The Mechanical Framework of Active Topological Spacetime: Resolving the CMB, Angular Momentum, and Time Dilation via Kinematic Impedance

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The standard cosmological model (ΛCDM) relies on inflationary parameters and hypothetical dark components to reconcile observations with General Relativity. This paper introduces a deterministic, parameter-free mechanical framework operating on the principles of active topological metrics and geometric elasticity. We model the universe as a bounded topological manifold initialized by a primordial axial singularity. By redefining the Big Bang as the radiation shockwave of a primordial boundary annihilation event between the segregating matter and antimatter domains, we derive the Cosmic Microwave Background (CMB) acoustic peaks as kinematic oscillations (Cosmic Bremsstrahlung) generated by the absolute spatial saturation limit. Furthermore, we trace galactic angular momentum to a primordial kinematic imprint. The Phantom Metric & Topological Spacetime - Complete Cosmological Framework: This manuscript is part of a comprehensive 8-part theoretical framework resolving dark matter, dark energy, and relativistic mechanics through macroscopic topological boundaries. The complete series includes: “The Phantom Metric: Resolving Dark Matter Anomalies in Galactic Kinematics, Strong Lensing, and Galaxy Clusters via Topological Constraints and Topological Metric Deformation (Parameter-Free)” DOI: 10.5281/zenodo.22859521 “The Duality of Topological Saturation: Phase Transitions, Manifold Expansion, and the Phantom Metric” DOI: 10.5281/zenodo.22750704 “Empirical Predictions of The Phantom Metric: Falsifying Dark Matter via High-Redshift Kinematics and Macroscopic Lensing” DOI: 10.5281/zenodo.22890604 “The Phantom Metric: Transient Non-Linear Damping and Phase Transition as a Complete Alternative to Cold Dark Matter” DOI: 10.5281/zenodo.23131615 “Topological Spacetime Cosmology: Resolving the Vacuum Catastrophe, the Hubble Tension, the Dark Energy Enigma, and Deriving the Absolute Baryonic Mass of the Universe via Entropic Metric Dilation” DOI: 10.5281/zenodo.22995959 “The Genesis of Relativistic Mechanics: Time, the Speed of Light, and Gravity as Emergent Properties of Baryonic Impedance on the Planck Frequency” DOI: 10.5281/zenodo.23041408 “Empirical Predictions of Topological Spacetime Cosmology: Void Expansion Dynamics and Metric Anisotropy” DOI: 10.5281/zenodo.22997116 “The Mechanical Framework of Active Topological Spacetime: Resolving the CMB, Angular Momentum, and Time Dilation via Kinematic Impedance” DOI: 10.5281/zenodo.23210301