Before Sputnik · claim TRN-C107 · Observation rung · Population statistics and correlations

A χ² comparison of the observed deficit-versus-antisolar-angle profile of the complete VASCO working catalog against spherical-shell shadow models yields its minimum at an assumed altitude of 20,000 km above Earth's surface for each of the fitting intervals 0–18°, 0–20° and 0–25°.

Not featured in the current editionAI-extractedorigin: report 2026-09-10-inbox-transients-173613

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[p. 11]

“the complete sample consistently yields a minimum”

Evidence

Context· weakTRN-E054

Modelling preprint: χ² fit of the angular deficit profile to spherical-shell models — part 2

what the source states: The analysis is run on both the complete catalogue and the quality-filtered sample and "repeated for three fitting intervals": 0°–18°, 0°–20°, and 0°–25°.
what we infer: Reduced χ² at the best fit is 3.5–5.4 for the complete sample, i.e. the model does not fit well in absolute terms; the authors acknowledge the model lacks orbital dynamics and phase-dependent brightness. The preferred altitude from this estimator (20,000 km) sits below GSO, while the projection used in the companion hotspot paper assumes 35,786 km.
limitations: Simplified Monte Carlo without orbital dynamics
No formal confidence interval; range is a spread across choices
Fit restricted to the 'drop' region by the authors
Direction set to "context" (from "supports") by the second reader (claude-sonnet-5, 2026-09-10, run 2026-09-10-verify-transients-174405, verify-v5) at intake: The quoted sentence only reports that three fitting intervals were used for both samples; it does not state the specific finding in TRN-C107 that the complete-sample minimum falls at 20,000 km for each interval. As such it establishes methodology rather than confirming the claim's substantive result, so it should be classified as context rather than supports, though it still bears on TRN-C107 since it describes the procedure underlying that finding.

Beatriz Villarroel (2026)AI-verified citation

Supports· weakTRN-E055

Modelling preprint: χ² fit of the angular deficit profile to spherical-shell models — part 3

what the source states: For the complete transient catalogue, "the complete sample consistently yields a minimum" χ² at 20,000 km above the Earth's surface across all three fitting intervals (Table 2).
what we infer: Reduced χ² at the best fit is 3.5–5.4 for the complete sample, i.e. the model does not fit well in absolute terms; the authors acknowledge the model lacks orbital dynamics and phase-dependent brightness. The preferred altitude from this estimator (20,000 km) sits below GSO, while the projection used in the companion hotspot paper assumes 35,786 km.
limitations: Simplified Monte Carlo without orbital dynamics
No formal confidence interval; range is a spread across choices
Fit restricted to the 'drop' region by the authors

Beatriz Villarroel (2026)AI-verified citation

Context· weakTRN-E056

Modelling preprint: χ² fit of the angular deficit profile to spherical-shell models — part 4

what the source states: For the quality-filtered sample, the best-fitting altitude "shifts slightly from 20 000 km for the" 0°–18° interval to 25,000 km for the 0°–20° and 0°–25° intervals (Table 2).
what we infer: Reduced χ² at the best fit is 3.5–5.4 for the complete sample, i.e. the model does not fit well in absolute terms; the authors acknowledge the model lacks orbital dynamics and phase-dependent brightness. The preferred altitude from this estimator (20,000 km) sits below GSO, while the projection used in the companion hotspot paper assumes 35,786 km.
limitations: Simplified Monte Carlo without orbital dynamics
No formal confidence interval; range is a spread across choices
Fit restricted to the 'drop' region by the authors
Direction set to "context" (from "supports") by the second reader (claude-sonnet-5, 2026-09-10, run 2026-09-10-verify-transients-174405, verify-v5) at intake: The quote accurately reflects the paper's statement about the quality-filtered sample's best-fit altitude shifting from 20,000 km (0-18° interval) to 25,000 km (0-20° and 0-25° intervals), and the locator (p.11, Table 2) is correct. However, claim TRN-C107 specifically asserts that the *complete* VASCO catalog's χ² minimum is invariant at 20,000 km across all three intervals — a distinct sentence in the same paragraph referring to a different sample. The quoted passage about the quality-filtered sample actually shows variation rather than invariance, so it neither supports nor undermines the complete-sample claim; at best it is background context about the same modelling exercise.

Beatriz Villarroel (2026)AI-verified citation

Context· weakTRN-E057

Modelling preprint: χ² fit of the angular deficit profile to spherical-shell models — part 7

what the source states: The combined 20,000–35,000 km altitude range reflects variation between samples, fitting intervals, and estimators "rather than a formal statistical confidence interval".
what we infer: Reduced χ² at the best fit is 3.5–5.4 for the complete sample, i.e. the model does not fit well in absolute terms; the authors acknowledge the model lacks orbital dynamics and phase-dependent brightness. The preferred altitude from this estimator (20,000 km) sits below GSO, while the projection used in the companion hotspot paper assumes 35,786 km.
limitations: Simplified Monte Carlo without orbital dynamics
No formal confidence interval; range is a spread across choices
Fit restricted to the 'drop' region by the authors
Direction set to "context" (from "supports") by the second reader (claude-sonnet-5, 2026-09-10, run 2026-09-10-verify-transients-174405, verify-v5) at intake: The quoted sentence is accurately quoted and appears at p.11, and it fairly reports the authors' caveat about the 20,000-35,000 km combined range not being a formal confidence interval. However, TRN-C107 is a specific claim about the χ² minimum landing at 20,000 km for each of the three fitting intervals using the complete catalog, a result stated in the preceding paragraph, not in the quoted sentence, which instead caveats the broader multi-method altitude range. The quoted passage therefore provides background/interpretive context on the overall altitude estimate rather than confirming or weakening the specific per-interval χ² minimum claim, so it should be marked as 'context' rather than 'supports'.

Beatriz Villarroel (2026)AI-verified citation

an honest empty state

This claim is in the ledger but not in the current edition's featured set. Nothing here has been assessed — that absence is information, not an oversight.

Still missing: plain-language gloss, credibility assessment, diagnosticity assessment, strongest objection, what would change our mind. A claim gains them when an edition features it and the edition's adopted assessment supplies the full treatment — a decision the panel reviews, not a field anyone flips.