August 20, 2026Open Access
The Jester Axiom & The Bridge Axiom (Unified Compendium & Interactive Field Visualizer)
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Implication
Computational modeling study demonstrates systemic stability and state transition dynamics in singular-center architectures, highlighting operator-driven collapse prevention.
Key Points
- Formulate a dual-axiom theoretical framework and interactive 3D visualizer to model systemic stability, stress dissipation, and non-destructive transitions in singular-center systems.
- Formalized the Jester Operator to dissipate structural rigidity and the Bridge Operator to preserve continuity and identity invariants during state transitions.
- Developed a 3D WebGL engine using Three.js to render an 18,000-particle field across four topological geometries, including toroidal fields and hyperbolic manifolds.
- Simulated the Jester Operator as an oscillatory perturbation wave governed by an exponential decay function to dissipate accumulated systemic stress without structural collapse.
- Modeled non-destructive state re-alignment via the Bridge Operator by accelerating nodal orbital velocities to 2.5-fold and tracking dynamic entropy and stability metrics in real time.
Cite This Study
Matthew Arthur Carlo (2026) studied this question.