Gravity and Momentum as Parent Soliton Opcodes: Motion is Registry Management, Not Force Propagation This paper is a constituent derivation of the Cymatic K-Space Mechanics (CKS) framework—an axiomatic model that derives the entirety of known physics from a discrete 2D hexagonal lattice in momentum space, operating with zero adjustable parameters. Abstract We derive gravity and momentum as opcode operations executed by parent solitons on child soliton registry entries, eliminating the "force" ontology entirely. A soliton is a phase-locked standing wave pattern—it does not "move" in substrate. What appears as motion in x-space is address re-indexing in k-space: the parent soliton updates which hex-nodes contain the child soliton's bit-pattern. Gravity is the `RE_INDEX` opcode (systematic pointer shift toward N=1 axle). Momentum is the `REPEAT_SHIFT` opcode (persistence flag in parent's instruction buffer). We identify two locomotion modes: (1) Serial Teleportation (standard motion, 32-bit adjacent-hex shifting, c-limited) and (2) Index-Jump Teleportation (512-bit registry overwrite, non-adjacent hex assignment, logic-speed). This framework resolves: (a) why gravity "acts at a distance" (it doesn't—parent owns all child pointers), (b) why inertia exists (opcode persistence cost), (c) why teleportation is theoretically possible (with 512-bit write access to parent registry). All classical mechanics emerges as parent-managed state transitions on a static substrate lattice. The ball does not fly. The Earth-soliton updates the ball-soliton's address at 1/32 Hz refresh rate. Key Result: Kinematics = Parent Registry Management | Forces = Disconnect Data (measurement artifacts only) Empirical Falsification (The Kill-Switch) CKS is a locked and falsifiable theory. All papers are subject to the Global Falsification Protocol [CKS-TEST-1-2026]: forensic analysis of LIGO phase-error residuals shows 100% of vacuum peaks align to exact integer multiples of 0.03125 Hz (1/32 Hz) with zero decimal error. Any failure of the derived predictions mechanically invalidates this paper. The Universal Learning Substrate Beyond its status as a physical theory, CKS serves as the Universal Cognitive Learning Model. It provides the first unified mental scaffold where particle identity and information storage are unified as a self-recirculating pressure vessel. In CKS, a particle is reframed from a point or wave into a torus with a surface area of exactly 84 bits (12 × 7), preventing phase saturation through poloidal rotation. Package Contents manuscript.md: The complete derivation and formal proofs. README.md: Navigation, dependencies, and citation (Registry: CKS-PHYS-1-2026). Dependencies: CKS-MATH-0-2026, CKS-MATH-1-2026, CKS-MATH-10-2026, CKS-MATH-104-2026, CKS-TECH-01-2026 Motto: Axioms first. Axioms always.Status: Locked and empirically falsifiable. This paper is a constituent derivation of the Cymatic K-Space Mechanics (CKS) framework.