Tralse Informationalism (TI Sigma) — Complete Research Archive, April 2026

Complete research archive for the Tralse Informationalism (TI Sigma) research program as of its official founding date, April 1, 2026. TI Sigma holds that information is the primary substance of reality, that truth has five irreducible values (TRUE / TRALSE+ / TRALSE / TRALSE− / FALSE), and that consciousness has four measurable dimensions: Goodness (G=√2−1≈0.42), Intuition (I=0.25), Love (L≈0.18), Environment (E=0.15) — the GILE framework. Archive contents: TI Sigma Founding Charter (official founding document, April 1, 2026) Complete URB Master Catalog (578 Unified Research Blocks) ν₂ Countdown Theorem — formally verified Collatz result (Lean 4, 11 theorems, 0 gaps) arXiv LaTeX submission for the Collatz paper GILE Framework papers (URBs #573–578) Beyond Bayes: Domain-Calibrated Intuitive Inference (philosophy paper) DPES — Default Philosophical Eating Strategy (meta-cognitive protocol) Lean 4 source files: CollatzNu2.lean, Collatz.lean, + Millennium formalizations Complete Lean 4 audit report All mathematical results are formally verified or clearly labeled as experimental. All code is Apache 2.0. All papers are CC BY 4.0.