Quantum-Gravitational Decoherence as the Origin of Primordial Perturbations: A Cyclic Cosmology from Exposed Singularities

We present Version 7.0 (merged archival edition) of a cosmological framework in which primordial perturbations originate from quantum-gravitational decoherence at Planck-scale Kerr remnants. This version consolidates, corrects, and closes the quantum-gravitational nucleation line published as Versions 2.0–6.0. Its central achievement is the definitive resolution of the 16% structural discrepancy reported in Version 6.0. Through an internal audit process, it is shown that the area factor 4/3 introduced in Version 5.0 was an explicit heuristic proxy that must be substituted — and never complemented — by the exact boundary-curvature ratio (\(IKerr/ISchw\)) once computed. By eliminating this double-counting bias, the geometric and kinematic sectors close self-consistently without any parameter tuning at a unique value of \(α^* = 2.739\), with an exact bounce energy scale of \(Bexact = 1/2φ̇_i^2 ≈ 0.427~M_P^4\). Additionally, this version resolves the 0.6% calibration anomaly in the KSW admissibility threshold, proving it was a rounding artifact from using \(rbounce = 7.3~_P\) instead of the precise value of \(7.26~_P\). At \(7.26~_P\), both the operator criterion and the geometric condition (\(r_i > r_E\)) coincide identically at \(αcrit = 3.1254\). Key Updates and Status of Open Fronts in V7.0: Refined Scalar Field Threshold: While the initial field value required for \(Neff = 60\) e-folds remains the framework's one open input, composing the corrected bounce energy with the maximal rotational energy extractable via the Penrose process lowers the required inflationary threshold from a conservative \(14.91~M_P\) to an estimated floor of \(≈ 14.3~M_P\). Unified Cosmological Observables: Primordial predictions are fully unified at exact slow-roll order without 1/N truncation, sharply fixing the observable set at \(n_s = 0.9678\), r = 0.00296, and a running of \(α_s = -5.23 × 10⁻⁴\). Pre-specified LQG Adjudication Protocol (Section 8): The framework submits a concrete, experiment-independent test to the Loop Quantum Gravity and spin-foam community. It fixes rigid zones in advance for an independent calculation of the holonomic contraction parameter \(α LQG\) derived from first-principles quantization of the Kerr interior: Quantitative Confirmation (\([2.55, 2.90]\)), Tension ((2.90, 3.125)), and Strict Falsification (≥ 3.125). The framework’s central predictions remain highly falsifiable. Upcoming cosmic microwave background (CMB) B-mode measurements from the LiteBIRD space mission will provide an immediate observational test: any definitive 5σ measurement yielding r > 0.0080 or r < 0.0010 completely excludes the model without any parameter tuning. External geometric support from the independent Burwig–Easson theorem (2026) regarding spatially closed FRW cosmologies is also integrated.