IRIS Framework: Emergent Lorentzian Spacetime from Information Theory

This Zenodo release documents IRIS, an exploratory information-theoretic framework in which Lorentzian spacetime signature emerges as a low-cost configuration of a universal information functional I[ρ] defined on non-commutative spectral algebras. Numerical minimization (N=60, seed=42) indicates that Lorentzian configurations achieve a lower informational cost (ΔI ≈ 33.29) than Euclidean signatures under E₈-inspired topological frustration (r=8, k=9). Key results include: • E8 structural coupling chi = 240 / 128 = 1.875 yields an effective acceleration scale a_IRIS = 1.17e-10 m/s^2, consistent with the MOND acceleration scale. • A lattice saturation law of the form rho(r) = rho_vac * (1 + r_Sch / r) reproduces the baryonic Tully–Fisher relation without additional tuning. • Predicts a redshift-dependent velocity scaling for fixed baryonic mass, with V at z = 2 approximately equal to 1.51 times V at z = 0, testable with JWST-era rotation curve data. • Effective dark sector partitioning with dark matter approximately 26.50 percent and dark energy approximately 67.8 percent, consistent with Planck 2018 constraints within uncertainties. • A bulk-flux filtration mechanism is proposed that may contribute to resolving the cosmological lithium discrepancy. • The master equation χx(z)=ln(x(z)/ε(z)) couples lattice relaxation to cosmic expansion, motivating a predictive and internally consistent non-equilibrium gravitational framework within IRIS. Contents:• Fully reproducible Python code (spectral minimization N=60; spectral dimension up to L=12)• 4D hypercubic lattice analysis with E₈-inspired frustration• Numerical validation and sensitivity analysis (±10% flux variation) Methodology: Human–AI collaboration in which the human author provided conceptual architecture and physical interpretation, while AI assisted formalization and numerical implementation under supervision. Status: Speculative research artifact; not peer reviewed. The core numerical result is reproducible; broader theoretical implications remain conjectural. This version supersedes previous iterations or deposit by providing the galactic hydrodynamic exploration. Falsifiability: The framework is falsified by (i) absence of ultra-light axion-like signatures (2.5–3.5×10⁻²¹ eV), (ii) strictly constant w=−1w=-1w=−1 dark energy, (iii) detection of a fourth fermion generation, or (iv) failure of the predicted velocity scaling V(z=2)/V(0)≈1.51V(z=2)/V(0) \approx 1.51V(z=2)/V(0)≈1.51. License: CC BY 4.0