The Singularity is the Observer

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" summary

Claims that quantum physics is fundamentally topological, arguing quantum observables are self-adjoint operators whose space is noncontractible and in fact the union of Grassmannians, and proves that this topology forces the usual quantum singularities. Shows a one-to-one correspondence between the impossibility of continuous, anonymous, unanimous aggregation maps (Arrow-style) and the failure to remove those singularities, summarized by the slogan singularity is the observer. Slides and papers are available.

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" chapters (12)

1. 0:00Quantum physics and topology
2. 1:26Quantum physics as topology
3. 3:01Observables: quantum vs classical
4. 5:43Quantum and social choice
5. 9:21Singularity is the observer
6. 13:21Impossibility theorems
7. 16:27Singularities: classical vs quantum
8. 20:09Observer in singularities
9. 22:51Topology differences
10. 27:03Topology in quantum and choice
11. 28:28Arrow paradox quantum
12. 29:11Conclusion: Observer defines quantum