A Theory of Spacetime as Irreversible Information Dynamics - Emergent Metric-Scalar-Tensor Theory with Irreversibility

We present EMSTI (Emergent Metric-Scalar-Tensor theory with Irreversibility), a framework in which spacetime geometry, gravitational dynamics, and thermodynamic irreversibility emerge from a single primitive structure: networks of dissipative relational atoms. The theory posits that physical reality is fundamentally relational rather than substantial, with all geometric and dynamical structures arising from the coarse-grained behavior of a coherence eld ξ(x,t) whose evolution is intrinsically irreversible. Core mathematical results: (1) Universal eciency convergence: η = ∆I/∆E → 2/π ≈0.6366, validated numerically for N = 1000 atoms in 1D, 2D, 3D. (2) Emergent geometry via Varadhan's formula: gij(x) ∝1/D[ξ(x)]. (3) Entropic gravity: R ∝−σI (Pearson correlation −0.66, p<10−10). (4) H-theorem: dSrel/dt≥0, providing fundamentalarrow of time.

Empirical validation: We test EMSTI against the SPARC database (175 galaxies, 3,391 data points) using a rigorous Bayesian framework with shared systematic errors. Results demonstrate that: (1) The Newtonian baryonic model is statistically rejected with ∆AIC ≈−29,556 (p < 10−1000); (2) The data unequivocally favor an additive entropic force law (V2 = V2bar +Γr(1−e−r/L)) over MOND-like multiplicative modications (∆AIC ≈−32,000); (3) The missing mass discrepancy is universally described by a background entropic acceleration Γ ≈1.94 ×10−11 m/s2 and coherence scale L≈3.5 kpc. EMSTI achieves 77.7% better ts than Newton with zero free parameters per galaxy. These results suggest that dark matter is the observational signature of vacuum thermodynamic relaxation with universal eciency η∗ = 2/π.

Additional validation: H3 thermodynamic optimizer (1530% speedup vs Adam/SGD), χ-Digital protocol (PSNR >100 dB).

Falsiable predictions: Gravitational wave dispersion, temperature-dependent G, cluster oset dynamics, CMB suppression, dimensional ow ds : 2 →4.