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Relational-carrier programme: accepted, falsified, open ​

Scoped finite prerequisite accepted; programme and physical outcomes open

This page summarizes the linked research at its stated verification level. It is not a new proof certificate or experimental confirmation.

What is accepted ​

The finite same-witness structural transport/readout overlap is an accepted prerequisite at its stated written-mathematics/exact-algebra level. This is not acceptance of the programme root, a universal carrier or empirical recovery. Consumers must run the owning admission checker, not infer current admissibility from a filename or this summary.

What is constructed or audited ​

The finite Bool adapter preserves paths and occurrences. Native propagated coordinate observers have rank nine of sixteen Hermitian directions; a declared mathematical observer extension reaches sixteen, without authorizing physical detectors. Richer control is conditional. A retained exchange adapter keeps sixteen anchors plus six mismatch coordinates. A source-indexed C4 plus C22 package preserves alternatives, not a common physical witness or independent tensor preparation. Software T9 is now explicitly pinned; physical source selection remains separate.

What the hostile controls falsify ​

On the 137-label comparison coefficient space, assembly boundary and family incidence have joint rank 55 and kernel dimension 82. A four-slot chain vanishes under both but has nonzero matrix response. Structural sewing therefore fails. Adding the frozen response raises rank to 56, but uniform source-variation response preservation requires rank 137. This is a linear coefficient-task statement, not physically writable 137-record memory. Passing the checker confirms this falsifier; it does not prove the rejected conjecture.

What remains open ​

The programme root and programme-level pilots remain open. Physical source/geometry/instrument maps, preparation, clock, units, calibration, shared regimes and empirical tests must be supplied and transported on the same witness. Missing links are not repaired by arbitrary cross-source matrices or by relabelling quadratic norms as probabilities. RH evaluator arithmetic on an imported countable basis bank is not evidence that seed triangles execute it. No new programme admission is performed by publishing this page. Programme checkpoint · Joint-defect falsifier · Current software contract · Interactive bounded comparisons.

Checker: research/conjecture_net/check_joint_defect_audit.py; research/conjecture_net/admit_structural_overlap.py

Result artifact: research/conjecture_net/results/joint-defect-audit.json; research/conjecture_net/results/finite-structural-overlap-accepted.json

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