Refined Prime Density via Zero Optimization

This paper proposes the Refined Prime Density (RPD) standard as a structural and spectral refinement of the classical estimate π(x)/x ≈1/log x. Building on residual structure theory, we define the modal collapse function ϕ(x) and residual field δ(x), and conjecture a bounded residual |δ(x)|<C/log x. This defines a more precise and stable model for prime number density through optimized zero-based corrections.