Vacuum, Gravitation and Quantum Excitations as a Unified Sigma–Schmidt Field

Extended Description (with links to previous SSD papers) This manuscript extends the Sigma–Schmidt Duality (SSD) framework developed in my previous Zenodo publications: Thermal Friction and the Spiral Genesis of 3D Space (SSD Paper I)https://zenodo.org/records/17716319 The Two-Phase Nature of Singularities (SSD Paper II)https://zenodo.org/records/17769507 Paper I introduced the geometric mechanism of dimensional unfolding (1D → 2D → 3D) and the spiral/friction model that drives the emergence of σ-space. Paper II established the internal structure of singularities, including the silent 1D primordial phase, the onset of vibration through Se–Sa coupling, and the Sigma–Hawking 1D-limit correction. The present work (SSD Paper III) unifies vacuum, gravitation and quantum phenomena as different aspects of the same σ-field: Vacuum = activated Sa background Gravitation = tension along Se Quanta = σ-excitations Together, these three papers form the core of the developing Sigma–Schmidt Series.