Dark Matter and Dark Energy from 5+5+1 Dimensional Geometry: The 27:68 Split Derived from First Principles

We derive the dark matter and dark energy fractions from first principles in the 5+5+1 dimensional framework. Dark matter (27%) emerges as the Logo-B field—the magnetic component of the L-tensor bleeding into spacetime. Dark energy (68%) emerges as Logo-matter—distributed matter in logochrono pulling spacetime from the dimensional boundary. The 27:68 split follows from geometric coupling: |L|² = 1 - e⁻³ combined with golden ratio geometry yields θ = arctan(φ), producing the observed fractions with