Chandu's Stability Constant: The Universal Breaking Point (𝓡 = 0.025) and the Architecture of Non-Singular Physics

This work introduces Chandu’s Stability Constant (𝓡 = 0.025), a universal dimensionless bound governing the maximum tolerable fractional deviation before a physical system loses structural identity and transitions to instability or chaos. Unlike Newtonian gravity, which prescribes motion without deriving intrinsic stability, this framework proves that persistence itself is constrained by a sharp, scale-invariant inequality. The stability constant is shown to be exactly twice the minimum transition constant (𝓓 = 0.0125), establishing a binary architecture of existence: the smallest step that permits form and the maximum deviation it can tolerate. Empirical convergence is demonstrated across ten independent physical domains, including orbital mechanics, fluid turbulence, quantum decoherence, wave instability, solid-state yield, thermodynamic phase transitions, biological homeostasis, information theory, structural mechanics, and relativistic gravity. In all cases, instability consistently emerges at the same fractional threshold (~0.025). The framework replaces mathematical singularities with finite stability saturation, providing a non-singular interpretation of gravitational collapse and resolving a fundamental limitation of classical force-based theories. A direct falsification experiment is proposed via a predicted zero-fuel stability corridor near the Earth-Moon L2 point, which classical mechanics classifies as unstable. Persistence or failure of this orbit provides an empirical test of the theory. This preprint is self-contained and builds upon previously published Harmonic Trigonometric Field Theory and Chandu’s Law of Form.