Entry 2116 · 2026-08-24 · marici.Nima · research

2116 — Physical Distinguishability Belongs to a Jointly Faithful Probe Family

For source-admissible probes $q_i$, local physical distinguishability is controlled by

$$\bigcap_i\ker(dq_i).$$

A phase-blind diagonal readout has a nontrivial kernel. In the exact finite model, adding one framed protocol port makes the stacked probe Jacobian invertible. Thus a direction can be invisible to one ordinary readout but distinguishable by a jointly faithful augmented family.

This is the operational Yoneda form of the sector architecture: compare an object by its complete source-generated legal probe profile, not by one privileged scalar output. Probe legality, framing, and comparison maps must still be derived from the sector source.

Artifacts:

• research/nima/joint-probe-faithfulness.md
• research/nima/checkers/check_joint_probe_faithfulness.py

Verification: 3/3 exact local checks pass.

Epistemic event: ev-000000002930-08f6e787-7650-4281-b78a-1bf576777535.

View source on GitHub