Cosmological Constant Solver V1.0.0

Holographic Resolution of the Hubble Tension: A Six-Dataset, First-Principles Determination of the Cosmological Constant from Galaxy Rotation Curves to the CMB Power Spectrum

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Author

Kevin Henry Miller
Founder and President, Q-Bond Network DeSCI DAO, LLC
965 Garnet Drive, Acworth, Georgia 30101, USA
✉ Kevin@qbondnetwork.com
🔗 ORCID: 0009-0007-7286-3373
📦 Zenodo: 10.5281/zenodo.18894022

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Overview

This repository contains the complete manuscript, supplementary information, figures, and analysis code for the paper submitted to Nature Astronomy (March 2026).

What this paper solves

The Hubble tension — a 4–6σ discrepancy between CMB-inferred H₀ ≈ 67 km/s/Mpc (Planck) and distance-ladder H₀ ≈ 73 km/s/Mpc (SH0ES) — is one of the most prominent open problems in cosmology.

This work:

1. Derives Λ from first principles via the Cohen–Kaplan–Nelson holographic UV–IR collapse bound. The derivation is a theorem with zero free parameters: ρ_crit/ρ_P = (3/8π)(l_P/r_H)² — explaining the notorious 10¹²² cosmological constant problem as a wrong degree-of-freedom counting (volume vs. surface).

2. Fits six independent datasets simultaneously across six orders of magnitude in physical scale, using a single open-source pipeline:

   Dataset	Points
   Pantheon+SH0ES Type Ia supernovae	1,701
   DES-SN5YR distance moduli	1,820
   DESI DR2 BAO measurements	12
   SPT-3G TT/TE/EE CMB bandpowers	196
   ACT DR6 TT/TE/EE CMB bandpowers	122
   SPARC galaxy rotation curves	175
   Total	3,851

3. Produces the result:

   • Λ = (1.117 ± 0.022) × 10⁻⁵² m⁻²
   • H₀ = 68.09 ± 0.50 km/s/Mpc
   • Ω_m = 0.3101 ± 0.0048
   • χ²/dof = 0.9662 across 3,851 data points

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Repository Structure

Cosmological_Constant_Solver_V1.0.0/
├── README.md                      ← this file
├── LICENSE                        ← MIT License
├── CITATION.cff                   ← machine-readable citation
├── CHANGELOG.md                   ← version history
├── CONTRIBUTORS.md                ← contributor list
├── .gitignore                     ← LaTeX/Python ignores
│
├── main_manuscript.tex            ← LaTeX source (Nature Astronomy format)
├── main_manuscript.pdf            ← compiled manuscript (17 pages)
│
├── supplementary_information.tex  ← LaTeX source for SI
├── supplementary_information.pdf  ← compiled SI (10 pages)
│
├── cover_letter.txt               ← cover letter to editors
├── submission_checklist.md        ← submission requirements
├── README_submission.md           ← compile instructions
│
└── figures/
    ├── make_all_figures.py        ← generates Figs 1, 3, 4
    ├── fig1_h0_comparison.pdf     ← H₀ comparison (6 probes)
    ├── fig2_corner_mcmc.pdf       ← 9-param MCMC corner plot
    ├── fig3_crossscale.pdf        ← cross-scale residuals
    └── fig4_lambda_stability.pdf  ← Λ stability v4→v9

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Quick Start

# Clone
git clone https://github.com/KevinHenryMiller/Cosmological_Constant_Solver_V1.0.0.git
cd Cosmological_Constant_Solver_V1.0.0

# Generate figures (requires numpy, matplotlib)
pip install numpy matplotlib scipy
python figures/make_all_figures.py

# Compile manuscript (requires LaTeX: MiKTeX or TeX Live)
pdflatex main_manuscript.tex
pdflatex main_manuscript.tex          # second pass for references

# Compile supplementary information
pdflatex supplementary_information.tex
pdflatex supplementary_information.tex

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Key Results

Parameter	Value	Dataset
Λ	(1.117 ± 0.022) × 10⁻⁵² m⁻²	Joint 6-dataset
H₀	68.09 ± 0.50 km/s/Mpc	Joint 6-dataset
Ω_m	0.3101 ± 0.0048	Joint 6-dataset
χ²/dof	0.9662	3,851 data points
ΔBIC vs holographic DE	+57.9	Decisive rejection

MCMC: 64 walkers × 600 steps, 50.67 GPU-hours on RunPod A100s.

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Ten Falsifiable Predictions

1. DESI Year-5 BAO will find H₀_eff = 68.0–68.5 km/s/Mpc
2. Euclid WL will measure Ω_m = 0.310 ± 0.002
3. Simons Observatory Nₑff constraint will rule out early dark energy at > 3σ
4. ACT DR7 H₀ will be ≤ 68.5 km/s/Mpc
5. JWST Cepheid re-calibration will lower SH0ES H₀ by ≥ 2 km/s/Mpc
6. Einstein Telescope will confirm GW H₀ = 68 ± 1 km/s/Mpc
7. SPT-3G final power spectra will confirm lens amplitude consistent with Planck
8. DESI Year-5 will find w = −1.000 ± 0.020 (no dark energy dynamics)
9. SPARC-II extensions will maintain RAR with scatter < 0.05 dex
10. Holographic dark energy (Li 2004) will remain disfavoured at ΔBIC > 50

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Citation

If you use this work, please cite:

@article{Miller2026HubbleTension,
  author       = {Miller, Kevin Henry},
  title        = {Holographic Resolution of the Hubble Tension: A Six-Dataset,
                  First-Principles Determination of the Cosmological Constant
                  from Galaxy Rotation Curves to the CMB Power Spectrum},
  journal      = {Nature Astronomy (submitted)},
  year         = {2026},
  month        = {March},
  doi          = {10.5281/zenodo.18894022},
  url          = {https://doi.org/10.5281/zenodo.18894022},
  note         = {Zenodo preprint v1.0.0},
  orcid        = {0009-0007-7286-3373},
}

Or use the CITATION.cff file for GitHub's "Cite this repository" button.

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License

Code: MIT License — © 2026 Kevin Henry Miller, Q-Bond Network DeSCI DAO, LLC
Manuscript text: CC-BY 4.0 — free to share with attribution

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Acknowledgements

This work used:

• IBM Quantum Platform (ibm_marrakesh, 887+ jobs)
• RunPod A100 GPUs (50.67 GPU-hours MCMC)
• Pantheon+, DES, DESI, SPT-3G, ACT, and SPARC public data releases
• emcee (Foreman-Mackey et al.), candl, getdist, astropy, numpy, scipy, matplotlib

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Submitted to Nature Astronomy, March 2026
© 2026 Kevin Henry Miller, Q-Bond Network DeSCI DAO, LLC