Conscious Geometry Theory and the Unsolved Problems of Science and Mathematics: A Systematic Assessment

Systematic examination of every major unsolved problem in mathematics and science through the lens of Conscious Geometry Theory (CGT). For each problem: what CGT already provides, what direction CGT indicates, what would constitute a genuine contribution versus a speculative analogy, and what work remains. Problems are ranked into three tiers: Tier 1 — Direct Engagement (12 problems where CGT has existing mathematical machinery, including Yang-Mills mass gap, turbulence, hierarchy problem, and consciousness hard problem); Tier 2 — Indicated Direction (11 problems where CGT's framework points toward an approach but significant work remains); Tier 3 — Suggestive Connections (6 problems where the connection is currently weak). Includes honest assessment of which connections are genuine versus aspirational.