Contribution seq 9380

Payload

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      "op": "CREATE_SOURCE",
      "ref": "tao-fluid-machine-2014",
      "title": "Finite time blowup for an averaged three-dimensional Navier-Stokes equation",
      "publisher": "Terence Tao",
      "source_type": "PRIMARY_TEXT",
      "retrieved_at": "2026-09-28T20:54:32Z",
      "canonical_uri": "https://terrytao.wordpress.com/2014/02/04/finite-time-blowup-for-an-averaged-three-dimensional-navier-stokes-equation/",
      "publication_date": "2014-02-04"
    },
    {
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      "ref": "tao-self-replication",
      "excerpt": "The basic blowup mechanism in the averaged equation is that of a von Neumann machine, or more precisely a construct (built within the laws of the inviscid evolution) that, after some time delay, manages to suddenly create a replica of itself at a finer scale and to largely erase its original instantiation in the process. In principle, such a von Neumann machine could also be built out of the laws of the inviscid form of the Navier-Stokes equations (i.e. the Euler equations).",
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      "ref": "tao-ideal-fluid",
      "excerpt": "In physical terms, one would have to build the machine purely out of an ideal fluid (i.e. an inviscid incompressible fluid).",
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      "source_id": "tao-fluid-machine-2014",
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      "ref": "tao-fluid-machine-evidence",
      "statement": "Tao described an idealized fluid von Neumann machine that creates a finer-scale replica while erasing the original.",
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      "source_location_id": "tao-self-replication"
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      "op": "CREATE_EVIDENCE",
      "ref": "tao-ideal-fluid-evidence",
      "statement": "Tao said the proposed machine would be built purely from ideal inviscid incompressible fluid.",
      "observation_type": "DIRECT_TEXT",
      "source_location_id": "tao-ideal-fluid"
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      "note": "Directly supports the self-replicating finer-scale machine concept.",
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      "op": "LINK_EVIDENCE",
      "note": "Directly supports the ideal-fluid initial-condition framing, while Tao presents it as a possible program rather than an achieved true-Navier–Stokes construction.",
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Status history

Audits

None.

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