According to my research on different scientific anomalies or terminology, I can say that based on the information provided within the question this is an example of Motion Parallax. This term refers to a depth cue where an individual views objects that are closer to us as moving faster than those objects further from us. Which is what the companion in this situation is describing.
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1. they were both educated in france 2. they both felt that the end of the monarchy was inevitable 3. they were both artist 4. they both felt that science would improve the world