Geometric Annihilation and Cosmic Acceleration: Cosmological Signatures of Latent Geometric Regions

Abstract

We study coherent aggregates of orientation-reversed contributions to the volume operator in discrete quantum geometry. Using the Loop Quantum Gravity (LQG) volume operator as a concrete example, we identify sectors of the kinematical Hilbert space whose orientation-dependent contributions change sign, and interpret coherent domains dominated by such configurations as Latent Geometric Regions (LGRs). We develop an effective description in which cosmic expansion arises from a dynamical conversion of latent geometric capacity into positive-volume-dominated configurations, mediated by domain-wall-like structures. An Ising-like statistical model of vertex orientations describes the coarse-grained dynamics of LGRs, yielding modified Friedmann equations with a time-dependent contribution behaving like dark energy at the background level. The LGR framework, introduced separately as a conceptual proposal for pre-geometric capacity, is applied here to cosmology within LQG kinematics; LQG is used as a mathematical convenience, not a claim of uniqueness. We maintain a strict hierarchy of assumptions, distinguishing rigorous LQG kinematics from heuristic extrapolations and speculative cosmological mapping, and present the model as phenomenological rather than derived from quantum gravity. Numerical validation includes high-statistics Monte Carlo simulations confirming the stability bound x less than 0.5, domain-wall nucleation simulations linking microscopic flip rates to the cosmological conversion rate Gamma, and a 3D extension of the Ising dynamics confirming the phase transition is not an artifact of the 2D approximation. MCMC analysis using DESI DR2 BAO and Pantheon+ data yields Gamma0 = 0.52 +/- 0.07, x0 = 0.49 +/- 0.10, and Om0 = 0.37 +/- 0.02, with information criteria favoring LGR over Lambda-CDM on late-time data. A comparison with Planck 2018 CMB data confirms compatibility with early-universe observations, with the independently derived LGR prediction wa = 0.015 lying within 0.08 sigma of the Planck posterior. We stress that discrepancies between datasets, and between LGR and Lambda-CDM parameter spaces, indicate the regime of validity of an effective description rather than a failure of the framework or a claim of superiority over the standard model.

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