Topological Mechanics of Chemical Bonds: A Geometric Hypothesis of Covalent Synchronization in a Constrained 3+1+2 Manifold
Description
Mainstream quantum mechanics and physical chemistry have traditionally approached decoherence and chemical reactions primarily through the lens of energy scalars. Extending our previous geometric hypothesis of quantum entanglement, this paper explores a constrained 3+1+2 multitemporal manifold to reinterpret covalent bonds as the macroscopic topological synchronization of 2D transverse torsional friction. Through this geometric model, we conceptually separate the macroscopic stability provided by 1D phase-anchors (atomic nuclei) from the friction-canceling mechanism of 2D entanglement (valence electrons). By formulating an exploratory geometric equation for topological dissociation energy (E_D) and performing a reverse-calibration against effective nuclear charge (Z_eff) and non-linear extrinsic curvature (K), we achieve a consistent zero-point alignment (~32,000) across different bond orders. This baseline alignment suggests that the proposed geometric equations hold meaningful internal consistency within the multitemporal hypothesis, offering a coherent conceptual pathway to interpret macroscopic chemical bonding through multidimensional constraints.