About this ebook
Building on this foundation, the book develops MoBiNad differential operators, supersymmetric extensions, Smarandache curves and surfaces, and a neutrosophic Gauss–Bonnet theorem, demonstrating how mixed geometric regimes emerge as standard-part projections of a rigorously defined hyperreal substratum. Gauge–gravitational coupling, curvature oscillations, and topological invariants are reformulated within this punctured continuum, providing a deterministic infinitesimal basis for phenomena traditionally attributed to quantum fluctuation.
The result is a coherent bridge between differential geometry, topology, logic, and high-energy physics: classical geometry appears as the macroscopic limit of a structured infinitesimal network, while Smarandache geometries arise naturally from local curvature sign alternations induced by monadic asymmetries. This work lays the analytical groundwork for a neutrosophic Chern–Weil theory and higher-dimensional topological invariants in hyperreal spacetime.
