Bartosz Milewski on Nostr: In physics, a conservative force is a force with the property that the total work ...
In physics, a conservative force is a force with the property that the total work done by the force in moving a particle between two points is independent of the path taken.
In HoTT, the value of a mapping out of identity type does not depend on the path, only on its endpoints.
The tricky part is when the path is closed. The total work then is zero. In HoTT there are non-trivial paths that cannot be shrunk to a point. This reminds me of the Aharonov-Bohm effect. I wonder how far one can stretch this physics analogy.
Published at
2025-10-06 16:37:51 UTCEvent JSON
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