2 Answers

  1. From the point of view of pure mathematics, the answer is yes. For example, we can consider a point in space-time and consider it an event when 0.5 seconds have passed since the observation, then 0.55, 0.555, and so on. Then, after 5/9 seconds from the moment of observation, the following event will occur:�∞ such events.

    From the point of view of physics, everything is not so clear. The fact is that modern science has not yet decided whether time is discrete or not (in other words, whether it is possible to find the minimum time interval). So string theory takes it as a continuous quantity, and many calculations of quantum gravity are based on its discreteness. If time is continuous, then you can build events similar to the specified example, but if it is still discrete , you cannot build such an example, since the event necessarily implies some change in space-time that has occurred.

  2. A correctly asked question contains the answer to it. I think that since the concept of an event is a formal concept, it is necessary to first mathematically determine what is considered an event and in what model we work. If we recall the aporia of Zinon, for example, and consider this example: we throw a ball from a height of 1 meter, and the event will be that the ball (its lower point) has passed half the way to the ground. When he has passed this half (1/2) meter, the next event will be-when he passes the remaining half (1/4) meter, etc. Continuing in this vein, it turns out that before the ball hits the ground, an infinite number of events will occur. If we assume that space and time are discrete, then the universe can be represented as a huge four-dimensional grid, but with finite dimensions. Then, it is obvious that in a finite time, the cells can be filled with only a finite number of different states, and therefore the set of events will be finite.

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