Addressing Mathematical Rigor in the Open General Intelligence Framework: A Critical Analysis and Formal Implementation v2

Adds empirical simulation results. Theorem 1 (Lipschitz stability) verified across 7,000 context pairs, zero bound violations. Lemma 4.2 (temporal stability) confirmed across 200 cycles at five noise levels (σ = 0.0–1.0). Three multi-modal coherence experiments conducted to establish empirical scope of Lemma 4.1,  synthetic simulation insufficient; VQA benchmarks identified as required future work. Equation notation standardized to ASCII for PDF rendering compatibility.