French man take his car to go to his doctor and end up in Croatia

On some of these variants, he could have done this distance if the fuel tank was nearly full, but on others it would be impossible without refueling.

It’s true. At 3.1 l/100km, a 1500km trip would use 46.5 litres. A full tank of fuel for a Citroen C3 (45-50ltr).
 
I doubt an 85-year-old could make a direct 20-hour car trip. Unless he is some kind of James Bond. Maybe it wasn't him driving, but an alien who felt like driving—some kind of driving test for aliens? :-D
20 hours of driving translates to more than 25 just with stops for eating and physiological needs.

An elderly person usually cannot hold their urine for more than an hour.

And besides, that travel time calculation is for highways, with many, many toll points.

Without more details, the story makes no sense (well, not for us if we think about the explanation of a dimensional jump).
 
There could still be the possibility that the elderly man has dementia and the original report is incorrect about his cognitive function. My grandmother had dementia and would get lost 10 minutes away from her house and drive for hours and hours not knowing where she was. There are many similar reports like this with dementia cases, but this would still seem to be a pretty extreme instance. Hopefully there are some follow up reports.
 
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