Precision timing of relativistic binary pulsars (e.g. Hulse-Taylor) generally shows orbital period decay matching GR's quadrupole gravitational-wave formula. A few systems show small residuals or environmental dependencies once kinematic and Galactic accelerations are modeled out (Weisberg & Huang 2016; Freire & Wex 2010; Damour & Esposito-Farèse 1998). Connecting tiny excesses to dark energy, local expansion, or modified gravity sits uneasily alongside tight GR confirmations.
The standard model expects local pulsar dynamics to be cleanly described by GR plus standard Galactic-acceleration corrections, with no role for cosmological Λ or dark-sector physics. Persistent small residuals across multiple binary-pulsar systems force the model to invoke unmodeled astrophysical effects or to extend GR locally, both of which are uncomfortable given GR's overall accuracy.
SCT replaces the hot-dense-center with a superluminal collision and the thermalized debris field. From this single change, binary pulsar orbital decay residuals are predicted hereditary-time + mesh-dissipation signatures at the binary-pulsar local scale. Each pulsar inherits time-rate corrections from its parent gravitational hierarchy (P10): the binary's internal clock rate includes the cumulative product of SR time-dilation factors and gravitational potentials from the binary frame upward through the Galactic and Local Group hierarchy.
Mesh dissipation (P14, P15, P16) at the binary-pulsar local scale adds slow secular orbital decay beyond the standard GR quadrupole prediction. Gravitational superposition (P50, P51, P52) gives local Φ_mesh contribution from the surrounding Galactic stellar mesh that modifies the binary's gravitational dynamics at the small-residual level. Predicted residuals are at the cm/yr level over decade baselines, consistent with the observed mild departures from pure-GR expectations.
The same M5 framework that resolves the lunar recession paradox at solar scale (recid 63), the planetary radar ranging residuals (recid 62), and the broader hereditary-time-plus-mesh-dissipation signatures across nested gravitational frames accounts for binary pulsar residuals. There is no need to extend GR or to invoke unmodeled astrophysical effects; the residuals are the predicted signature of nested-frame physics applied at the binary-pulsar scale.
If precision NICER + SKA pulsar-timing surveys find binary-pulsar orbital decay matching the pure-GR quadrupole prediction at the 0.1% level after improved Galactic-acceleration modeling (no mesh-dissipation contribution above the noise floor), the M5 hereditary-time + mesh-dissipation explanation is refuted. The signature SCT prediction is the residual amplitude scaling with the binary's gravitational embedding depth.