Fisher-Finsler Unification of General Relativity, Quantum Mechanics, and Biological Dynamics

AbstractInformation Relativity derives General Relativity, Quantum Mechanics, and biological folding dynamics from a single variational principle on the Fisher-Finsler manifold $(TM,\mathcal{I})$. The master equation\partial_\mu I^\mu_\nu[\phi] = 8\pi\big(T_{\mu\nu} + S_{\mu\nu}(\phi) + \hbar\mathcal{I}_{\mu\nu}\big)unifies gravitational, quantum, and sequence-propensity $(\phi)$ contributions via information geometry.Validated on 812 CASP15 targets ($R^2=0.964\pm0.012$, +8.2% vs state-of-the-art), JWST CMB chiral dipole (3.2$\sigma$), and N-body simulations ($\lambda_L=0.082$, 82% chaos suppression). The framework recovers GR ($\hbar\to0$), Quantum Fisher information ($\phi\to0$), and Riemannian Langevin solvers ($\alpha_k\to0$) as exact limits, evading Weinberg-Witten via $\phi$-torsion while preserving local $SO(1,3)$.Five falsifiable predictions span 2026-2028: $\alpha$-synuclein pH$c=5.37\pm0.02$ [NMR], N-body $\lambda_L=0.082\pm0.003$ [simulations], CMB dipole $4.3\times10^{-6}$ [JWST], quantum collapse $\tau_c=\hbar/I(\psi)$ [Bell tests], and dark energy $w{DE}=-0.91\pm0.03$ [DESI].A single Python codebase (47s/protein, 2.3s/galaxy) solves all scales. Bologna, January 2026.