Proximity: This is the most direct antonym, meaning closeness or nearness.
Accessibility: This refers to being easily reachable or obtainable.
Centrality: This implies being located in the middle or heart of something, rather than on the outskirts.
Closeness: This refers to being physically or emotionally near.
Familiarity: This implies a sense of being known or comfortable with something.
Connection: This refers to being linked or related to something.
Integration: This implies being incorporated or assimilated into something.
Engagement: This suggests being involved or participating in something.
The best antonym will depend on the specific context in which "remoteness" is being used.