Negative comparison

FPRD-QA-MX-F4

The balanced core is not a Jordan receipt

Exact statement

Restricting attention to the balanced normal locus records the closed semisimple orbit in each invariant fibre, but it does not retain the Jordan data of nonsemisimple orbits in that fibre.

StatusExact scope boundary
External reviewNo documented external or specialist review of this Quotient Arsenal result is recorded.

Context

The matrix calibration separates the invariant quotient, its closed semisimple core, the Jordan receipt lost inside a fibre, and the quotient that is universal for a declared family of future observations.

Proof or evidence

The collision between 2I22I_2 and J2(2)J_2(2) exhibits the missing receipt explicitly.

Verification notes

The archived proof and failure boundaries were reconstructed; the public dependency-free verifier checks 44 partitions, 233 dominance comparisons, six scaling rows, the smallest collision, and sharp observation chains through dimension seven.

Limitations

  • The statement compares two information interfaces; it is not a claim about every form of derived reduction.

Open work

Combine balanced-locus data with a separate fibre-degeneration receipt.