Mohr's Circle Dynamics in Discrete Spacetime: The Geometric Origin of Relativistic Jets and Hyper-Vortex

Standard astrophysical models often rely on complex magnetic field topologies to explain the manifestation of relativistic jets and the accretion funnels of active galactic nuclei, treating them as phenomena decoupled from the intrinsic geometry of gravity. This paper applies the principles of continuum mechanics, specifically Mohr's Stress Tensor, to a fundamentally discrete informational spacetime grid characterized by the Anadihilo resolution limit of i = 10^-4. By evaluating the framework's parameters of inward radial Grid Tension (F_HV) and the discrete rendering latency defined as Orbital Blur (χ = 1.18), we identify the mandatory presence of transverse shear stress in rotational systems. Key Mathematical Findings (Derived independent of empirical curve-fitting): The Geometric Origin of Relativistic Jets: The tensor sum of these discrete forces mathematically generates an outward-directed negative principal stress (σ_2 = -0.1356 F_HV). This establishes a purely geometric and mechanical origin for relativistic jets, acting as a structural rebound rather than a magnetic byproduct. The True Fracture Force: The maximum inward stress exerted on the informational grid is calculated at 1.1356 F_HV, triggering a Global Systemic Overwrite (GSO) at the stability wall. The Hyper-Vortex Funnel Angle: The tensor yields a maximum shear plane angle of θ_s ≈ 64.06°, deterministically predicting the precise geometric boundary of the hyper-vortex funnel where incoming data structures experience maximum transverse shear. These results indicate that jet ejections and funnel formations are inevitable mechanical failure states of a discrete spacetime lattice undergoing informational saturation, completely negating the necessity for auxiliary magnetic field constraints. Author: Nitin Dagar, Independent Researcher ORCID: 0009-0000-6328-968X Data Repository: anadihilo.org Related Anadihilo Foundation Papers: Anadihilo Dynamics: A Discrete Grid-Based Resolution to the N-Body Singularity Problem (DOI: 10.5281/zenodo.18604313) Informational Normalization in Discrete Grids (DOI: 10.5281/zenodo.18791090)