Information-Copying Cosmology: A Programmatic Framework for Emergent Spacetime, Fields, and Quantum Mechanics

We propose a unified framework in which spacetime, matter fields, and quantum mechanics emerge from a discrete microscopic process: local copying of a simplicial complex with stochastic defects. We demonstrate that: (i) exponential growth of vertices yields Hubble expansion H = D₀/3, (ii) the cosmological constant emerges as Λ = D₀²/(3c²) without fine-tuning, (iii) the Schrödinger equation arises in the continuum limit under diffusive scaling, (iv) the Born rule and Lindblad decoherence follow from stochastic phase averaging. The model predicts a distinct deviation from ΛCDM expansion: H(z) ~ (1+z)3/2 at $z>2$, at the 5–10% level, testable by DESI and Euclid.