deploy status 1

Sector 034 on the Starship Deploy Status Chart

Sector 034 was a region of space.

In 2365, the Federation starship USS Excelsior was assigned a deep space exploration mission of this sector. The sector was listed on the Starship Deploy Status chart that was on display in the courtroom of Starbase 173. (TNG: "The Measure Of A Man", okudagram)

In the alternate 2259, this sector was labeled on a map of the Alpha Quadrant. This map was in a collection of graphics and video media that were seen on a powerwall in the offices of Admirals Christopher Pike and Alexander Marcus at Starfleet Headquarters. (Star Trek Into Darkness)

This sector was only mentioned in writing.
As the result of the two-dimensional nature of the map, it is not possible to know the region's location in relation to the Klingon Empire. The map is visible in the video "Star Trek: Into Darkness – User Interface VFX" at [1]