A Conjectural Dynamical Framework for the Riemann Zeta Zeros and Anomaly-Induced Spectral Compression in 2D Dirac Systems

We develop a conjectural dynamical framework that connects the distribution of the nontrivial zeros of theRiemann zeta function to a coupled spectral-informational flow inspired by two-dimensional Dirac systemsunder strong magnetic fields. Building on the de Bruijn-Newman deformation, we first review a dynamicalformulation of zeta zeros and their interpretation as a logarithmic gas. We then introduce a coupled flowmodel in which the real part of the zeros and an effective information variable evolve under a commongradient structure derived from an effective free energy functional.Within this framework, we propose four conjectures connecting (i) spectral flow and anomaly-inspiredboundary dynamics, (ii) scale-dependent information compression, (iii) enhanced vacuum energycontributions in the lowest Landau level regime, and (iv) information-energy interpretation. Under theseassumptions, the system admits a closed dynamical description in which spectral deviation and informationcontent are quantitatively linked.The framework is not presented as a proof of the Riemann Hypothesis, but as a structurally consistent modelthat unifies several heuristic correspondences. Possible physical interpretations and indirect experimentalsignatures are briefly discussed.