Constrained Classical Trajectories with Fixed Symplectic Area

We study finite bundles of $N$ classical trajectories subject to a fixed symplectic-area condition on their phase-space covariance.

We derive constraint forces that preserve this condition with zero bundle-averaged power.

Setting $\kappa = \hbar^2/4$ fixes only the area scale: the trajectories remain classical, and the finite bundle need not be Gaussian.

In the Gaussian large-$N$ limit, the centroid and width equations coincide with those of variational Gaussian wave-packet dynamics.

Here $N$ specifies the finite-bundle representation, not an order in the Moyal expansion or in an $\hbar$ expansion.