Molecular Geometry as Projection: Water, Proteins, and the Cosmic Distribution of Pre-Biotic Chemistry

We demonstrate that the molecular geometry of water, the backbone dihedral angles of proteins, and the universal chirality of biological amino acids are all direct expressions of SO(6) projection geometry, derivable from two structural constants of the SO(6) Lie group with no free parameters. The H-O-H bond angle of water is predicted by the formula arccos(-1/(rank * p)) = arccos(-1/(3 * sqrt(53/30))) = 104.524 degrees, in agreement with the microwave spectroscopy measurement of 104.52 degrees to within 0.004%, which is within experimental precision. The alpha-helical backbone dihedral angle phi = -60 degrees is exactly -180/rank(SO(6)) = -180/3. The beta-sheet angles phi = -120 degrees and psi = +120 degrees are exactly +/-2 * (180/rank). The universal prevalence of L-amino acids in biology is explained by the positive chirality of the SO(6) geodesic confirmed independently from gravitational wave merger data. We propose that the cosmic distribution of water, amino acids, and other pre-biotic molecules throughout interstellar space, the phenomenon conventionally labeled panspermia, is not evidence of biological seeding but of geometric selection: the Non-Local Projection Shell (NLPS) that constitutes observable 3D space structurally favors molecules whose geometry is coherent with SO(6) winding. Life does not spread through the cosmos. The geometric preconditions for life are written into the projection structure of the cosmos itself.