Paper X: Universal Residual Seeds and Conditional Occupied-System Completion
What can lifting a residual representation recover, and which existence questions remain beyond it?
Residual classes form separate lifting branches. The paper studies reconstruction along those branches and conditional completion in supplied compatible carriers, separating vertical lifting from horizontal existence.
Assumptions and limits. Completion depends on the declared comparison, carrier, and occupancy inputs. Transported targets and a summand in a supplied carrier are distinct outputs; general arithmetic attachment remains open.
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Recorded results and limits: The amended 20/20 contract is conditional. Transported targets and a summand in a supplied carrier are separate outputs. General arithmetic attachment remains open.
Remaining work: Keep the amended contract distinct from stronger historical attempts. Supply missing comparison and arithmetic inputs before any stronger promotion.
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