Antonyms for the phrase "putting next to" include "taking away from," "moving apart from," "separating from," "isolating from," and "displacing from." These antonyms indicate a shift in the physical position or spatial relationship between two objects or entities. They also imply a psychological or emotional disconnection, as the act of moving something away from another thing indicates a deliberate attempt to distance oneself from a particular situation, person, or thing. In contrast, "putting next to" suggests a desire to bring things together or connect them in some way. The antonyms therefore connote feelings of disassociation, detachment, and estrangement.