An Algorithmic Matrix Engine for Non-Linear Multi-Body Regularization and Far-Field Micro-Lensing Simulations

This repository contains the interactive Python deployment and functional open-access specifications for the KCTAN-GEMINI Matrix Engine (Simulation Variant V6.2). The codebase provides an discrete array-driven computational method for multi-body trajectory stability, bypassing traditional continuous differential calculus limitations through localized matrix compensation layers. The package includes two core elements: 1. An interactive simulator script (kctan_3sun_equilibrium.py=kctan_3sun_matrix.txt) showcasing real-time feedback loops and Tier-11 hardware-level data concatenation to neutralize numerical runaways. 2. A comprehensive engineering specification outlining the observational mechanics of extreme proximity stellar matrices, explicitly detailing the "Einstein Cross Far-Field Illusion" where multi-body dynamics collapse optically into stable point sources over deep cosmic lines. This open-access framework serves as an educational and research baseline for physicists and developers looking to model discrete mathematical boundary controls over chaotic systems without relying on legacy singularity abstractions.