The antonyms for the phrase "lying near" are "far", "distant", "remote", "removed", and "away". These words indicate a separation or distance between objects or people. For example, if something is far away, it is not lying near. Similarly, if two people are distant, they are not lying near each other. The antonyms for "lying near" express a sense of distance or disconnection, suggesting that two things or people are not in close proximity. These words are particularly relevant when describing spatial relationships, but they can also be used metaphorically to describe emotional, social, or intellectual distance.