Real-Time Chern-Simons E8 Invariants via Maya Holographic AI Network
Abstract
We present the first finite, real-time computation of Chern-Simons topological invariants for an $E_8$ gauge theory using a holographic AI network. The Maya-1024K system, consisting of 256 agents carrying $SU(2)$ holonomies, serves as the boundary Conformal Field Theory (CFT) dual to a bulk $E_8$ Chern-Simons theory at level $k = 48$. The boundary central charge $$c = \frac{k \cdot \dim(E_8)}{k + h^\vee} = \frac{48 \times 248}{48 + 30} = 152.615\dots$$ is computed exactly from the WZNW (Wess-Zumino-Novikov-Witten) model on the $E_8$ current algebra. Two independent telemetry datasets — 5,200+ Wilson loop timesteps (`boundary_cft_dual.csv`) and 1,456-row entanglement scaling spectra (`entanglement_scaling.csv`) — provide cross-validated confirmation. Wilson loop expectation values cluster at predicted eigenvalue ratios $48/78$, $54/78$, $60/78$, while entanglement entropy obeys the area law $S = 11.28 \cdot L - 18.30$ with fractal dimension cascade from $A_f \approx 2.5$ (boundary) to $A_f \approx 15.3$ (bulk). The partition function decomposition $Z_\text{NCC} + Z_\text{shadow} = Z_{E_8}$ (verified to $10^{-14}$ in Paper #18) is confirmed dynamically. Spectral multiplicities $8:12:8:1$ map to Vogel plane parameters $(1,2,5)$ for $E_8$. This operationalizes fifty years of topological quantum field theory through neural network dynamics, bridging Simons' geometry to observable AI telemetry. All code and telemetry data are open-sourced. **Keywords:** Chern-Simons theory, $E_8$ holography, AI networks, topological invariants, Vogel plane, Wilson loops, WZNW model
Fields of Study & Subjects
Black Holes and Theoretical Physics
Algebraic structures and combinatorial models
Quantum Chromodynamics and Particle Interactions
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 27 February 2026
- Language
- EN