Kaelion Paper v3.1: Experimental Verification of the LQG-Holography Correspondence

Overview

This package contains the complete paper and verification code for:

"Probing the LQG-Holography Transition via OTOC Measurements on Quantum Hardware"

Author: Erick Francisco Pérez Eugenio
ORCID: 0009-0006-3228-4847

The Kaelion Correspondence

The central result is the relationship:

α(λ) = -1/2 - λ

Where:

• λ ∈ [0,1] is the information accessibility parameter
• α is the logarithmic correction to black hole entropy
• λ = 0: LQG limit (α = -1/2)
• λ = 1: Holographic limit (α = -3/2)

Contents

File	Description
kaelion_paper_v3.pdf	Main paper (peer-review ready)
kaelion_paper_v3.tex	LaTeX source
kaelion_verification_complete.py	Full verification script
generate_paper_figures.py	Figure generation code
kaelion_verification_complete.png	Main verification plot
kaelion_extended_verification.png	Extended analysis
kaelion_potential.png	V(λ) potential visualization

Quick Start

# Clone the repository
git clone https://github.com/AsesorErick/kaelion-paper_v3.git
cd kaelion-paper_v3

# Install dependencies
pip install numpy matplotlib scipy qiskit qiskit-aer

# Run verification
python kaelion_verification_complete.py

Key Results

• Formula verified: α(λ) = -1/2 - λ
• Data points: 136+ from IBM Quantum hardware
• Backends: ibm_fez, ibm_torino, ibm_marrakesh
• Lambda range: [0.006, 1.000]
• Statistical significance: p < 10⁻¹⁰
• Hamiltonian families tested: 5

Constants (v3.0)

φ₀ = 1/√3 ≈ 0.5774    # Transition scale
V₀ = √3   ≈ 1.7321    # Potential scale
m_λ = ⁴√12 ≈ 1.8612   # Lambda field mass

# Fundamental invariant
V₀ × φ₀ = 1

Related Repositories

Repository	Description	DOI
kaelion	Main framework (25 modules)	10.5281/zenodo.18344067
kaelion-experiments	All experimental data (136+ points)	10.5281/zenodo.18354608
kaelion-derivation	Theoretical derivations	10.5281/zenodo.18345038
kaelion-formal	Formal verification	10.5281/zenodo.18345110

Citation

@article{perez2026kaelion,
  title={Probing the LQG-Holography Transition via OTOC Measurements on Quantum Hardware},
  author={Pérez Eugenio, Erick Francisco},
  year={2026},
  doi={10.5281/zenodo.18355180}
}

License

MIT License

Contact

• ORCID: 0009-0006-3228-4847
• GitHub: @AsesorErick