A Phenomenological Picard Horn Metric with Planckian Truncation: Resolving H0 Tension and SNe Ia High-z Residuals

We present a phenomenological metric ansatz embedded in a hyperbolic Picard horn topology H^3 / PSL(2, Z) modified by quantum spatial corrections. By introducing a sharp percolation transition boundary (dz = 0.0100) inspired by Loop Quantum Gravity (LQG) spin-network connectivity and an asymptotic Planckian cusp cut-off scale (z_cut ≈ 5.80), the model prevents exponential comoving distance divergence at high redshifts. Evaluating this metric against 1,590 Type Ia Supernovae from the full Pantheon+ covariance matrix yields a best-fit Hubble constant of H0 = 72.22 km/s/Mpc and total Chi2 = 1403.78, achieving strict observational parity with LambdaCDM (Delta_Chi2 = +0.08). Deriving z_cut from the LQG volume operator expectation value fixes the truncation scale theoretically, reducing free parameters to k=3 and eliminating the Bayesian information penalty. Full Python source code and analysis scripts are available on GitHub.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-15
DOI
https://doi.org/10.5281/zenodo.22761303
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
article

A Phenomenological Picard Horn Metric with Planckian Truncation: Resolving H0 Tension and SNe Ia High-z Residuals

Nhat Nguyen Huy
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
article

A Phenomenological Picard Horn Metric with Planckian Truncation: Resolving H0 Tension and SNe Ia High-z Residuals

Nhat Nguyen Huy
article en

Abstract

We present a phenomenological metric ansatz embedded in a hyperbolic Picard horn topology H^3 / PSL(2, Z) modified by quantum spatial corrections. By introducing a sharp percolation transition boundary (dz = 0.0100) inspired by Loop Quantum Gravity (LQG) spin-network connectivity and an asymptotic Planckian cusp cut-off scale (z_cut ≈ 5.80), the model prevents exponential comoving distance divergence at high redshifts. Evaluating this metric against 1,590 Type Ia Supernovae from the full Pantheon+ covariance matrix yields a best-fit Hubble constant of H0 = 72.22 km/s/Mpc and total Chi2 = 1403.78, achieving strict observational parity with LambdaCDM (Delta_Chi2 = +0.08). Deriving z_cut from the LQG volume operator expectation value fixes the truncation scale theoretically, reducing free parameters to k=3 and eliminating the Bayesian information penalty. Full Python source code and analysis scripts are available on GitHub.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 10%
Noncommutative and Quantum Gravity Theories
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.