Spatiotemporal continuity is the property of well-behaved objects in space and time, that they do not ‘jump’, or in other words if a body exists at one time and a later time, then it exists throughout the interval, and if it is in one place at a time and a different place at a later time, then it traced a path through space from the one place to another.
I would note that what is well-behaved are not only objects but space and time as well.
We can infer from objects and space the characteristics of time, from object and time the characteristics of space, and from space and time the characteristics of objects.
No place can be occupied by multiple objects. Nor can place be occupied by multiple spaces. And no place can be occupied by multiple times.
Any abstraction is necessarily the removal of one of these entities within the mind, the representation.
In other words, objects-space-time is a single system. It is reality. It is what exists. Abstracted objects do not exist (they cannot be properly called “objects”) but an object that makes abstractions may exist (a universe without an abstracting conscious object is entirely possible but not likely).