NSk--Mechanics Mechanics as an Emergent Limit of Transport Dynamics

This module establishes the minimal mechanical apparatus of the NSk/ψ program. The starting point is not classical Newtonian mechanics but first-order transport dynamics: the evolution of a state distribution at a fixed scale. Mechanical motion is defined as the motion of the barycenter of this distribution, from which the full kinematic apparatus is constructed: effective position, velocity, acceleration, momentum, and kinetic energy. In the CORE layer, the relation F=ma is not postulated as an axiom but recovered through an explicit inertia-recovery gate (InertiaRecoveryGate-A) based on relaxation of the transport stream. The V1 relaxation result takes the form m·a + Γv = F; introducing the net force Fₙet = F − Γv yields the module's final result m·a = Fₙet with zero defect in the ForceAccelerationGate. Contractual bridges to the Gravity, Newton, and Einstein modules are included.