2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76408This paper makes certain observations regarding some conjectures of Milnor and Ramakrishnan in hyperbolic geometry and algebraic K-theory. As a consequence of our observations, we obtain new results and conjectures regarding the rationality and irrationality of Chern-Simons invariants of hyperbolic 3-manifolds.12 pages. Includes slight corrections to published versionGeometric Topologytext