The Structure Lacuna

Abstract: Molecular symmetry is intimately connected with the classical concept ofthree-dimensional molecular structure. In a non-classical theory of wave-like interactionin four-dimensional space-time, both of these concepts and traditional quantum mechanicslose their operational meaning, unless suitably modified. A required reformulation shouldemphasize the importance of four-dimensional effects like spin and the symmetry effects ofspace-time curvature that could lead to a fundamentally different understanding of molecularsymmetry and structure in terms of elementary number theory. Isolated single moleculeshave no characteristic shape and macro-biomolecules only develop robust three-dimensionalstructure in hydrophobic response to aqueous cellular media.