Measuring Redshift From Tides Alone: The Tidal Siren Method Quantified

This paper asks a single question and computes its answer. The tidal deformability of a neutron star depends on its rest-frame mass, so a measured detector-frame mass plus a tidal measurement yields a redshift with no counterpart; what precision follows from stated tidal measurement errors? Working in a flat LambdaCDM background and carrying the bounce-frame density ceiling explicitly — the Aldred Limit, rho_A = rho_Pl (m/m_Pl)^2/(8 pi C), with the neutron branch at 9.72e+54 g per cubic centimetre — the calculation gives the headline values w05 = 0.28, w015 = 0.10, med = 0.30, rhoA = 9.72e+54. At present-day tidal precisions the redshift interval is broad, of order the redshift itself; at the fifteen per cent tidal precision expected from third-generation detectors the interval narrows to a cosmologically useful width. The median stays centred on the input redshift, so the method is unbiased in this model. Every number reported here comes from the deposited computation script, which states its assumptions in full. This study is simulated and computed from stated assumptions and published catalogue values; it is not a measurement.