Topologically Discretized Constellations in the Lorenz-Hala System

We report the discovery of a discrete manifold emerging from the Successive Controlled Collapse (SCC) of the Hala Attractor. By applying a state-dependent damping operator γ to a chaotic flow, we demonstrate the transformation of a continuous strange attractor into a stable constellation of 150 non-overlapping fixed points. Notably, the use of γ-ramping reveals a ”cyan cluster” of transient ghost fixed points near (6.56, 5.56, 27), which are normally suppressed in autonomous dynamics. The high-precision separation (≈ 1.7 × 10−9) and the repetitive nature of this manifold suggest a deterministic mechanism for converting analog entropy into quantized, addressable phase-space states.