IRIS Framework: Emergent Lorentzian Spacetime from Information-Theoretic Lattice Dynamics

Overview IRIS (Information-Resonant Inertial Substrate) is a structural research framework exploring the hypothesis that 4D Lorentzian spacetime emerges as a stable, non-equilibrium attractor of a discrete, higher-dimensional E8 lattice. By treating the vacuum as a Topological Semimetal (TSM), this framework unifies gravity, inertia, and cosmological expansion as lattice relaxation phenomena. Unlike previous iterations, which treated dimensionless physical constants as consistency relations, IRIS proposes a first-principles framework for exploring these constants through topological filtering mechanisms, linking geometric structure to potential particle spectra and coupling hierarchies. Key Empirical Results This version introduces a thermodynamic resolution to the Hubble tension and the S8 clustering anomaly without introducing free parameters. By modeling a phase transition from a viscous "Stokes" regime (z > 2) to a "Superfluid" state (z < 2), IRIS predicts: Hubble Constant (H₀): 73.01 km/s/Mpc (close agreement with local measurements). Fine-Structure Constant (α): Numerically reconstructed from structural E8 ratios at high precision. Galaxy Maturity: A mechanism for early galaxy formation via viscous "Stokes catalysis" of the substrate. Unified Information-Theoretic Structure of Constants IRIS explores whether certain dimensionless constants may arise from structural constraints of the underlying discrete substrate rather than from arbitrary parameter selection. Through geometric projection and resonance conditions, the framework investigates possible connections between: topological filtering, lattice stability criteria, and emergent particle and coupling hierarchies. These correspondences remain exploratory and do not constitute a rigorous derivation in the formal mathematical sense, but they provide structured hypotheses for further investigation. The Tri-Phase Nature of the Substrate The Lattice (Structural)A discrete E8 foundation providing structural constraints on emergent constants. The Topological Semimetal (Quantum)A Weyl-semimetal phase where the speed of light emerges analogously to a Fermi velocity. The Stokes Fluid (Cosmological)A macroscopic viscous regime potentially contributing to galactic rotation curves and cosmological expansion dynamics. Falsifiable Predictions Vacuum Resonance: A fundamental signature near 1.112 THz (linked to structural scaling arguments). Velocity Scaling: A predicted ratio V(z=2)/V(z=0) ≈ 1.51 associated with the proposed phase transition. Numerical Attractor: Computational evidence suggesting a Lorentzian signature minimum at N = 60. Open Science & Reproducibility IRIS is an open, AI-assisted research artifact. This deposit includes the Python/PyTorch numerical procedures used to explore informational preferences for Lorentzian spacetime and related structural constraints. Broader theoretical implications remain conjectural. The framework is speculative, exploratory, and not peer reviewed. This version supersedes previous deposits and represents the most technically consolidated synthesis to date. License: CC BY 4.0