High-Energy Non-Trivial Riemann Zeta Zeros (n=18–21): An Extrapolation Approach via Multi-Resolution MERA Tensor Networks

This paper details the second phase (v2) of a computational study focusing on the extrapolation of the 18th to 21st non-trivial Riemann zeta zeros. Utilizing a Multi-scale Entanglement Renormalization Ansatz (MERA) architecture with a bond dimension of $\chi = 24$, the study demonstrates high-fidelity numerical convergence with a Mean Absolute Error (MAE) of $0.047296$. It provides the mathematical derivation of the Huber loss function, empirical results validating the stability of high-energy zero predictions, and historical continuity contextualizing these findings against the established baseline of zeros 1 through 17.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-13
DOI
https://doi.org/10.5281/zenodo.21911001
Primary Topic
Quantum many-body systems
Type
preprint
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preprint

High-Energy Non-Trivial Riemann Zeta Zeros (n=18–21): An Extrapolation Approach via Multi-Resolution MERA Tensor Networks

Juan Arroyo
Zenodo (CERN European Organization for Nuclear Research)
Quantum many-body systems
preprint

High-Energy Non-Trivial Riemann Zeta Zeros (n=18–21): An Extrapolation Approach via Multi-Resolution MERA Tensor Networks

Juan Arroyo
preprint en

Abstract

This paper details the second phase (v2) of a computational study focusing on the extrapolation of the 18th to 21st non-trivial Riemann zeta zeros. Utilizing a Multi-scale Entanglement Renormalization Ansatz (MERA) architecture with a bond dimension of $\chi = 24$, the study demonstrates high-fidelity numerical convergence with a Mean Absolute Error (MAE) of $0.047296$. It provides the mathematical derivation of the Huber loss function, empirical results validating the stability of high-energy zero predictions, and historical continuity contextualizing these findings against the established baseline of zeros 1 through 17.

Zenodo (CERN European Organization for Nuclear Research)
Affordable and clean energy
Quantum many-body systems
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High-Energy Non-Trivial Riemann Zeta Zeros (n=18–21): An Extrapolation Approach via Multi-Resolution MERA Tensor Networks — Juan Arroyo · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS