The term "temporal gyre" refers to a spiral-like movement or activity occurring over a specific period or within a particular time frame. It involves a cyclic and continuous flow of events or experiences. In terms of synonyms, one could use the phrase "chronological cycle" to describe a similar pattern of events unfolding in an ordered sequence. "Temporal whirl" could also indicate a swirling motion of activities occurring in a specific timeframe. Alternatively, "time swirl" or "time spin" could be used to depict the circular motion of events over time. These synonyms help convey the notion of a continuous, spiraling movement within a temporal framework.