THE TRI‑ANTAGONIST GAIT SYSTEM A Structural‑Mechanical and Robotics Framework for Human Locomotion - LaFountaine Structural Correction (2026)

This work presents the full Master Canon of the Tri‑Antagonist Gait System, a unified structural‑mechanical, anatomical, mathematical, and robotics‑ready framework for human locomotion. It defines gait not as a sequence of joint angles, but as a four‑operator structural system—D (Preload), C (Axis), B (Constraint), and A (Propulsion)—governed by torque mechanics, topology, and deterministic transition rules. The canon integrates posture and gait through a complete operator‑layer transition map (Dₚ→D, Cₚ→C, Bₚ→B, Aₚ→A), establishing a reproducible architecture for movement initiation, stability, and expression.The contents include:• A full structural‑mechanical model of human locomotion• Complete torque mathematics (τ_D, τ_C, τ_B, τ_A) and total torque equation• Constraint inequality governing safe limb trajectory (τ_B ≥ τ_A(over))• COM stability equation linking preload and axis torque to collapse risk• Full anatomical chain mapping (deep, rotational, posterior, anterior)• Complete postural operator system (Dₚ, Cₚ, Bₚ, Aₚ)• Deterministic failure cascades and correction priorities• Full transition topology connecting posture to gait• Robotics and actuator‑level mappings for engineering implementation• Dual‑layer SOAP systems (clinical + structural‑mechanical)• Complete ISL Master Canon Capsule in strict JSON format• Visual topologies for structural, mechanical, and mathematical layers• Physics of preload, axis stability, constraint mechanics, and propulsion• Canon rules, boundaries, and reproducibility conditions• Series information and metadata for archival continuityTogether, these components form a closed, internally consistent scientific canon describing the structural, mechanical, mathematical, and robotic foundations of human locomotion. The work is designed for clinical application, engineering design, robotics development, scientific reproducibility, and long‑term archival within the LaFountaine Structural Correction™ series.