Universe OS: A Unified Numerical Simulation Framework for Cross-Scale Physics and Conservation-Law Enforcement

Abstract

Universe OS is an open-source, high-performance numerical simulation framework designed to bridge the gap between microscopic particle interactions and macroscopic field evolution. Addressing traditional computational challenges such as numerical instability and energy dissipation, the framework introduces a self-consistent mathematical system centered on a five-dimensional unified evolution operator. This system integrates spatial fields, energy, time, and mass transport into a single computational loop, ensuring absolute energy conservation through heat account tracking (E_{\text{heat}}) and reality correction mechanisms (Z_{\text{proxy}}). The framework's core application, a 2D advection-diffusion solver, supports adaptive time steps (CFL condition) and high-order boundary conditions, making it suitable for complex simulations in fluid mechanics, astrophysics, and quantum dynamics. By abstracting microscopic behaviors into simplified conservative operators via Monte Carlo sampling, Universe OS provides a scalable solution for interdisciplinary research, transforming computational science from fragmented solving to unified conservation simulation.