V.I.B.E. v3.0 to G.E.O.M.: The Rational Evolution of Oscillating Space-Time

This document tracks the evolution from \textbf{V.I.B.E. v3.0}—a model where dark matter halos emerge from stationary scalar waves P=P0j0(kr)P = P_0 j_0(kr)P = P_0 j_0(kr) —to \textbf{G.E.O.M.} (Gravity Emerges from Oscillating Manifolds), a retrocausal theory that frames gravity not as a fundamental force, but as a property born from the oscillations of the space-time manifold. This framework hinges on a clear coupling: δVfuture=γkBc2Seff δΦ,\delta V_{\text{future}} = \gamma \frac{k_B}{c^2} S_{\text{eff}} \, \delta\Phi,\delta V_{\text{future}} = \gamma \frac{k_B}{c^2} S_{\text{eff}} \, \delta\Phi, linking future effective entropy SeffS_{\text{eff}}S_{\text{eff}} to past scalar field fluctuations δΦ\delta\Phi\delta\Phi .G.E.O.M. ties together cosmological puzzles that Λ\Lambda\Lambda CDM struggles to explain: Odd Radio Circles (ORCs) with near-perfect symmetry, fast radio bursts (FRB) showing cascade-like temporal structures, cosmic microwave background (CMB) anisotropies with a consistent >3σ> 3\sigma> 3\sigma excess, chemically mature dust in galaxies at z>8z > 8z > 8 observed by JWST. These fit into a falsifiable framework, backed by preliminary results: a 0.73 correlation ( p<0.01p < 0.01p < 0.01 ) in simulated FRB multiplets, a >3σ> 3\sigma> 3\sigma excess in synthetic CMB maps. JWST spectra for z=8–12z = 8–12z = 8–12 are in progress, aiming to confirm predicted ratios (silicate/carbon ∼1.5\sim 1.5\sim 1.5 ).G.E.O.M.’s modular design lays the groundwork for standalone studies in cosmology, astrophysics, and gravity foundations. A multi-messenger observation campaign is set for 2027–2035, including: radio (CHIME/FAST) for FRB cascades, microwaves (CMB-S4) for large-scale anisotropies, infrared (JWST) for high-redshift dust spectroscopy. “Space-time was once seen as passive, shaped by masses; now, space-time is active, generating masses.”This project isn’t a closed theory, but a raw call to the global scientific community: collaborate, test, refine—or debunk—this vision of a cosmos where space-time oscillates and the future echoes into the past.