Volume III: Cosmology and Global Dynamics of the R-layer

Abstract

Volume III develops the cosmological and global dynamical structure of the R-layer. We show that fluctuations of the mode field φ(x), together with twist, curvature, and tunneling interactions, generate primordial curvature perturbations and drive an inflation-like expansion. The framework predicts a nearly scale-invariant curvature spectrum, a multi-scale gravitational-wave background, and a dynamical origin for matter–antimatter asymmetry through AUP/MUP tunneling imbalance. Domain-wall networks naturally seed filamentary large-scale structure, providing a microscopic origin for the cosmic web. We further analyze the long-term decay of twist and curvature energy, showing that the universe evolves toward a smooth, information-poor asymptotic state. This volume establishes the cosmological implications of the R-layer and links its microscopic geometry to observable cosmic structure.

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