A Hexagonal Close-Packed Lattice Model of Galactic Rotation Curves via the Markov Anisotropic Viscosity Tensor without Dark Matter

This paper presents a novel discrete-mechanical framework for modeling spiral galaxy kinematics within a rigid three-dimensional Hexagonal Close-Packed (3HCP) space matrix. By replacing continuous spacetime manifolds with a discrete structural lattice of invariant coordination number Z = 12, we derive macroscopic hydrodynamic observables from underlying finite-difference coordinate relations. We define the dynamic structural clearance gap - the dynamic electro-leeway tensor Luv - governed by the exact local balance between internal expansion and external hydrostatic compaction. Through a multi-variable Taylor series expansion, we establish a definitive mathematical bridge proving that this discrete 3HCP difference scheme rigorously converges onto the classical continuous Cauchy stress matrix and Navier-Stokes equations as the lattice spacing approaches the continuum threshold (h -> 0). Crucially, under extreme structural compression within the galactic equatorial plane, the directional components of the dynamic leeway collapse (Lxx, Lyy -> 0), driving the horizontal entries of the derived Markov Anisotropic Viscosity Tensor Huvab asymptotically toward infinity. This structural lockup paralyzes lateral degrees of freedom, forcing the baryonic disk to rotate as a highly synchronized, rigid turbine plate. This mechanism naturally generates a permanent, non-decaying orbital velocity flat plateau at macroscopic distances. The model completely resolves the flat rotation curve problem of spiral galaxies purely from first-principles discrete lattice physics, bypassing the requirement for speculative dark matter halos or empirical modifications of Newtonian acceleration. Creative Commons Attribution Non Commercial No Derivatives 4.0 International