2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52782We introduce a new concept, `(topological) (vacuum) parallel world, ' which is a new tool to research submanifolds. Roughly speaking, `Observables in (T)QFT' is equal to `a (topological) modification of space-time.' In other words, we give a new interpretation of observables. We give some examples associated with the Alexander polynomial, the Jones polynomial.6pagesHigh Energy Physics - Theory'Topological parallel world' constructed by modification of space-time along observablestext