Manuscript En10-B@1 · En10-B.tex · section · a1105bad
Obligations O1–O6
The six physical obligations and the exact remaining gap › Obligations O1–O6 · lines 1656–1731
- O1: Physical derived channel.
Supply one actual finite positron source model, its microscopic generator, source delivery and encoding, auxiliary preparations, validity domain, and detector. Derive its acquisition channel and prove the comparison required in Definition def:physical-package. Exponentiating the pilot generators discharges the finite-model part only.
- O2: Record-to-source identification.
Identify , its source templates, and their encoded meaning. Prove the parameter relation on the promised family. If nuisance or competing templates vary, use a confidence set or establish a complete-law separation. Proposition prop:overlap shows that unconditional point identification over a broad nuisance class is false.
- O3: Calibration uncertainty.
Supply a calibration set and its joint coverage event. Compute a justified allowance, not one fitted away by arbitrary nuisance adjustment. The nominal calibration conversion and radius are proved here; their applicability to a positron apparatus is not established.
- O4: Complete-record finite-shot guarantee.
Supply independent attempted trials, fixed validation counts, failure scoring, and a predeclared candidate family. Once those hypotheses hold, the statistical guarantees in this manuscript apply. No source-dependent postselection or unaccounted adaptive stopping is licensed.
- O5: Residual and non-identification ledger.
Assign every source purification, selector, collision environment, detector complement, and retained spectator. Distinguish omitted parameters from included but unresolved nuisance. No absolute Galactic rate, continuum turbulence spectrum, or sky map is identified.
- O6: Layer separation.
Specify the actual controller and schedule. Scheduled support is an upper bound on dependence. Any physical causal embedding requires independently supplied geometry and location data; it is not a conclusion of the estimation certificate.
| Gate | Finite-model result | Physical target status |
|---|---|---|
| O1 | Explicit finite generator, propagator, and acquisition constructed | Positron dynamics, encoding, detector, and comparison not supplied. |
| O2 | Likelihood, sensitivity, information, and equal-law ambiguity proved | Physical source observable and its template correspondence required. |
| O3 | Worst-case calibration conversion proved | Physical calibration event and allowances required. |
| O4 | Fixed-shot estimation and competing-family certificates proved | Independence and complete physical attempted-run law required. |
| O5 | Finite residual and omitted-parameter distinctions proved | Actual source/apparatus complement assignment required. |
| O6 | Finite scheduled-support statement proved | No geometric embedding constructed. |