Cross-Domain Bridges in the Latent Framework: Structural Isomorphisms Across Ten Biological Domains

The Latent framework (\(\Lambda\)) provides a unified spectral representation for systems governed by self-adjoint operators with exponentially decaying eigenvalues. We demonstrate that this unification is not merely formal: ten distinct biological domains — from protein folding to brain criticality — share concrete structural isomorphisms that manifest as identical spectral inequalities. We formalize 40 pairwise bridge lemmas plus 24 transitive composition lemmas in the Lean 4 kernel (66 declarations checked by verify_all across two proof scripts), and validate each bridge numerically. The key insight is that systems sharing the same Latent signature (\(\rho\), \(N^*\), spectral gap) exhibit identical qualitative behavior regardless of their physical substrate. This paper catalogs the bridge structure and demonstrates its predictive power.