{"id": "c573", "title": "C573 — Connect the two Actual/Rounded interfaces", "filename": "C573.md", "role": "Research action", "step": 573, "sha256": "ba6c6b3350c3e049746c5db1b5c3a58938d7b1be92f0badfea78b074746738a1", "bytes": 1393, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C573"], "download": "/sources/ba6c6b3350c3e049746c5db1b5c3a58938d7b1be92f0badfea78b074746738a1.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Rounded"], "excerpt": "Can the endpoint square and weighted bridge coexist without conflating their terminals?", "content": "# C573 — Connect the two Actual/Rounded interfaces\n\n## Question\n\nCan the endpoint square and weighted bridge coexist without conflating their terminals?\n\n## Inputs\n\n```json\n{\n  \"Creation_regular_Actual\": 4114,\n  \"Creation_cumulative_Actual\": 14004,\n  \"Creation_regular_Rounded\": 4106,\n  \"Creation_cumulative_Rounded\": 14006\n}\n```\n\n## Sources\n\n```json\n[\n  \"C531 synthesis; File63 §9.7; latest File52c\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:17:48.004055+00:00\n\n## Results\n\n```json\n{\n  \"weighted_anchors\": [\n    12026,\n    12026\n  ],\n  \"Creation_changes\": [\n    2,\n    -8\n  ],\n  \"weighted_change\": 0,\n  \"interfaces\": [\n    \"Creation/Exodus→Creation/Conquest\",\n    \"Actual/rounded regular+cumulative Creation→12026\"\n  ]\n}\n```\n\n## Finding\n\nBoth interfaces share the cumulative Creation change14004→14006. The regular Creation change4114→4106 cancels it in the weighted12026 bridge; the terminal change1446→1406 instead contributes to the42-year span gain. The maps meet at a node but do different work.\n\n## Reassessment\n\nReconstruct the common integral Key lattice across the newly linked spans.\n\n## Checks\n\n```json\n{\n  \"same_anchor\": true,\n  \"cancellation\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:17:48.004307+00:00\n\n## Record provenance\n\nExact record hash: `82ade997859c672d340a25bc1ced16a1189d4f9377407edfbbd2de2963bfa4bf`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-180803601a2db301", "title": "File 63"}, {"id": "file52c", "title": "File 52c"}]}