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This paper aims to verify the Kaelion correspondence equation relating Loop Quantum Gravity and holographic principles.

January 25, 2026Open Access

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

Key Points

This paper aims to verify the Kaelion correspondence equation relating Loop Quantum Gravity and holographic principles.
Experimental verification using IBM Quantum hardware
Data collection from 136+ data points
Analysis across quantum backends: ibm_fez, ibm_torino, ibm_marrakesh
Statistical analysis to determine significance
Confirmed formula: alpha(lambda) = -1/2 - lambda
Data spans lambda range: [0.006, 1.000]
Achieved statistical significance at p < 10^-10

Abstract

Kaelion Paper v3. 1 - Complete Package This paper presents the experimental verification of the Kaelion correspondence equation alpha (lambda) = -1/2 - lambda, which interpolates between Loop Quantum Gravity and holographic entropy formulations. CONTENTS Paper: - kaelionₚaperᵥ3. pdf - Main paper (peer-review ready) - kaelionₚaperᵥ3. tex - LaTeX source Code: - kaelionᵥerificationcomplete. py - Full verification script- generateₚaperfigures. py - Figure generation Figures: - kaelionᵥerificationcomplete. png - Main verification plot- kaelionₑxtendedᵥerification. png - Extended analysis- kaelionₚotential. png - V (lambda) potential visualization KEY RESULTS - Formula verified: alpha (lambda) = -1/2 - lambda- Data points: 136+ from IBM Quantum hardware- Backends: ibmfez, ibmₜorino, ibmₘarrakesh- Lambda range: 0. 006, 1. 000- Statistical significance: p < 10^-10 RELATED REPOSITORIES - Main framework: https: //github. com/AsesorErick/kaelion- Experimental data: https: //github. com/AsesorErick/kaelion-experiments- Theoretical derivation: https: //github. com/AsesorErick/kaelion-derivation

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