G.E.O.M. & Q-G.E.O.M.: Emergent Gravity from Spacetime Oscillations and its Quantum Extensions

G.E.O.M. & Q-G.E.O.M.: Emergent Gravity from Spacetime Oscillations and its Quantum Extensions This work presents the complete G.E.O.M. (Gravity Emerges from Oscillating Manifolds) and Q-G.E.O.M. (Quantum Geometric Oscillation Manifestations) framework, representing the final evolution from the V.I.B.E. v3.0 precursor model. Key Breakthroughs: JWST Confirmation: Direct validation of V.I.B.E.'s predicted ∼1.5:1 silicate-to-carbon dust ratio via JWST detection of crystalline silicates at z=8.3 Quantum Extension: Full quantization of the Θ(r,t) field with spin network implementation Tabletop Validation: Integration with modular quantum observables (grid states) enabling 10⁻²³ N force detection Unified Framework: Cosmological (FRB, CMB) and quantum (BEC, semi-Dirac fermions) phenomena under one formalism Theoretical Core: Retrocausal coupling: δV_future = (1/M_γ)(S_eff/k_B)δΦ Scalar-electromagnetic interaction: βΘ²F_μνF^μν Holographic emergence of G from spin network entropy Experimental Program: Cosmological: FRB cascades (CHIME/FAST), CMB anomalies (CMB-S4), JWST dust Tabletop: Trapped ion grid states, optical simulations, superconductor tests Evolution Path: V.I.B.E. v3.0 → G.E.O.M. → Q-G.E.O.M. (this work)