(covers information from several alternate timelines)
Temporal explosions are known to create Temporal paradoxs where the destruction of a star system in one time can cause a species to not exist in the other.
Such an explosion occurred in an alternate timeline in the 29th century, when Henry Starling, an industrialist from the 20th century, piloted the Federation Timeship Aeon into the future without properly recalibrating the ship's temporal matrix, resulting in the generation of an unstable temporal field which destroyed all of Earth's solar system. This timeline was later negated when the USS Voyager, which had been transported back in time from 2373 to 1996, managed to destroy the Aeon with a photon torpedo moments before it entered the rift, thereby changing history such that the explosion never occured. (VOY: "Future's End", "Future's End, Part II")