Molecular Wormhole Chemistry: Electronic Non-Locality Induced by Wormhole-Like Geometries in Conjugated Molecular Systems

Abstract

In this work, I present the concept of molecular wormhole chemistry, a new theoretical framework where electronic non-locality emerges in conjugated molecular systems due to geometries analogous to spacetime wormholes. By combining the tight-binding Hamiltonian with Green’s function formalism, I derive equations that describe how electrons may bypass conventional geometric pathways and instead follow topological shortcuts. I also introduce a new index that quantifies wormhole-induced non-locality in molecular systems. This approach offers a rigorous mathematical resolution to the question of how geometry and topology can control quantum behavior in molecules. I argue that conjugated π-systems are capable of hosting such wormhole-like connections, opening a new direction in quantum chemistry and topological molecular design.