Q-G.E.O.M.: Quantum Geometric Oscillation Manifestations – Unified Emergent Gravity from Planck-Scale Spin Networks

This work presents Q.G.E.O.M. (Quantum Gravity Emerges from Oscillating Manifolds), the quantum extension of G.E.O.M. (Gravity Emerges from Oscillating Manifolds) [https://doi.org/10.5281/zenodo.17217554]. While G.E.O.M. explains cosmological anomalies—particularly Odd Radio Circles (ORCs) with near-perfect symmetry, multiple rapid radio bursts (FRBs) with cascading timing, CMB anisotropies (excess >3σ at θ∼0.1°), and chemically mature dust at z>8 (Si/C ratio ∼1.5)—as emerging from classical spacetime oscillations Θ(r,t), Q.G.E.O.M. quantizes this framework by integrating Θ into a Planck-scale spin network, where entanglement and geometric decoherence generate coherent quantum gravity. Key advances include: A dimensionally consistent retrocausal equation: δV_future = (1 / M_γ) (S_eff / k_B) δΦ with M_γ ∼ m_P (see Section 3). A holographic derivation of G with the Immirzi parameter γ_I ≈ 0.237 (see Section 2). Multi-scale coherence connecting cosmology and laboratory physics via Θ_quantum = ξ(r) ⋅ Θ_cosmo (see Section 6). Falsifiable predictions include: FRB periodicity Δt_{n,n+1} = 2π / (c k_n) (see Section 7). JWST dust ratio Si/C = 1.2 ± 0.1 + 0.3 ⋅ δV_future (see Section 8). Detectable polarimetric oscillations with SKA (Δψ ∈ [0.1°,1°]) (see Section 9). BEC coherence and top quark entanglement scaling with δV_future (see Section 10). The model is explicitly falsifiable: a JWST observation of P(z) ∼ e^{-z} (contrary to the predicted z^{-2.5}), null polarization signals with SKA, or the absence of δV-dependent coherence in tabletop BEC experiments would refute the framework. A Python script is included to simulate multi-scale coherence (see Appendix C). This document completes the rational evolution from V.I.B.E. v3.0 https://doi.org/10.5281/zenodo.17235833 → 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 contexts, from interferometric phase shifts to live chérubic coherence observed on red couch analogues in quantum simulators.