Planck‑Vortex Theory (PVT-V03)

The Planck–Vortex Theory (PVT-V03) is a discrete, operator‑based physical framework that models spacetime, matter, fields, and curvature through Planck‑scale vortex configurations. Version 03 presents a refined and extended formulation of the theory, integrating geometric, dynamical, spectral, topological, and field‑theoretic structures into a unified multiscale architecture. PVT replaces the classical continuum with a discrete configuration space governed by fundamental operators. These operators define vortex geometry, stability classes, spectral hierarchies, interaction rules, field emergence, and network formation. The theory provides mathematically consistent correspondences to Quantum Mechanics (QM), General Relativity (GR), and String Theory, embedding their structural cores without internal contradictions. Version 03 includes a fully consolidated mathematical foundation, an expanded operator framework, improved stability proofs, and a comprehensive treatment of physical vortex objects, higher‑order vortices, clusters, matter vortices, and field structures. It also introduces a systematic correspondence layer connecting PVT to established physical theories, enabling a unified interpretation of quantum, relativistic, and string‑theoretic phenomena. The extended predictions section provides theoretical, structural, and experimental signatures of the PVT, including spectral, resonance, propagation, field, topological, macroscopic, and cosmological predictions. Known data domains and indirect measurability pathways are discussed to support future experimental evaluation. Version 03 concludes with a formal consistency analysis, a unified QM–ART correspondence, and a structured summary of future research directions.