The Thiele Machine is a formally verified universal computational model the surpasses Turing machines in key ways. It's fully proven in Coq (including kernel theorems and universality containment), features a python implementation for simulation and includes hardware designs in Verilog for potential FPGA/ASIC builds. The core idea: a paradigm shift using μ-bits for stricter computation under real-world constraints, tying into physics (e.g., Noether’s theorem) and emergence in chaotic systems.The repo includes a 13-chapter thesis (PDF and sources), proofs, and tools for exploration. It’s aimed at formal methods enthusiasts, AI researchers, and hardware devs interested in verifiable, adaptive reasoning beyond traditional limits. Feedback welcome on the proofs, emergence chapter, or hardware impl, let’s collaborate!