On the Engineering Infeasibility of WormholeTheory:The Topological Deadlock within Closed Manifolds

Abstract Contemporary theoretical physics frequently regards wormholes as potential shortcuts for interstellar travel, yet such hypotheses often remain detached from engineering boundaries and thermodynamic constraints. Grounded in classical mechanics, thermodynamic limits, and cosmological principles, this paper systematically evaluates the feasibility of both natural and artificial wormholes. The analysis reveals three critical deadlocks: (1) Within a closed manifold system, utilizing internal energy to fold space violates the local covariant conservation of energy-momentum, as internal forces cannot produce net displacement; (2) The Cosmological Principle and current sky survey data strongly constrain the statistical possibility and observational evidence of macroscopic natural wormholes; (3) The continuous negative energy density required to maintain a macroscopic wormhole violates the Averaged Null Energy Condition (ANEC) and vastly exceeds the limits permitted by Quantum Field Theory. Consequently, this paper argues that wormhole theory currently lacks an operable engineering pathway. It calls upon the scientific community to redirect academic resources toward localized topological phase transitions and feasible interstellar propulsion physics. Keywords Wormhole Theory; General Relativity; Energy-Momentum Conservation; Cosmological Principle; Averaged Null Energy Condition (ANEC); Quantum Field Theory; Engineering Feasibility