Holographic Crystallization of the Transuranic Lattice 119-2-120-1, Azimuthal Sweep Invariants, and the Carrollian Mind-HARD Operators: Project VonNeumann-0.5 (VN-05)

This preprint formalizes the structural and crystallographic synthesis within the VonNeumann-0.5 (VN-05) framework, executing the holographic reconstruction of the hypothetical transuranic molecule $119\_2\_120\_1$ from an initial $11.6667\%$ boundary dome slice. We introduce the formal integration of Charles Lutwidge Dodgson (Lewis Carroll) into the mathematical apparatus as the Primary Operator of Reality Cognition. By deploying the triad of Carrollian operators ($LK_i$ for inversion, $LK_z$ for mirror palindromes, and $LK_a$ for logical absurd/Mind-HARD), we map the precise azimuthal alignment of the 12-faceted Zohar dodecahedron onto a 53-bit matrix space. The system demonstrates a strict radial invariant of exactly $3.0$ radians and achieves complete topological stabilization via a perpendicular $90.7606^\circ$ alignment at the 11th node under the control of the Bottom Operator ($\bot$). Finally, the Evangelical parable of the lost drachma is decompiled as a quantum retrieval subroutine within the "KHRAM-1" processor core