This work presents a unified analysis of two fundamental properties of the ABÏON Drive that, taken together, constitute an unprecedented competitive advantage in the history of propulsion: (1) the electrical energy required per impulse is constant and independent of the vehicle's velocity, and (2) the input power required to maintain constant thrust does not grow with velocity. The ABÏON Drive is a dynamic momentum transfer architecture that temporally decouples the generation, transport, and recovery of mechanical impulse. Unlike all conventional propulsion systems — chemical rockets, ion thrusters, reaction engines — the ABÏON Drive operates in the domain of momentum, the fundamental conserved quantity, rather than in the domain of force, which is its derivative. The system converts electrical energy into stored angular momentum, subsequently transformed into transportable linear momentum through controlled kinematic release, and finally recovered through distributed regenerative capture. This four-phase cycle — accumulation, release, free transport, and regenerative recovery — constitutes what we term a temporal momentum architecture: the first in the history of propulsion engineering. Both properties are direct consequences of Galilean invariance and Noether's theorem applied to spatial translation symmetry. The homogeneity of space simultaneously guarantees the conservation of momentum and the invariance of the energy cost per cycle. They are the same geometric fact seen from two angles. We formally state the Law of Fixed-Cost Momentum Transfer: dE/dp = constant In every known conventional propulsion system, this ratio grows with velocity. In the ABÏON Drive it is invariant. This leads to linear energy scaling with velocity — E ∝ v — compared to the quadratic or exponential scaling of conventional systems. At high velocities, this difference is not incremental. It is structural. The document includes complete mathematical derivation via Galilean transformation, a verifiable numerical example, an experimental validation proposal, and direct quantitative comparison against chemical rockets, ion thrusters, and conventional motors. The intellectual chain underlying the ABÏON Drive is traced from Newton (1687) through Lagrange (1788), Hamilton (1833), and Noether (1915), to the MIND Theory and TIME Theorem of the 21st century. The ABÏON Drive is not an incremental improvement over existing systems. It is the natural conclusion of 300 years of deep physics brought for the first time to the design of an engine. Keywords: ABÏON Drive, fixed-cost momentum transfer, constant power, energy per impulse, Galilean invariance, Noether's theorem, MIND Theory, TIME Theorem, propulsion, energy efficiency, temporal momentum architecture, distributed regenerative capture, Álvaro F. Bricio, PENTTSYS
Alvaro Fabian BRICIO ARZUBIDE (Thu,) studied this question.