The π-Indexed Riemann Oscillatory Network: A New Subquantum Informational Mechanics Framework for Cosmological Anomalies and Fundamental Physics

We present New Subquantum Informational Mechanics (NMSI), a comprehensive theoretical framework proposing that information—not matter or energy—constitutes the fundamental substrate of physical reality. The framework introduces the Riemann Oscillatory Network (RON), comprising N ≈ 10¹² nodes corresponding to non-trivial zeros of the Riemann zeta function ζ(s), serving as the computational substrate underlying observable physics.Central to NMSI is the π-indexing mechanism, wherein blocks of decimal digits from π provide deterministic addresses into RON. We derive the architectural threshold L* = 2·log₁₀(N) = 24, demonstrating that for block lengths L > 24, collision frequencies undergo structural transition from statistical independence to correlated behavior. This threshold emerges not as an arbitrary choice but as a mathematical necessity dictated by finite register addressing in RON.The framework introduces the DZO-OPF-RON triad as the minimal irreducible architecture for coherent physical systems: the Dynamic Zero Operator (DZO) provides dynamic regulation maintaining balance condition G[Ψ*] = 0, the Operational Phase Funnel (OPF) implements geometric mode selection via Gabriel Horn topology with aperture A(x) = A₀/x², and RON supplies the finite oscillatory substrate. We prove via six-case exhaustive analysis that elimination of any component leads either to persistent chaos or trivial collapse.Physical implementations include: CMB low-ℓ anomalies as OPF transition signatures at ℓc ≈ 24, where spectral entropy H(ℓ) exhibits regime change; BAO drift as DZO cyclic regulation with amplitude ε ≈ 1% tied to cosmic cycle parameter Z ∈ [−20, +20]; and early JWST high-redshift galaxies at z > 10 as structures inherited from previous cosmic cycles through baryon recycling mechanism at turnaround Z = −20.The tornado vortex serves as a terrestrial laboratory for validating the predicted constraint accumulation integral J(rc) = 55.26 ± 10 nats at the coherence transition radius, where J(r) = ∫ |∂Ω/∂r|/Ωref dr measures accumulated geometric constraint. Three coherence indicators I₁ (turbulence intensity), I₂ (normalized shear), and Ω (enstrophy) simultaneously satisfy threshold criteria at rc, providing direct experimental access to OPF-DZO dynamics.We provide twelve falsifiable predictions testable during 2025–2035 using DESI, JWST, LISA, CMB-S4, and Einstein Telescope, with explicit numerical thresholds and statistical confidence levels. Three computational tests using publicly available π digits (10¹² available) and CMB data (Planck 2018) are executable immediately: (1) CMB spectral entropy transition at ℓc = 24 ± 5, (2) π-block χ² transition at L = 24 ± 2, (3) π-ζ GUE correlation emergence for L ≥ 26. The framework challenges ΛCDM cosmology not through modification but through fundamental replacement, offering coherent alternatives to dark matter, dark energy, and the Big Bang singularity through cyclic informational dynamics.