Why Don't the Planets Spiral Into the Sun? The CORE Effect: How Organized Angular Momentum Holds the Cosmos Together Across Thirty Orders of Magnitude

In 1805, Laplace noticed something that should have stopped physics in its tracks: if gravity propagates at a finite speed, the planets should spiral into the Sun within ~10⁵ years. The Solar System is 4.6 billion years old. The naive retarded-force picture fails catastrophically. The standard answer — that velocity-dependent terms in General Relativity "cancel the aberration" (Carlip 2000) — is mathematically correct but physically empty: it tells us the aberration disappears, not why, not how, and not what maintains the coherence of the system over cosmic timescales. This paper proposes the missing physical mechanism: the CORE Effect (Cosmic Organized Rigidity Effect). The Solar System is not a Sun and eight planets. It is a single gravitomagnetic structure whose collective angular momentum is rigidly coupled to the cosmic frame. The same mechanism operates identically from a laboratory gyroscope (10⁻² m) to a spiral galaxy (10²¹ m) to the cosmological horizon (10²⁶ m) — across thirty orders of magnitude, with zero free parameters. The mechanism is built from four steps, each grounded in established physics: (1) local frame-dragging (Lense-Thirring, confirmed by Gravity Probe B); (2) cosmic inertial amplification by η=c2r/GMη=c2r/GM, ranging from 10⁷ to 10²⁵; (3) geodesic co-construction (constructive interference in the rotation plane, destructive off-plane); (4) precipitation to a preferred plane. No modification of the Einstein field equations is introduced. The framework delivers quantitative, parameter-free results: • Solar System rigidity: k=1.64×1033k=1.64×1033 N·m/rad, Tprec=1,908Tprec=1,908 years.• Ecliptic attractor: 1.61° computed vs. 1.58° observed — agreement to 0.03°.• Aberration cancellation: τCORE/τaber∼108τCORE/τaber∼108 for the Solar System, ∼103∼103 for a galaxy. Without amplification, the Solar System would require 10111011 years to converge — it is 4.6 billion years old. The observed stability of the ecliptic requires the CORE Effect.• Galactic rigidity: k=4.81×1052k=4.81×1052 N·m/rad, Tprec=10.5Tprec=10.5 Myr, explaining why galactic disks are extraordinarily thin.• Flat rotation curves without dark matter: the product η×ΩLTη×ΩLT grows with radius, providing centripetal support that compensates the Keplerian decline.• MOND scale from first principles: a0=cH0/2π=1.08×10−10a0=cH0/2π=1.08×10−10 m/s², matching the empirical value to within 10%. The paper makes ten falsifiable predictions, including a gravitomagnetic time dilation of ~80 m/s between disk and halo stars (testable with Gaia DR4), a resonance spectrum in rotating disks, parametric amplification in superconducting rotors, and a decisive experiment — the CRT Vacuum Bubble — in which the cosmic coupling is blocked and gravity is mathematically shown to disappear inside. The derivation does not require the bubble to be physically constructed: it follows from the geodesic equations in the bilateral expansion metric. A Cavendish torsion balance inside the bubble would not rotate. The CORE Effect does not replace General Relativity. It completes it: it identifies the physical mechanism behind a cancellation that has been accepted as a mathematical theorem for twenty-five years, and it extends that mechanism into a testable hierarchy from the laboratory to the cosmological horizon. One mechanism. Thirty orders of magnitude. Zero free parameters. Ten falsifiable predictions. The universe is not a passive stage. It is an active participant in the dynamics of every rotating body — from a child's gyroscope to the Milky Way itself.