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Solar-Conjunction Same-Source Multipath Common Term Across Solar-System Links
V33-33.20 · G 判决节 / 审计节 ·
33.20 turns solar conjunctions into a same-source multipath court: after frozen geometry, GR, plasma, troposphere, and station-ledger subtraction, a surviving Δt_common(b) must stay achromatic across frequencies, grow predictably as b shrinks with pre/post symmetry, replicate across stations at zero lag, and close between ranging and integrated Doppler; under V08/V09-compatible tightening, this remains a solar-system calibration litmus rather than a standalone verdict on all propagation ontology.
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Keywords: solar conjunction, same-source multipath, b, ε, Δt_common(b), Δt_res, ε_close, τ_peak, Z0, dual-frequency de-dispersion, station-delay ledger, tighten boundary
Section knowledge units
thesis
33.20 treats a solar conjunction as a controlled path corridor, not as a dramatic but underconstrained anomaly window. Because the same transmitter is observed while the closest approach to the Sun changes smoothly, the chapter gets a dense same-source sequence with geometry that can be frozen in advance. That is why the section is compat-adjudicated as tighten rather than retain. The court is willing to test whether an achromatic common term survives after standard subtractions, but it refuses to let one conjunction sequence become a universal propagation verdict. If the claim is real, the residual must stay frequency-independent, track b in a preregistered way, and close between ranging and Doppler. Anything less drops back into plasma, ledger, or clock explanations.
mechanism
The measurement design begins with frozen conjunction geometry. Each epoch carries the closest approach to the Sun b, solar elongation ε, and the uplink/downlink symmetry needed to define the path. At the same time, at least two coherent frequency channels provide ranging, group or phase delay, and Doppler observables. A standard modeled delay—ephemeris geometry, GR propagation, plasma dispersion, troposphere, and instrument delays—is subtracted to yield Δt_res. Only the subset that passes the achromaticity test may be labeled Δt_common. The court then records an achromaticity slope against inverse-frequency-squared scaling, the ranging–Doppler closure residual ε_close, the cross-station peak lag τ_peak, and the zero-lag index Z0 that scores how often different stations reproduce the same common-term timing within the preregistered tolerance.
mechanism
Execution is built around one full pre- and post-conjunction sequence that spans large b to small b with extra cadence near the closest approach. Dual-frequency or multi-frequency links are prioritized so that plasma de-dispersion is done epoch by epoch rather than by broad statistical correction, and laser ranging is included when feasible as a naturally achromatic reference. Ephemerides, relativistic propagation, media corrections, and station-delay ledgers are processed in at least two independent pipelines, and no Δt_common(b) curve reaches court unless the chains agree within uncertainty. Before any residual plot is opened, prediction cards freeze which epochs should enhance based only on b(t), ε(t), and link configuration. Epoch and station labels are blinded, the smallest-b region is held out, and same-source multipath cross-checks are added through alternate station links or alternate measurement modes such as two-way ranging versus one-way Doppler.
evidence
The nulls attack each likely impostor in turn. Far from the Sun, the accepted common term should weaken to near zero; if a comparable structure persists without b dependence, the first suspect is baseline drift. Before dual-frequency separation, raw residuals should show obvious dispersive plasma structure; after separation, anything still following inverse-frequency-squared behavior must be excluded rather than quietly absorbed. Randomly permuting epochs against b values should destroy any monotonic or threshold-like b dependence. Swapping station labels or deliberately remapping station-delay ledgers should break cross-station consistency; if it does not, common-mode clocks or shared processing artifacts move to the front of the queue. And if only ranging or only Doppler carries the effect, the court does not count it as a common term.
boundary
To pass, all three gates must stay open at once. First, after dual-frequency or multi-frequency separation, the accepted residual must remain achromatic under reasonable changes in frequency allocation and bandwidth. Second, the magnitude of Δt_common(b) must follow the preregistered monotonic or threshold-like dependence on b, reproduce symmetrically before and after conjunction, and replicate across stations with a Z0 score above permutation baselines. Third, ranging-derived and Doppler-integrated curves must close under one time standard, and the closure residual must remain stable on the holdout epochs instead of drifting with station identity. Failure is declared if the residual keeps dispersion-law scaling, loses meaningful b dependence, appears only for one station or one subtraction ledger, or survives epoch permutations and station swaps. The main systematics are residual plasma and scattering, ephemeris or station-ledger drift, and shared clocks or frequency standards.
interface
So 33.20 survives only as a tightened solar-system calibration card. If achromaticity, b ordering, cross-station zero lag, and ranging–Doppler closure all hold under frozen ledgers and holdouts, the section is allowed to tighten the common-term lane within one geometrically controlled corridor. If not, it falls back to media residuals, timing artifacts, or subtraction drift. Even on a pass, the result does not become a universal propagation or ontology verdict. It routes forward into 33.24’s differential propagation test under a single external timebase, where corridor comparisons are pushed into a stricter cross-environment court.