Universal Binary Principal v5.3 — Viral Protein Interaction Modeling
This tool applies the Universal Binary Principal (UBP) to model viral protein interactions using 24-bit Golay codewords mapped to the Leech Lattice (Λ₂₄). Each protein is represented as a unique geometric fingerprint derived from real physicochemical data, enabling rapid prediction of binding affinities, variant fitness, and therapeutic efficacy.
Omicron (BA.1) exhibits a significantly lower Leech Symmetry Tax (3.1174) compared to WT (4.6761), mathematically predicting its enhanced evolutionary fitness — confirmed by clinical data.
The Tilt Angle from Universal North decreased dramatically from WT (136.5°) → Delta (67.0°) → Omicron (29.9°), a novel UBP prediction of evolutionary geometric alignment.
Each protein is encoded as a 24-bit Golay codeword derived from real physicochemical data. Click any protein to see its full geometric fingerprint.
Select two proteins to compute their UBP interaction: XOR product, Gap Score, and binding affinity prediction.
| Protein A | Protein B | Hamming d | Gap Score | NRCI | Binding Class |
|---|
| Antibody | Antigen | Hamming d | Gap Score | UBP Affinity | Predicted IC50 | Clinical IC50 | Validation |
|---|
Clinical inflammatory markers (IL-6, TNF, Ferritin, CRP) are encoded as state vectors. The transition from mild to storm represents a Hamming distance shift of 12 bits. Therapeutic interventions are modeled as Tax-reduction operations.
Total system energy computed by the TGIC Exact Engine for all biologically relevant 2-node interactions. Lower energy = more favorable geometric binding.
The Universal Binary Principal (UBP) is a mathematical framework developed by Euan Craig (New Zealand) that models all physical and informational systems as pure geometric constructs within the 24-dimensional Leech Lattice (Λ₂₄).
The core insight is that the Leech Lattice — the densest known sphere packing in 24 dimensions — provides a natural "substrate" for encoding any entity as a 24-bit binary string (a Golay codeword). Interactions between entities are computed as XOR operations, and the resulting "Symmetry Tax" quantifies the energetic cost of maintaining the interaction.
This virology study demonstrates that by encoding real physicochemical properties (molecular weight, isoelectric point, secondary structure, hydrophobicity) into 24-bit vectors, the UBP can predict complex biological behaviors — including viral variant fitness, antibody binding affinities, and therapeutic intervention efficacy — without any molecular dynamics simulation.