In the context of special relativity, the concept of existence does not necessarily require a reference frame. Special relativity deals with the behavior of objects and events in different inertial reference frames, but the existence of something is not dependent on any specific reference frame.
In general terms, we can say that something exists if it possesses certain properties or qualities and has an impact on the world in some way. The existence of an object or an event is not contingent on an observer's reference frame.
Reference frames are used to describe and analyze the motion and interactions of objects and events. Different reference frames may have different perspectives or measurements of the properties, positions, and velocities of objects. However, these different observations and measurements do not affect the inherent existence of the objects or events themselves.
For example, consider a rock lying on the ground. The rock exists regardless of whether we observe it from a stationary reference frame or a moving reference frame. Its existence is not dependent on any specific frame of reference.
Special relativity provides a framework to understand how different observers in different reference frames perceive the properties and behavior of objects. However, it does not alter the fundamental concept of existence itself. Objects and events can exist independent of any reference frame, and their properties and behaviors can be analyzed from various frames of reference.