Natural Topologies and Engineered Solutions for Momentum-Coherent Warp Conditions

We establish a structural connection between two independently derived helicoidal geometries: the Keplerian Helicoid — the power-law surface z ∝ θ·r^(3/2) traced by planetary orbits in the galactic frame — and the ABÏON Metric — the family of warp metrics derived from organized momentum T⁰ⁱ. Both belong to the generalized helicoidal family parametrized by the pitch exponent β, with the Keplerian construction at β = 3/2 (from Kepler's third law) and the current ABÏON design at β = 0 (constant pitch). The correspondence is structural: both exhibit helical geometry, dual-component architecture (angular momentum reservoir + field amplifier), and conversion of rotational frame-dragging h₀φ into axial spacetime displacement h₀z through their helical pitch. The key architectural difference — co-rotation (planetary systems) versus counter-rotation (ABÏON) — is the difference between a stable ecliptic and a warp engine. We demonstrate that the ABÏON topology resolves eight fundamental problems that have historically blocked the realization of warp metrics: negative energy (resolved by sourcing the metric from T⁰ⁱ rather than T⁰⁰), destructive gravitomagnetic fields (resolved by Coulomb gauge, analogous to the Aharonov-Bohm effect), metric instability (resolved by counter-rotation), environmental interference, the Tsiolkovsky limit, medium dependence, nonlinear energy scaling, and the lack of experimental validation (anchored to Gravity Probe B and the Tajmar anomaly). We identify five natural astrophysical topologies that satisfy the geometric conditions for warp-favorable momentum organization: the Solar System (π/n₀ ~ 10⁻⁹, sub-threshold), ultra-hot Jupiter systems with WASP-18b as the first exoplanetary system confirmed above the MIND coherence threshold (π/n₀ = 12.91, f_coh = 0.9999), pulsar planetary systems (PSR B1257+12, near 3:2 resonance), binary neutron stars (PSR J0737-3039, π/n₀ ~ 10⁴), and precessing black-hole jets (AGN and TDEs, π/n₀ ~ 10¹⁴). WASP-18b exhibits anomalously slow orbital decay — observed since 2009 and unexplained by tidal models — consistent with frame-dragging stabilization predicted by the MIND framework. We further demonstrate that the ABÏON architecture naturally resolves ten fundamental challenges of interstellar transit — charged particle radiation, gamma rays, neutrinos, dust and micrometeoroids, blue-shift accumulation, time dilation, deceleration, structural stability, navigation, and communication — as inherent consequences of its geometry and operating principles. Eight of ten challenges are resolved without dedicated subsystems: the same superconducting toroids that generate h₀φ deflect charged particles; the same hyperboloidal hull that concentrates the metric perturbation absorbs gamma rays; and in the warp regime (h₀φ → 1), the metric perturbation itself redirects photon geodesics around the habitat. Finally, we present a momentum-first reinterpretation of wormhole physics. The negative energy requirement of Morris-Thorne traversable wormholes arises from the same methodological error as the Alcubierre metric: the exclusion of organized momentum (T⁰ⁱ = 0) from the source. The ABÏON throat geometry — with T⁰⁰ = ρc² > 0 everywhere — satisfies all energy conditions by construction, because the conditions are properties of the source (ordinary rotating matter), not of the metric solution. The Cosmic Ladder from the Solar System to Atlas Cores is connected by a continuous function of five engineering parameters, with no discontinuity, no new physics, and no phase transition separating perturbative frame-dragging from engineered warp. Keywords Keplerian Helicoid; ABÏON Metric; natural topologies; warp metrics; momentum coherence; frame-dragging; gravitomagnetism; WASP-18b; hot Jupiter orbital decay; binary pulsars; AGN jets; tidal disruption events; MIND framework; negative energy problem; Alcubierre metric; Morris-Thorne wormhole; momentum-first; energy conditions; radiation protection; interstellar challenges; Cosmic Ladder; organized momentum; stress-energy tensor; Lense-Thirring; Gravity Probe B; Tajmar anomaly; Cooper pairs; falsifiable predictions