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Cosmological Implications: Information Topological Interpretation of Dark Energy, Dark Matter, and Inflation / 宇宙學應用:暗能量、暗物質與早期宇宙暴脹的資訊拓撲詮釋
Within the framework of Quantum Information Topology (QIT), this paper reformulates cosmological inflation, dark energy, and dark matter as emergent phenomena arising from non-Hermitian topological dynamics and network phase transitions. We demonstrate that early-universe inflation is driven by non-Hermitian phase condensation as the information network approaches Exceptional Points (EPs), causing a divergence in Berry curvature flux without requiring ad hoc scalar inflaton fields or fine-tuned potentials. Furthermore, dark energy is identified as the residual boundary topological entropy of the cosmological horizon, naturally yielding a small, non-zero vacuum energy baseline governed by the network's Euler characteristic ($\chi$). Concurrently, dark matter emerges as persistent topological defects and entanglement knots formed during topological smoothing, naturally explaining its gravitational-only interaction profile. By grounding cosmological parameters in background-independent topological invariants, Series VII_005 offers a self-consistent resolution to the naturalness and fine-tuning dilemmas in modern cosmology.
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