From the Playground Swing to Andromeda

A child on a playground swing discovers, without equations, the principle that underlies this entire work: each push adds the same momentum, but produces more energy than the last — because the swing is already moving faster. The equation governing this observation, dK = v·dp, is a direct consequence of Galilean invariance. From this single relation, the present work develops a continuous chain: from mechanical energy amplification (ABÏON Prime) through propulsion without mass expenditure (ABÏON Drive) to the organized gravitomagnetic modification of spacetime geometry (ABÏON Warp). The playground swing and the space-time metric are connected by the same physics — the architecture of momentum transfer. The distance between them is not a gap in the laws of nature; it is a sequence of engineering stairs. This work presents a unified framework — Momentonics — that connects a child's swing to the engineering of spacetime geometry, through a single physical principle: the architectural organization of momentum. Beginning with the observation that kinetic energy gained per unit of momentum transferred depends on the dynamic state of the receiver (dK = v·dp, the Momentonic Effect), the framework develops a complete chain from mechanical energy generation (ABÏON Prime) through propulsion without mass expenditure (ABÏON Drive) to the modification of spacetime geometry through organized gravitomagnetic fields (ABÏON Warp). The central quantitative result is the Momentonic Scaling Relation (MSR), established through over 12,000 independent numerical simulations within the Micro-Macro Momentum-Gravitomagnetic Model (MMGM): the collective gravitomagnetic field of an N-body system scales as |B_g| ∝ N^α(f), where α(f) ≈ ½ + 0.31f and f is the fraction of coherently organized momentum. Ring-topology configurations universally achieve α = 1.000 regardless of orientation or eccentricity — a result verified across eleven spatial geometries and validated through the complete relativistic chain T_μν → h_μν → Γ → R_αβγδ → gauge-invariant observables. Adversarial falsification and multipole recovery tests confirm that all observed effects are contained within standard General Relativity at sufficient spatial resolution, establishing the MSR as a micro-to-macro bridge within established physics. The framework does not introduce new gravitational laws; it applies existing laws to a question that existing disciplinary boundaries made invisible: how does the microscopic organization of momentum determine the collective gravitomagnetic geometry of matter? The engineering implications are presented through a physically consistent configuration — counter-rotating graphene superconductor toroids — that reaches the Alcubierre gravitomagnetic threshold without violating any known physical law. The Alcubierre approach requires negative energy density (T⁰⁰ < 0, exotic matter). The Momentonic approach uses organized momentum density (T⁰ⁱ, ordinary matter). General Relativity does not privilege one over the other; both are components of the same tensor. The choice is engineering, not physics.