Failed approach · observation loss

FPRD-QA-MX-F3

More trace powers do not recover Jordan data

Exact statement

Extending scalar trace observations to every positive power still leaves the Jordan receipt invisible.

StatusRefuted by theorem and examples
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

FPRD-QA-MX-T05 proves equality of the full trace-power and invariant quotients.

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

  • No novelty or specialist-review claim is made; the statement is limited to the displayed presentation and hypotheses.

Open work

Change the observation type rather than merely adding more scalar powers.