Difficulties around the idea of spontaneous breaking of time translation symmetry in a closed quantum mechanical system are identified, and then overcome in a simple model. The possibility of ordering in imaginary time is also discussed.
arXiv comments
6 pages, no figures. v2: tightened format, additional references, small improvements
Linked by 3 identifiable commenters in 3 comments across 3 threads, from Aug 2012 to Jun 2018. Found in 1 HN submission from Jul 2024 to Jul 2024. Open submission discussions.
A quick check makes me think that one has fallen quite recently(?): https://arxiv.org/pdf/1202.2539v2.pdf https://en.wikipedia.org/wiki/Time_translation_symmetry https://en.wikipedia.org/wiki/Time_crystal Edit: Also…
Pfft. What if I conceive to build a perpetual motion machine, or conceive to disprove Special Relativity? First one, liquids with zero viscosity, such as helium superfluids. - http://www.sciencemag.org/content/286/5438/213.summary Or even 4 dimensional quantum time crystals…
A quick check makes me think that one has fallen quite recently(?): https://arxiv.org/pdf/1202.2539v2.pdf https://en.wikipedia.org/wiki/Time_translation_symmetry https://en.wikipedia.org/wiki/Time_crystal Edit: Also…
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