Hamiltonian Collision Cosmology: Universes as Decohered Sectors

This paper presents a dynamical cosmology in which physical laws emerge from collisions between inequivalent Hamiltonians. Using decoherence, a Fisher‑metric on coupling space, and a nonlinear relaxation equation, the framework shows how inflation drives couplings toward stable fixed points and selects the observed gauge structure. The model predicts a universal coupling scale \((Δ g)^2 = lnφ\), a bispectrum signature \(F(k)∝ k^{-φ⁻⁷}\), and identifies \(3+1\) dimensions as the unique stability point of Hamiltonian space.