Unified Operator Framework for Torsion, Horizons, and Spectral Thermodynamics: A Single Eigenstructure Model for Closure Defect, Boundary Collapse, and Irreversibility

Position Statement All results are internal symmetry constructions derived from weighted and covariant operators on finite cyclic lattices. No continuum manifold assumptions, Einstein field equations, kinetic theory, or thermodynamic axioms are invoked. Torsion, horizon behavior, and entropy production are shown to arise as distinct projections of a single generalized lattice operator. Abstract A generalized operator (\mathcal{L}) is defined on a cyclic lattice embedded in Z12, incorporating (1) a discrete connection (torsion), (2) radial boundary weighting (horizon behavior), and (3) non-Hermitian real-part spectrum (dissipation). Eigenvalues of the unified operator determine dispersion, closure defect, traversal divergence, and entropy production within a single algebraic framework. Torsion corresponds to commutator asymmetry in covariant transport; horizons correspond to vanishing radial transport weights; thermodynamic irreversibility corresponds to nonzero real parts of eigenvalues. These effects are shown to be structurally compatible and mutually reinforcing within the same eigenstructure.