module module moderate

`IndisputableMonolith.Verification.GWTC3RingdownOneMemberRSStatistic`

Module packaging a one-member Recognition Science amplitude-scale check against GWTC-3 ringdown posteriors for event S190727h. It freezes the RS log-amplitude target at the phi-ladder scale and records mean, median, quantile, residual, and z-score summaries of the posterior on log A. Anyone comparing RS amplitude predictions to LIGO/Virgo ringdown samples would cite it. The content is structural: named constants and derived residuals over the imported HDF5 sample summary, not a multi-step derivation.

claimFor the GWTC-3 ringdown posterior on event S190727h (one-mode pyring sample), fix the RS amplitude-scale target $t = \log(\varphi^{-44})$ and report the posterior mean, std, median, and quantiles of $\log A$, together with residuals $\log A - t$, a $z$-score from the mean, and the posterior mass above $t$.

background

Recognition Science places dimensionless scales on a $\varphi$-ladder. Here the amplitude-scale anchor is the fixed target $\log(\varphi^{-44})$, exposed as a named constant beside the empirical posterior summaries.

The upstream module GWTC3RingdownHDF5SampleSummary is a structural theorem (zero sorry) that records the first posterior-summary statistics range-read from the GWTC-3 ringdown HDF5 member rin/rin_S190727h_pyring_DS_1mode_10M.h5. This module sits one layer above that extract: it does not re-parse the file; it names the RS target and the derived one-member comparison statistics (mean, median, quantiles Q05/Q16/Q84/Q95, residuals from mean and median, $z$ from the mean, and fraction of posterior mass above the target).

The local setting is verification against public gravitational-wave ringdown posteriors, not a derivation of the forcing chain (T0–T8) itself.

proof idea

Definition and constant module over an imported sample summary. The RS target is introduced as a numeric/log-phi constant; posterior mean, std, median, and quantile values are bound to the upstream HDF5-derived figures; residuals, $z$-score, and fraction-above-target are thin arithmetic wrappers around those bindings. No multi-lemma forcing argument lives here.

why it matters in Recognition Science

Gives the verification layer a single, citable one-member RS amplitude-scale statistic for S190727h ringdown, so later multi-event or catalog-level claims can point at a frozen target and residual rather than raw HDF5 fields. Downstream use is not yet wired in-tree (used_by is empty); the module is an endpoint summary for external comparison and for any future GWTC aggregation theorems. It does not touch T5–T8 or the RCL; it only checks whether the observed log-amplitude posterior sits near the stated $\varphi$-ladder anchor.

scope and limits

Does not claim a multi-event or full GWTC-3 catalog result; one HDF5 member only.
Does not re-derive the phi^{-44} amplitude target from the forcing chain.
Does not assert detection significance or model selection against GR templates.
Does not prove calibration, selection effects, or waveform-systematics corrections.
Does not feed a named parent theorem in-tree yet (no used_by edges).

depends on (1)

Lean names referenced from this declaration's body.

IndisputableMonolith.Verification.GWTC3RingdownHDF5SampleSummary module_import

declarations in this module (22)

def rsLogPhiNeg44Target L52
def logAPosteriorMean L53
def logAPosteriorStd L54
def logAPosteriorMedian L55
def logAQ05 L56
def logAQ16 L57
def logAQ84 L58
def logAQ95 L59
def logAResidualFromMean L60
def logAResidualFromMedian L61
def logAZFromMean L62
def logAFractionAboveTarget L63
theorem target_above_q95 L67
theorem target_outside_90_interval L72
theorem target_outside_68_interval L78
theorem z_from_mean_gt_two L84
theorem fraction_above_target_small L89
theorem posterior_summary_available L94
structure GWTC3RingdownOneMemberRSStatisticCert L100
def gwtc3RingdownOneMemberRSStatisticCert L110
theorem gwtc3RingdownOneMemberRSStatisticCert_inhabited L119
theorem gwtc3_ringdown_one_member_rs_statistic_one_statement L124