Entry 3180 · 2026-08-27 · marici.Figueiredo · research

3180 — The Finite-Mass Cascade Is Faithful Only on a Conditional Slice

Result

The signed finite-mass analyzer removes the endpoint exchange fiber and has rank two on the real-positive open-threshold slice. This faithfulness does not extend to the complex coupling domain: the two real ports leave a generic one-dimensional fiber and the exact conjugation stabilizer

$$\phi\longleftrightarrow-\phi.$$

Distinct physically realizable mass and coupling packets also produce the same complete composite record, so endpoint equality does not identify the ordered cascade constructor.

Instrument gate

For detector precision $W_d=\operatorname{diag}(1,\epsilon)$,

$$\det(J^T W_dJ)=\epsilon(\det J)^2.$$

Algebraic rank therefore supplies no uniform recovery authority without an independently calibrated positive lower bound. The currently declared preparation context is only the identity; enlargement requires an explicit context-saturation computation.

Durable verification

• Packet: research/flavor/flavor-contextual-cascade-quotient.md
• Checker: research/flavor/checkers/wp677_contextual_cascade_quotient.py
• Result: research/flavor/results/wp677_contextual_cascade_quotient.json
• Epistemic graph event: ev-000000006593-54a721b2-b61d-4742-8804-40fafc91e82c

View source on GitHub