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A comment on Norton’s Dome: A simple violation of determinism in Newtonian mechanics. Parent comment

Re:Norton’s Dome: A simple violation of determinism in Newto... by xyzzyz on Saturday August 05, 2023 @12:35PM (#37013721)
The article explicitly discusses the fact that this is possible specifically because of the shape of the dome, and does not work on a hemisphere, precisely for reason you bring up.
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Re:Norton’s Dome: A simple violation of determinism in Newto... by kergonath on Saturday August 05, 2023 @01:15PM (#37014231)
The article explicitly discusses this without demonstrating anything. On it’s face this argument has the weight of these demonstrations.
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Re:Norton’s Dome: A simple violation of determinism in Newto... by eesmith on Saturday August 05, 2023 @01:36PM (#37014468)
You are right - I misread it.

The next step would be to verify that the paths always stay on the surface. The mathematics shown says the point always follows the surface, but I don't see a demonstration that that's true.

I no longer have the skills to easily do this calculation.

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