Published December 16, 2025 | Version 2.0
Preprint Open

Beyond the 9D Bundle A Control Theoretic Re-framing Technical Companion

  • 1. Gaia Nexus

Contributors

  • 1. Gaia Nexus

Description

This Technical Companion presents a computational implementation of the Geometric Control Hypothesis.  A triadic coherence architecture enforced through torsion dynamics on an SU(2) lattice. We define three coupled scalar channels (curvature A, torsion magnitude B, and alignment C) and a triadic imbalance measure Δ_tri that quantifies their deviation from balance. The core innovation is the Torsion Control Network (TCN), a four channel regulator implementing damping, diffusion, gradient feedback, and geometric projection to stabilize torsion directions. We detail the complete lattice action, gradient computations, and update algorithms, and report numerical experiments across 1-, 2-, 4-, and 6 dimensional lattices. Results demonstrate reliable reduction of triadic imbalance (Δ_tri → 0) and convergence to coherent states, validating the architecture as a stable, tractable framework for enforcing multi channel balance in distributed systems.  The framework establishes sufficiency of the proposed architecture for coherence enforcement without claiming uniqueness, and specifies falsifiable predictions accessible to synthetic quantum and classical experimental platforms.

Files

Beyond the 9D Bundle A Control Theoretic Re-framing Technical Companion v2.pdf

Additional details

Related works

Continues
Preprint: 10.5281/zenodo.17835451 (DOI)
Is referenced by
Preprint: 10.5281/zenodo.17255277 (DOI)
Preprint: 10.5281/zenodo.17347859 (DOI)

Dates

Issued
2025-12-16
Publication date