Black Hole Universe, Holographic Entropy, and the Dark Sector - Cosmological Signatures of Superfluid Vacuum
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Abstract
The standard ΛCDM model faces three fundamental tensions: the Cosmological Constant Problem (a 10^120 discrepancy), the elusive nature of Dark Matter, and the Hubble Tension (a 5σ disagreement). We present a unified framework resolving these by positing spacetime as an emergent topological phase of a Superfluid Vacuum.
Building on the q-theory framework of Makaryev (2026), we demonstrate that the observable Universe resides within a black hole event horizon. We acknowledge that R_H = R_S is a mathematical identity for flat universes in GR; however, we propose that the BHU topology provides the physical boundary condition that selects flatness (Ω_k = 0) without invoking inflation, transforming a tautology into a mechanism for vacuum state selection.
We rigorously derive the holographic scaling ρ_Λ ~ 1/S from thermodynamic principles, solving the Cosmological Constant Problem. Dark Matter is reinterpreted as the superfluid phase of the vacuum condensate, naturally reproducing MOND phenomenology. We provide quantitative predictions with error analysis for NANOGrav, cosmic anisotropy, CMB, BAO, and the Hubble Tension, showing how running spectral dimension d_S resolves the H0 discrepancy. We compare our framework with alternatives and provide detailed falsifiability criteria.
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