VTT–Orbital Genesis: The Electron as a Residual Geometry of Informational Curvature

In standard quantum mechanics, the electron is treated as a fundamental particle whose wavefunction describes a spatial probability distribution. While this formalism provides extremely accurate predictions, the conceptual relationship between orbital geometry, particle localization, and wave–particle duality remains interpretatively open. In this work, we propose a geometric reinterpretation within the framework of Viscous Time Theory (VTT). In this view, atomic orbitals arise as stabilized basins of informational curvature within a viscous informational manifold, and the electron emerges as the undissipated residual of this geometric formation. By introducing the Informational Hessian as the curvature tensor associated with coherence deviation ΔC, orbital stability can be formulated as a positive-definite curvature condition over the informational manifold. Within this framework, electron mass is reinterpreted as an integrated curvature excess associated with stabilized orbital geometry. This approach provides: (i) a geometric interpretation of wave–particle duality as periodic coherence recall, (ii) a reinterpretation of excited states as metastable curvature attractors, and (iii) a potential structural mechanism for residual mass generation within stabilized informational structures. The proposed framework is presented as a constructive extension compatible with Schrödinger dynamics. Rather than replacing the standard formalism, we suggest the existence of a deeper geometric layer whose implications invite further mathematical and physical investigation.