The CORE Effect Gyroscopic Rigidity as Emergent Geodesic Co-Construction Across 30 Orders of Magnitude

We develop MIND (Momentum in Inertial/Non-inertial Dynamics), a relativistic constitutive framework that connects momentum coherence to the rotational sector of spacetime geometry, grounded in the most extensive empirical validation yet achieved for a dark-matter-free dynamical model. The framework is positioned as a concrete implementation of Mach's principle within General Relativity. Following Sciama's (1953) quantitative formulation, we treat the cosmic gravitational potential ΦU∼c2ΦU∼c2 as the coupling constant between local momentum organization and the global inertial frame. MIND proposes that this coupling is mediated by the gravitomagnetic sector of the stress-energy tensor — specifically, by the constitutive response of the momentum-density source T0iT0i to the coherence of the momentum distribution. The central constitutive chain is: CL→χD(CL)→Πeff→Teff0i→h0i→gtϕ→dynamics+temporal responseCL→χD(CL)→Πeff→Teff0i→h0i→gtϕ→dynamics+temporal response where CLCL is the momentum-coherence field, χDχD is a dimensionless constitutive response, and gtϕgtϕ is the rotational metric coefficient. The same geometry that determines galactic rotation curves simultaneously determines the temporal response — no second constitutive law is permitted. The empirical foundation rests on 187 galaxies from the SPARC catalog and additional well-studied systems, spanning a baryonic mass range from 0.04 to 163×109M⊙163×109M⊙ (a factor of 3,946×3,946×) and encompassing all morphological types from elliptical to irregular. The framework reproduces rotation curves with a mean RMS residual of 7.62±2.747.62±2.74 km/s — an 88.3%88.3% improvement over Newtonian predictions — without invoking dark matter in galactic halos. The MOND acceleration scale a0a0 emerges from first principles as a0=GMbar/Rcoh2a0=GMbar/Rcoh2 with zero free parameters at the framework level, where RcohRcoh is the momentum-coherence length determined by the measured galactic structure. Four scaling laws are discovered, and the momentum-density threshold η0η0 obeys a universal spin-geometry coupling law across 60 orders of magnitude. A key prediction is gravitomagnetic time dilation between disk and halo stars of ∼80∼80 m/s — a signature predicted to be zero by both ΛΛCDM and MOND, and testable with Gaia DR4 and SDSS-V within the next 2–3 years. This prediction follows directly from the coherent frame-dragging of the galactic disk, which is absent in the halo where stellar angular momenta cancel. The framework is falsifiable at multiple independent levels: radius-controlled constitutive tests, cross-galaxy generalization, null and shuffle tests, blind out-of-sample prediction, direct geometric reconstruction, and independent temporal prediction. The complete Q7 validation architecture is presented, with results from the 187-galaxy foundation and the protocol for the decisive temporal test. MIND is not an alternative to General Relativity. It is a constitutive extension of its momentum-density sector, incorporating Mach's principle through the gravitomagnetic coupling between local momentum organization and the cosmic inertial frame. Keywords: Momentum coherence; MIND; Mach's principle; General Relativity; gravitomagnetism; frame dragging; galactic rotation curves; dark matter alternative; MOND; falsifiable prediction