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Differential Propagation Test Across Environmental Corridors Under a Single External Timebase (Common-Component Upper Bound)
V33-33.24 · G 判决节 / 审计节 ·
33.24 turns cross-environment propagation into a differential corridor court: under one external timebase and frozen standard subtractions, Δt_diff between corridors A and B must stay non-dispersive, map reproducibly to ΔJ, pass ε_close and Z0 closure tests across frequencies and processing chains, and collapse in control corridors and permutations; under V08/V09-compatible tighten, this remains an engineering upper-bound ledger for a common propagation component rather than a universal propagation verdict.
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Keywords: single external timebase, corridor A/B, Δt_obs, Δt_std, Δt_res, Δt_diff, S_disp, J, ΔJ, ε_close, Z0, control corridors, tighten boundary
Section knowledge units
thesis
33.24 begins by putting the ruler on trial before the path. If each link keeps its own drifting clock, almost any residual can be patched into a propagation story. The chapter therefore imposes one hard condition: every departure, arrival, and alignment step is mapped onto the same external timebase before any corridor comparison is allowed. Only then does the court ask whether a frequency-independent differential common delay survives between corridors with different environments. That is why the section is compat-adjudicated as tighten. It may certify one externally timed corridor ledger or upper bound, but it may not turn one engineering comparison into a universal propagation verdict.
mechanism
The bookkeeping is explicit and differential. For each corridor i, the chapter measures Δt_obs,i and freezes a standard modeled delay Δt_std,i made of geometry, GR propagation, media terms, and instrument-delay ledgers. Their difference defines Δt_res,i, and the main court quantity is Δt_diff = Δt_res,A - Δt_res,B. Multi-band or dual-frequency recomputation yields an S_disp screen for non-dispersive behavior. Each corridor also gets a frozen environment grade J, producing ΔJ, while two-way links or multi-station timing provide closure residual ε_close, peak lag τ_peak, and the zero-lag index Z0.
mechanism
Workflow is corridor-first and clock-first. Within the same time window, matched corridors are built to share one master timebase, one signal protocol, and comparable calibration chains while separating clearly in J. Stations are first mapped onto the external time standard through an independent time-transfer link, and only then are differential propagation quantities computed. Multiple carrier-frequency families run in parallel to hard-screen media dispersion. Feed-forward cards predict the expected sign, strength, and threshold behavior of Δt_diff from geometry and ΔJ alone. Corridor and epoch labels are blinded, a subset of corridors or times is held out for final adjudication, and at least two processing chains must agree on sign and rank ordering.
evidence
Null separation uses the easiest ways to destroy a fake corridor story. Time permutations and corridor-pair shuffles must drive the environment mapping back toward random. Environment-label permutations must sharply weaken the Δt_diff versus ΔJ relation. Frequency-band permutations attack bandpass and calibration systematics. Control corridors with ΔJ near zero should collapse toward zero within errors. Hardware-swap controls test whether the differential follows equipment chains rather than corridors. If any of these nulls leave the main structure intact, the court demotes the signal to ledger or timing review.
boundary
The section passes only if all three hard gates stay open. First, Δt_diff must remain non-dispersive across bands so that S_disp is statistically consistent with zero. Second, the sign and magnitude of Δt_diff must track ΔJ in a stable monotonic or threshold-like way, while control corridors with near-zero ΔJ converge back to zero. Third, closure must survive: ε_close cannot be dominated by shared ledger drift, Z0 must rise above permutation baselines, and cross-chain recomputation must agree. Failure is declared if band changes flip the sign, if one chain or time span alone carries the mapping, if control corridors stay large, or if closure never converges. Main systematics are residual time-transfer error, incomplete medium subtraction, and instrument-ledger or bandpass drift.
interface
So 33.24 survives only as a tightened single-timebase corridor card. If non-dispersive Δt_diff, ΔJ mapping, closure, null separation, and cross-chain agreement all survive under frozen ledgers, the chapter may supply direct support or a practical upper bound for a common propagation component across environmental corridors. If not, the result is written back to timing, media, or instrument ledgers. Even on a pass, this is not a universal speed-of-light or ontology verdict. It is the terminal engineering court of the present corridor cluster, and no new overreach bridge is introduced.