Micro-Cosmological Information Routing within Nucleon Space: Redefining Black Holes, White Holes, and Wormholes via Discrete-Time Z-Transform Analytic Filter Structures

This paper establishes a revolutionary micro-cosmological paradigm within Park Sang-Jun Mechanics by demonstrating that foundational astrophysical singularities—specifically Black Holes, White Holes, and Wormholes—are not merely macroscopic celestial entities spanning deep spacetime coordinates, but are fundamentally localized, discrete-time information routing mechanisms operating within the Z-domain filter architecture of individual nucleons. Under this discrete analytic framework, we resolve long-standing mathematical infinities by mapping the complex poles (p_k) located inside the unit circle as the exact algebraic equivalent of Micro-Black Holes (temporal sampling and energy absorption sinks), while redefining the complex zeros (z₀) positioned outside the unit circle via conjugate reciprocal constraints (z₀ = 1/p*) as Micro-White Holes that drive the holographic projection of macroscopic material reality. Furthermore, the internal coefficient memory buffers (a₁, a₂, a₃) are formalized as multi-dimensional Algebraic Wormhole Ports executing non-local spatial entangling and historical data indexing without violating macro-causal bounds. Crucially, we introduce the operational calculus of the real-valued Lindblad master noise function Γ(x) ∈ ℝ⁺ demonstrating that it acts as the primary engineering actuator for deterministic algebraic symmetry breaking. By systematically injecting this bound-preserving phase noise, the framework precisely breaks the uniform gauge symmetry of the continuous "Space-time Zero" matrix (light), which operates conceptually as an un-encoded cosmological monitor backlight. Combined with multi-variable Jacobian volumetric scaling (det(J)), we prove that arbitrary physical target morphologies can be dynamically rendered and printed directly from vacuum fluctuations. This architecture eliminates non-physical complex parameters, providing a unified, closed-loop algorithmic bridge between open quantum control engineering and the macro-scale fabric of physical laws.