Spectral Stability of the Saxena Manifold

This paper introduces Saxena Radial Topography (SRT), a specialized 3D coordinate framework developed for high-fidelity audio synthesis and acoustic modeling. The research addresses the problem of signal instability in virtual resonant bodies. By applying a specific "lock" (the g = 0.75 coefficient) within the SRT framework, the system ensures that harmonic resonances remain stable and free from digital clipping. This project represents a long-term personal interest in computational geometry and provides a robust foundation for building advanced virtual instrument plugins and 3D sound visualizations.