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News/Persistent Homology as a Theory of Emergent Structure
arxiv
PublishedJune 11, 2026 at 4:00 AM
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Persistent Homology as a Theory of Emergent Structure

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arXiv:2507.03065v2 Announce Type: replace Abstract: Why do some macroscopic structures remain identifiable even though their microscopic constituents continually change? Vortices persist while fluid parcels turn over, neural memories persist while spikes and synapses fluctuate, and institutions pers

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