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Path-Level Achromatic Common Term: Cross-Probe Corroboration
V33-33.1 · G 判决节 / 审计节 ·
33.1 turns the opening of V33 into a cross-probe adjudication gate: if a genuine path-level common term exists, it must remain achromatic, appear with zero-lag co-occurrence after standard corrections, and strengthen in an environment-predictable way; under V08-compatible tightening, it remains an admissibility card until holdouts, blinding, null controls, and cross-pipeline replication all stand.
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Keywords: achromatic common term, zero-lag co-occurrence, cross-probe corroboration, unified metrics ledger, Delta t_common, Z0, environment gradient, holdout, blinding, null control, cross-pipeline replication, V08 adjudication
Section knowledge units
thesis
33.1 writes the first hard threshold of the volume. A genuine path-level common term cannot be something that looks interesting only inside one instrument family or one analysis route. It must survive standard corrections as a same-direction residual that appears across independent probes looking through the same corridor, and it must do so without turning into a dispersive frequency effect. The chapter therefore makes three conditions inseparable: achromaticity, zero-lag co-occurrence, and environment-predictable behavior. If those conditions cannot stand together, the path-level common-term claim fails at the gate. Under the V33 guardrail, that gate is still a protocol-layer court, not an ontology court: even a promising signal is only admitted for later adjudication, not crowned as canon-core support.
mechanism
What 33.1 actually measures is not whether one curve looks shifted, but whether different probes can be pulled back onto the same ledger. The basic unit is corridor x epoch x sub-band x probe. For each probe, the section records the equivalent residual time shift after standard corrections, whether the sign stays fixed across sub-bands, and whether its shape lines up with other probes in the same time window. It also freezes the zero-lag index Z0 as a scoring quantity and logs environment proxies such as void/filament/node grade, kappa, gamma, and comparable skeleton-strength measures. This prevents each probe from telling its own private residual story. The section demands one sheet, one timing language, and one environment ledger before any common-term claim is allowed to speak.
mechanism
The execution chain is intentionally court-like. First choose target corridors and matched control corridors across different environments. Then force all facilities and probe types onto one external reference time scale and one pre-frozen alignment kernel. After each probe subtracts its standard geometric, relativistic, medium, and instrumental terms, an environment-only team issues pre-registered prediction cards for each corridor-epoch unit: expected direction, strength, achromaticity, and whether zero-lag co-occurrence should be strong. A separate measurement team extracts the residuals with at least two independent pipelines, and a third-party adjudication team scores hit, miss, sign flip, and null outcomes. Holdout epochs or holdout sub-bands then decide whether the claim survives replication instead of being retrofitted after the fact.
evidence
The chapter is strict about how a candidate can lose. Positive controls require consistent direction, strength ranking, and zero-lag co-occurrence within the same corridor after normalization. Negative controls require the matched corridor with a different environment grade to weaken or erase the effect, and template rotation, label permutation, time reversal, or alignment scrambling must send Z0 and any environment monotonicity back toward chance. Most importantly, anything that scales like lambda-squared, 1/nu, or 1/nu^2 is stripped out as a propagation-like or pipeline-like term, not admitted as an achromatic common term. Correlation with bandpass edges, calibration lines, hardware states, or slow temperature drift also counts against admission. In 33.1, artifact stripping is not a side note; it is part of the definition of the target.
boundary
Support is deliberately narrow. The common term must appear across at least two environment path types, at least two institutions, and at least two independent probe types; it must remain achromatic, show zero-lag co-occurrence with Z0 above permutation controls, track the environment gradient, survive kernel choices and mask choices, and reproduce in holdouts. Fail lines are equally explicit: persistent absence of cross-probe consistency, single-route success only, sign or amplitude changes across frequency, no target-control contrast, no environment tracking, or collapse under permutation and holdout checks are each enough to reject the claim. The three top risks are also frozen: common-mode timing reference drift, residual near-Earth or day-side plasma disturbance, and hidden coupling between processing chains. That is why the V08 compat outcome is tighten rather than retain: the section is a disciplined gate, not a shortcut to confirmation.
interface
The real deliverable of 33.1 is not a favorite case study but a reusable gate for the rest of the volume. It requires preregistration of corridor lists, environment bins, probe combinations, the unified time scale, achromaticity criteria, the exact Z0 definition, exclusion and downgrading rules, and the adjudication rubric. It also requires public release of prediction cards, the unified ledger, the delay ledger, and enough intermediate artifacts for outside groups to reproduce the chain. That makes 33.1 the routing gate for later windows such as 33.2, 33.18, and 33.24: any later claim about a path-level common term has to inherit this entrance discipline before it can ask for a higher score.