This paper examines the requirement of admissible continuation for any claimed mass transfer mechanism. While wormholes are permitted as mathematical structures within relativistic frameworks, their physical realisation requires continuous admissibility across all stages of transfer, including entry, transition, and re-emergence within an observable domain. Mass transfer is treated as a continuous process requiring constraint preservation and defined state transitions at every step. A valid transfer mechanism must maintain admissibility throughout, with no stage bypassing constraint. No observed system demonstrates mass entering a black hole and re-emerging elsewhere, nor a stable, continuous transfer pathway satisfying admissibility conditions. The absence of a verified continuation chain prevents wormholes from being considered physically realised systems. The paper establishes a constraint-based limitation distinguishing mathematical allowance from admissible persistence, positioning wormholes as mathematically valid but physically unverified structures.
Andrew John Paton (Sun,) studied this question.