Gokul's Orthogonal Law of Information Symmetry: Fundamental Law of Replication and Coherence Separation without Loss of Information and Correlation

Gokul’s Orthogonal Law of Information Symmetry defines the geometric conditions under which information can replicate without loss of magnitude or correlation. When linear information expands through quadratic stepwise growth, it naturally forms two orthogonal directions — one for additive replication and one for coherent preservation. At their intersections, total information remains constant, ensuring perfect structural balance. This orthogonal organization provides a deterministic mechanism for information conservation: replication arises through 90 degree rotation, not duplication, maintaining complete coherence and correlation. The law establishes orthogonal replication as the universal geometric basis of perfect information preservation across all scales.