Exclusive Observational Predictions of Renormalizable Quantum Gravity Based on Coupling Between Global Unified Wave Field and Spacetime Background Field

Current fundamental physics faces long-standing theoretical bottlenecks: the non-renormalizability of gravitational quantization, the intrinsic incompatibility between general relativity and quantum field theory, the spacetime singularity problem in extreme gravity regimes, and the absence of self-consistent early-universe dynamical descriptions. The standard ΛCDM cosmology relies on artificially introduced dark matter and dark energy components without direct empirical evidence, and exhibits systematic inconsistencies in explaining galaxy rotation curves, cluster merging anomalies, CMB large-scale spectral anomalies, and high-redshift supermassive black hole formation. Alternative mainstream frameworks, including string theory, loop quantum gravity, modified Newtonian dynamics (MOND), and f(R) gravity, suffer from inherent limitations: string theory requires unconfirmed extra-dimensional compactification and provides no testable low-energy observables; loop quantum gravity discretizes spacetime and breaks Lorentz covariance; phenomenological modified gravity models lack complete quantum field-theoretic renormalization structures and cannot be extended to Planck-scale physics. This work serves as a sequential extension of our previously published foundational research with formal DOI registration. Without introducing new physical assumptions or modifying the original Lagrangian structure and field equations established in the precursor paper, this paper systematically develops a full set of quantitative, observationally testable, and uniquely distinguishable physical predictions. The theory maintains four-dimensional continuous Lorentzian spacetime and strict ultraviolet renormalizability across all energy scales. We derive the scale-suppressed primordial power spectrum and scale-dependent non-Gaussianity of primordial fluctuations induced by dual-field quantum interference, yielding precise amplitude deviations consistent with Planck CMB large-scale anomalies. We establish the unique nonlinear density- and velocity-dependent gravitational offset relations for merging galaxy clusters, fully reproducing observed lensing residuals without dark matter. A piecewise redshift-dependent equation of state for emergent dark energy is derived with a precise phase-transition redshift at z ≈ 0.35–0.45. In strong-gravity regimes, a finite curvature bound replaces classical black hole singularity, and measurable higher-order quantum phase corrections for gravitational waves during binary black hole coalescence are analytically calculated. Furthermore, dual-field inflationary interference generates three discrete mass windows for primordial black holes, naturally accounting for high-redshift supermassive black hole seed formation. All predictions provide explicit measurable ranges in wavenumber, redshift, mass scale, and observational deviation magnitude, enabling direct χ² fitting and parameter constraints using Planck, DESI, LIGO, and weak-lensing cluster data. Systematic comparison with mainstream paradigms demonstrates that the present framework uniquely realizes four-dimensional continuous spacetime, fully renormalizable quantum gravity, dark-matter-free dynamics, and complete experimentally verifiable cosmic signatures, establishing a new self-consistent and empirically testable fundamental physical paradigm.