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Author

S. Kalimuthu

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Open access Aug 2026

Mathematical Validation of Kalimuthu's Configurations as Degenerate Spherical Manifolds

We provide a rigorous differential-geometric analysis of two spherical configurations proposed by Sennimalai Kalimuthu, where the sum of interior angles of a figure formed by three geodesics on a unit sphere S² attains 360° (2π) and 540° (3π). While such figures satisfy the global Gauss-Bonnet theorem Σθi = π + Area (T...

S. Kalimuthu · 0 citations
Review Open access Aug 2026

The Comprehensive Architecture of Quantum Gravity: A Unified Mathematical and Conceptual Synthesis

The unification of quantum mechanics and general relativity remains an open problem. This paper provides a structured conceptual synthesis of arguments motivating quantum gravity. We first review heuristic motivations: (i) the tension between quantum superposition and a classical gravitational field, (ii) dimensional a...

S. Kalimuthu · 0 citations

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