Everything is event driven
Time is effected by events
1.Two stationary object in a void
2. EVENT 1 object A move away at the speed of light
3. Temporal relativity occurs.
4. EVENT 2 object A stops.
5. Temporal relativity stops.
Without events temporal relativity would not occur.
Thus events effect time and everything is event driven. Get the picture.
This who thread is about events so I met my obligation.
I think that the problem that you're having here is a matter of definition. You really haven't clearly defined what you mean by an "event" or "temporal relativity".
In your examples you have a single object moving and stopping (events) and the termination of temporal relativity (relativity). The temporal relativity part lacks something. It lacks an observer. Relativistic effects are what are recorded by a "stationary observer" in special relativity. The object under observation does not experience the relativistic effects. In fact, in special relativity, each one of them can correctly define the situation as the other being the moving object or the stationary object because the situation is relative to the perspective of the observer. Unsurprisingly, that's why it is called relativistic physics. Without an observer there are no relativistic effects. Without a second object against which to measure change uniform (unaccelerated) motion cannot be detected.
In modern relativistic physics the term "event" has a specific definition. Special Relativity is placed on a manifold that is named Minkowski Space. It is a 4 dimensional "world" (Minkowski World) with 3 space dimensions and 1 time dimension. In that world objects' histories can be traced by their unique lines, vectors, through spacetime (worldlines). Each point on the worldline is an "event" defined by four coordinates, one of which is time. Even if the object is at rest (delta (x,y,z,) = 0) relative to someother object the object's worldline continues to elongate because of the time component (delta (t) > 0.
Multiple events have seperation (the spacetime interval between two points on the worldline). The seperation is in terms of spacetime, not just space or time. The seperation between two events can be timelike, lightlike (null) or spacelike. Without going into the Lorentz Transformation let's look at the seperation as follows:
The speed of light is
c = 300,000 km * 1 sec^-1 (300,000 km per second).From that we can "transform" 1 sec = 300,000 km and 300,000 km = 1 sec.
Now we can look at timelike, lightlike and spacelike and define them.
Timelike
We have an object moving at 1/2 the speed of light. It is travelling at 150,000 km * 1 sec^-1. Apply the transform.
It is moving 1/2 sec through space for every 1 sec of time. It travels through more time than space for it to move from event A to event B. It has a timelike seperation between the two events.
Even if this object was at rest it it takes more time than space to move from event A to B.
Lightlike (Null)
Our object is now traveling at the speed of light. It is travelling at 300,000 km * 1 sec^-1. Apply the transform.
It is moving 1 sec through space for every sec of time. For every unit of space that it traverses it takes exactly the same amount of time. Speed of light defined.
Spacelike
Last, our object is travelling at twice the speed of light. It is travelling at 600,000 km * 1 sec^-1. Apply the transform.
It is moving 2 sec through space for every 1 sec of time. It travels through more space than time to move from event A to event B. It has a spacelike seperation between the events.
Note: I didn't show it but in the above examples you can just as easily and correctly state the situations in spatial distance seperation instead of temporal seperation. Just use the other half of the transform. Also note than I've purposely left out all relativistic effects in the examples. They are there in the real world but for this post unnecessary to make the point.