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Read the result in its research context.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Established in scope

Long machine run retains motion despite stable aggregate rank

In the question: Common clock sectors, quartic geometry and operational reconstruction

One actual measured run of the declared rule. Frozen response is not the full Jacobian;no general attractor or physical clock. Rate dependence is separately retained.

Read the exact result, assumptions and evidence

Result

Archived run reaches100000steps with rank3.794077326,code.981093691 and signal change.000377118958 perstep. Reconstructed frozen120x120response has periods11201.2123 and64540.3822iterations and reproduces1000more actual nonlinear steps with relative error5.4759e-14. Stable aggregates are not a microscopic fixed point here. The100000checkpoint was checked against these measurements during consolidation.

Required assumptions

  • Explicitly chosen recursive SOM rule on60 native signal cells

    Given solely for the authorized model study is the60x35 complex update of RECURSIVE-SOM-AUDIT.txt section1,with native K60,fixed neighbors,row normalization,Euclidean winners,batch means and chosen c,beta,eta. The code basis is readout only. This update and its initial alignment are not primitive TFPT laws.

  • Do not identify source types

    Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.

Original evidence

  • COLLECTIVE-MACHINE-RUNS.txt lines 1–61

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/collective-native-marginal-origin-20261026/COLLECTIVE-MACHINE-RUNS.txt

    2ac6e05655b8b20d4b3d4b87d3dad6bdc2b497ef14a5c8ed1cecf28fe4f0568f

  • baseline_summary.json lines 1–182

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/collective-native-marginal-origin-20261026/baseline_machine_evidence/baseline_summary.json

    d114244dd760bdadf412011e504c8c858ecfde8234421216372f6e2bd131c8e8

  • experiments.py lines 1–94

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/collective-native-marginal-origin-20261026/baseline_machine_evidence/experiments.py

    1784ad193492d2763e3909431e1ea8aa56fd31d3c63c2e0d9f6f5a3e237f556d

  • inspect_dynamics.py lines 1–65

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/collective-native-marginal-origin-20261026/baseline_machine_evidence/inspect_dynamics.py

    4db50b15e60f53929eb5e0f2b7a91a781b7d6b744e2934a05ca19915e93e8a6e

  • provenance.json lines 1–46

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/collective-native-marginal-origin-20261026/baseline_machine_evidence/provenance.json

    6fae730e51fa4138a4644971217c4ef2b777631e63238056da484fbdd4b2d265

finding:declared-recursive-machine-long-run-retains-motion-at-stable-aggregate-rank