Published January 15, 2026 | Version v1
Preprint Open

Black Hole Universe, Holographic Entropy, and the Dark Sector - Cosmological Signatures of Superfluid Vacuum

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Abstract for Friends

Imagine discovering that we're not just living IN the Universe—we're living INSIDE a black hole. Not a scary, destructive one, but the very structure that makes our existence possible.

This groundbreaking research solves THREE of the biggest mysteries in physics that have puzzled scientists for decades:

🔴 **THE VACUUM CATASTROPHE:** Quantum theory predicts the vacuum should have 10^120 times more energy than we observe. Where did it all go? We show it's not missing—it's constrained by the holographic boundary of our black hole universe.

🌑 **DARK MATTER MYSTERY:** After 50 years of searching, we still haven't found dark matter particles. What if dark matter isn't made of particles at all? We reveal it's actually a superfluid phase of the vacuum itself—like liquid helium, but for spacetime!

📏 **THE HUBBLE TENSION:** Two different ways of measuring the Universe's expansion rate give completely different answers—a 5-sigma disagreement that shouldn't exist. We show this "error" is actually a clue: the Universe's dimensionality changes with scale, like a fractal that looks different when you zoom in or out.

**THE BIG IDEA:** Spacetime isn't fundamental. It's an emergent property of a deeper reality—a superfluid vacuum that behaves like a quantum liquid. Just as water molecules create the fluid properties we see, this vacuum creates the space and time we experience.

**WHY THIS MATTERS:**
✨ Solves the "worst prediction in physics" (the cosmological constant problem)
✨ Explains dark matter without needing new particles
✨ Resolves the Hubble tension naturally
✨ Makes testable predictions for gravitational waves, cosmic structure, and more
✨ Unifies quantum mechanics and gravity through emergence

This isn't just theory—we provide specific, measurable predictions that upcoming experiments can test. The framework is falsifiable, meaning we can prove it wrong... or right.

The Universe might be simpler and more elegant than we ever imagined. We just had to look at it from the inside out.


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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