Momentum Engineering and Dynamic Recovery Architectures: A Unified Framework Derived from MIND Theory and the ABÏON Drive Series

This paper establishes Momentum Engineering as a new engineering discipline and Dynamic Recovery Architectures (DRA) as its primary design paradigm. It is the fifth and closing paper of the ABÏON Drive Theoretical Foundation Series, which collectively derives — from first principles — the complete physical and energetic framework of the ABÏON Drive / KVD (Kinetic Vector Drive) / ICV (Impulsor Cinético Vectorial): a propulsion system that generates thrust through internal momentum transfer without expelling mass. The central argument is that the MIND Theory (Bricio, 2026), originally developed to explain why astronomical objects generate and sustain rotation, contains in its mathematical structure the complete blueprint for a new class of machines. The same parameters governing galactic spin — mass asymmetry ε, gravitomagnetic feedback τfb, inter-subsystem transmission τₜrans, and dissipation η — translate directly into engineering design variables for machines that generate, amplify, transmit, and recover momentum rather than dissipating it. The ABÏON Drive / KVD / ICV is presented as the first functional proof of concept of a DRA, validated numerically against three vehicle classes: urban vehicle (1, 000 kg), heavy transport (20, 000 kg), and crewed spacecraft (50, 000 kg). A fifth corollary — the Mission Ambition Linearity Law — is formally derived and validated: in any KVD / ICV system, the true irreversible energy cost Wᵣeal scales linearly with velocity increment δv and linearly with vehicle mass M, expressed as Wᵣeal = 0. 128 · vₗib · M · δv. This eliminates the exponential Tsiolkovsky penalty of conventional rocket propulsion for all mission profiles. For a crewed spacecraft at δv = 15 km/s, a chemical rocket requires propellant equal to 27× the dry mass; the KVD requires zero propellant and 2, 666 kWh of electrical energy — scaling linearly, not exponentially, with mission ambition. The paper presents the complete DRA framework: formal definition, four-phase cycle (asymmetry loading, liberation/generation, transmission, recovery), the MIND-to-engineering translation table, the master DRA equation ΓDRA = Vₒutput / (1/ηchain − ηᵣecovery) · vₛource, and unified design parameters across all applications. Five corollaries govern KVD / ICV systems. Six open problems formally define the research frontier, spanning thermodynamics (universal Γ bound), control theory (DRA stability criterion), system design (cascaded DRA efficiency), biology (natural DRAs), astrophysics (galaxies as DRAs), and experimental validation. No physical law is violated. The advantage is structural and emerges from operating in the momentum domain, where the asymmetry between p (linear in v) and Eₖ (quadratic in v) can be architecturally exploited without exponential cost. Keywords: Momentum Engineering · Dynamic Recovery Architecture · DRA · MIND Theory · ABÏON Drive · KVD · Kinetic Vector Drive · ICV · Impulsor Cinético Vectorial · inertial amplification · Inertial Amplification Factor · Galilean invariance · OCMA · Open-Cycle Constant-Mass Architecture · Noether theorem · Tsiolkovsky · interplanetary propulsion · frame asymmetry · momentum transfer · regenerative propulsion · Mission Ambition Linearity Law · Corollary 5 Series: Paper 5 of 5 — ABÏON Drive Theoretical Foundation Series Related works in this series: Paper 1: Constant-Energy-Per-Impulse Propulsion in the ABÏON Drive: A Galilean-Invariant Analysis. DOI: 10. 5281/zenodo. 20125345 Paper 2: Fixed-Cost Momentum Transfer in the ABÏON Drive. DOI: 10. 5281/zenodo. 20101267 Paper 3: Frame-Asymmetric Energy Transfer in Rotating Mass Systems. DOI: 10. 5281/zenodo. 20222292 Paper 4: From Constant Impulse Cost to Inertial Amplification. DOI: 10. 5281/zenodo. 20222292 Paper 5: This work. DOI: 10. 5281/zenodo. 20222447 Related MIND Theory publications: MIND Theory: Universal Gravitational Spin Generation from Mass Asymmetry. DOI: 10. 5281/zenodo. 18142680 Mechanism of Galaxy Rotation Coherence from Non-Inertial Frame Dragging in General Relativity. DOI: 10. 5281/zenodo. 18211324v