G.E.O.M. & Q.G.E.O.M.: Emergent Gravity from Spitetime Oscillations and Quantum Manifestations

This work presents Q-G.E.O.M. (Quantum Geometric Oscillation Manifestations), the quantum extension of G.E.O.M. (Gravity Emerges from Oscillating Manifolds; Delgado, 2025, DOI: 10.5281/zenodo.17218819 ). While G.E.O.M. explains key cosmological anomalies—Odd Radio Circles (ORCs) with near-perfect symmetry, fast radio burst (FRB) multiplets with cascade-like timing (r=0.73 , p<0.01 ), **CMB anisotropies** (>3σ excess at θ∼0.1∘ ), and chemically mature dust at z>8 (Si/C ∼1.5 )—as emergent from classical spacetime oscillations Θ(r,t) via the retrocausal relation δVfuture=γc2kBSeffδΦ, Q-G.E.O.M. quantizes this framework by embedding Θ into a Planck-scale spin network, where entanglement and geometric decoherence generate quantum-coherent gravity. Key advances include: A dimensionally consistent retrocausal equation: δVfuture=Mγ1kBSeffδΦ with Mγ∼mP , A holographic derivation of G with Immirzi parameter γI≈0.237 , Multi-scale coherence linking cosmological and laboratory physics via Θquantum=ξ(r)⋅Θcosmo , Falsifiable predictions: FRB periodicity Δtn,n+1=2π/(ckn) , JWST Si/C dust ratio = 1.2±0.1+0.3⋅δVfuture , SKA-detectable polarimetric oscillations (Δψ∈[0.1∘,1∘] ), BEC coherence and top-quark entanglement scaling with δVfuture . The model is explicitly falsifiable: a JWST observation of P(z)∼e−z (vs. predicted z−2.5 ), null SKA polarization signals, or absence of δV -dependent coherence in tabletop BEC experiments would refute the framework. A Python script is included to simulate cross-scale coherence. This document completes the rational evolution from V.I.B.E. v3.0 → G.E.O.M. → Q-G.E.O.M., establishing a unified, testable theory of emergent gravity—ready for validation by the 2027–2035 multi-messenger campaign. Signatures may emerge in diverse settings, from interferometric phase shifts to the cherubic live coherence observed on red couch analogues in quantum simulators.