Discontinuities refer to an interruption or a gap in something, and can be substituted with synonyms such as disruptions, interruptions, breaks, gaps, or discontinuations. Disruptions refer to something that causes a source of disturbance, while interruptions are a halting or pausing of something. Breaks are a temporary intermission or suspension of something. Gaps are spaces or intervals where something is missing or not yet completed. Finally, discontinuations refer to a complete cessation or stopping of something. These various synonyms may have slightly different connotations or implications, but all refer to some form of interruption or break in continuity.