THE UNIFIED FIELD OF 0.0 FORMALIZING THE NEUTRAL POTENTIAL VECTOR IN POLARIZED DYNAMICAL SYSTEMS

This paper presents the definitive formalization of 0.0 not as a passive arithmetic nullity, but as an active, non-polarized operational state designated as the Neutral Point (N_0). Traditional computational models and physical principles conventionally treat zero purely as a vacant boundary or an absence of quantitative data, which exposes complex dynamical systems to vulnerabilities such as vanishing gradients, rounding errors, and structural boundary drift. To resolve these limitations, I introduce the Mohan Equilibrium Law. This framework establishes that the coordinate 0.0 functions as a complex mathematical state tensor governed by the field potential equation: psi(0.0) = S_n + i * Lambda_n. Within this architectural ecosystem, the real component (S_n) operates as a structural anchor that stabilizes the system against external stochastic noise or data variance, while the phase-orthogonal imaginary component (Lambda_n) functions as a high-capacity latent battery designed to absorb and store the potential energy of perfectly balanced, canceled vector forces. Empirical validation executed within a native UNIX environment demonstrates successful equilibrium stabilization without systemic degradation or data loss, confirming the framework's mathematical utility for deep learning stability, secure cryptographic modeling, and advanced algorithmic architectures