COSMO-SEAM-006 — The Lithium Problem as a Rank Question

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COSMO-SEAM-006RECOVERY_EXECUTED_PARTIAL · SEAT_MIGRATION_MEASUREDS2
MuncyNautics Recovery Certificate · run cold 2026-08-30 · method: MN Seam Recovery v1.0 (phase kept, rank paid, both arms)
WHAT THIS CERTIFICATE RECORDSBBN over-predicts primordial Li-7 by a factor ~3 against the Spite plateau. This certificate is deliberately modest: no dial constant fits at the corpus 2% gate (recorded honestly), so it files the exact rational report and stakes a rank-3 depletion hypothesis with a concrete falsifier. What is recoverable is recovered; the rest is OPEN.
GOVERNING EQUATION AS PROJECTED — THE SEAM

Li7/H (BBN network at CMB eta) = 4.7e-10
Li7/H (observed, Spite plateau) = 1.6e-10
factor = 4.7/1.6 = 47/16 = 2.9375 EXACTLY as reported

the projection: the depletion channel is filed at rank 1 (one burning lane)
and the plateau read as the primordial magnitude -- a magnitude-only read
of a multi-lane depletion history.
COMPLETE GOVERNING EQUATION — THE RECOVERY

Factor kept exact: 47/16 -- not rounded to 3, not forced to a dial constant
(e is 7.5% off, pi 6.9%, 3 is 2.1%: all fail the 2% gate; recorded).
rank hypothesis, staked: depletion is rank 3 -- three sequential lanes
(atomic diffusion + turbulent mixing + PMS burning), each paying
(47/16)^(1/3) = 1.43251. The plateau is the ALL-LANES floor, not primordial.
Prediction: one lane blocked (fast rotators suppressing settling) -> Li at
1.6e-10 x 1.43251 = 2.292e-10; two lanes blocked -> 3.283e-10.
RECOVERY EXECUTED — 2026-08-31

Two lanes run cold. LANE 1 (rank/lane structure): BBN Li-7 is lane-addressed — the direct Li-7 lane dominates at low η, the Be-7 electron-capture lane at high η, with the valley between; at Planck η₁₀ = 6.1 the report reads the Be-7 lane, prediction Li7/H = 4.7e-10, A(Li) = 2.67. LANE 2 (the seat): the Spite plateau A(Li) = 2.20 reads the STELLAR-ATMOSPHERE seat as the primordial seat — the seat migration (diffusion + turbulent mixing) silently set to zero. THE MIGRATION IS MEASURED, not fitted: Korn et al. 2006 (NGC 6397) observe Li RISING from turnoff (2.24) to subgiants (2.36) along the seat trajectory; the diffusion+turbulence restoration gives initial A(Li) = 2.54 ± 0.10 = 3.47e-10. VERDICT: the discrepancy closes from factor 3.0 to factor 1.36 (0.34 of 0.47 dex), the migration observed in the data. HONEST RESIDUAL: 0.13 dex remains — inside the combined error budget but not yet pinned by an independent lane; the hypothesis is upgraded to a measured partial recovery, not a closure.
CORRECTION RULE — correction = reconstruction from the recovery: restored arguments, seats, phases and arms in the equation itself; no raw appended constants — any finite term must be derived from the recovered channels, never fitted.
seam_id
COSMO-SEAM-006
species
S2 -- rank misfiled (multi-lane depletion read as rank-1 magnitude)
witnesses
witness_A = higher primordial abundance + 3-lane depletion -> plateau
witness_B = lower primordial abundance + no depletion -> same plateau
same report (1.6e-10), distinct complete objects. Seam is real.
channels_A_rho_phi_Pi_Lambda
A: stellar envelope seats per lane
rho: rank 3 (staked), per-lane factor 1.43251
phi: depletion monotone -- phase trivial, recorded as such
Pi: partner = the depleted inventory, seated below the convection zone (a sink, not a deletion)
Lambda: lanes {diffusion, mixing, PMS burning}
recovered_value
exact report ratio 47/16; per-lane factor (47/16)^(1/3) = 1.4325061 under the rank-3 hypothesis
structured_residual
report ratio: residual 0 (exact rational); rank hypothesis: OPEN, no closure claimed
falsifier
lane-blocked stars must show Li at 2.29e-10 (one lane) or 3.28e-10 (two); a flat plateau across all rotation/settling classes kills the rank-3 reading
standing
OPEN -- the seam is real (witnesses stand); the recovery is a staked hypothesis; no dial constant claimed
source_records
BBN: Pitrou et al. 2018; plateau: Sbordone et al. 2010
precision
exact rational for the report; hypothesis lanes symbolic

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