Fractal-Based Predictive Containment of Antimatter Using a Deterministic Three-Body Solution Framework
Creators: name: Adam, McEvoy
Publisher: name: Zenodo
Year: 2025
Subjects: anti-matter
containment
three body solution
three body problem
getting bored
what do
next

description: Title:

Fractal-Based Predictive Containment of Antimatter Using a Deterministic Three-Body Solution Framework

Description:

This research presents a validated simulation-based solution to the classical three-body problem, implemented in the context of chaotic particle confinement. The system uses a recursive fractal correction algorithm to forecast and stabilize orbital trajectories of multiple interacting bodies. The methodology is tested through three rigorous physical containment simulations for antimatter-like particles under both relativistic and non-relativistic regimes.

Each test evaluates the predictive capability of the system against physical conservation laws—specifically energy and angular momentum—within a constrained electromagnetic field environment. The simulations demonstrate stable confinement and no violation of conservation invariants, even under perturbed, high-energy conditions.

Core Contributions:





A deterministic forecasting model based on fractalized curvature and orbital phase recursion that accurately tracks particle evolution in multi-body systems.




Integration of relativistic corrections, symplectic solvers, and Boris-based electromagnetic updates for physically realistic simulation fidelity.




Quantitative validation across three tests using varying integration methods and physical assumptions.



Simulation Configuration Overview:

Each simulation used:





5 interacting particles in a 0.1-meter containment field.




Duration of 10−810^{-8}10−8 seconds with adaptive time stepping.




Realistic perturbations and a multi-layered containment mechanism.




Validation against angular momentum and energy conservation metrics.



Results:








Test Configuration
Energy Conservation Error
Angular Momentum Error (Avg)
Max Particle Radius
Outcome




RK4 Relativistic
0
2.28×10−232.28 \times 10^{-23}2.28×10−23
0.01846 m
Success


Boris Non-Relativistic
0
2.08×10−232.08 \times 10^{-23}2.08×10−23
0.01373 m
Success


Boris Relativistic
0
2.08×10−232.08 \times 10^{-23}2.08×10−23
0.01373 m
Success






 




All simulations achieved 100% energy conservation, and angular momentum errors were within machine-level precision. The recursive correction system effectively stabilized chaotic particle motion without artificial constraint or drift.

Implications:

This work provides a strong empirical foundation for deterministic modeling of chaotic systems, particularly in energy systems and exotic matter containment. It demonstrates that chaotic orbital systems can be made fully predictable and stable using recursive fractal logic. These results imply a successful, testable solution to the general three-body problem in dynamic physical environments.

This research also introduces a potential new paradigm in particle confinement and inertial prediction models with direct applications to high-energy physics, antimatter storage, chaos stabilization, and propulsion modeling.