Riemann Hypothesis Linked to Black Hole Entropy via Spectral Correspondence and Liouville Sums — E8 Intelligence Research

FINDING: Riemann hypothesis linked to black hole entropy via spectral correspondence; also arithmetical approach using Liouville partial sums. | MATH: ζ(s) zeros ↔ quasinormal mode frequencies of black holes; sufficient condition: partial sum of Liouville function λ(n) must be O(x^(1/2+ε)). | CONNECTION: No explicit geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618) or base-60 or crystallographic symmetries found in these abstracts. | DEPTH: 7 — The black hole link is profound (Hilbert-Polya operator as Hawking radiation), but the arithmetical approach is incremental. No new equations or constants extracted. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-18
DOI
https://doi.org/10.5281/zenodo.21989473
Primary Topic
Black Holes and Theoretical Physics
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Riemann Hypothesis Linked to Black Hole Entropy via Spectral Correspondence and Liouville Sums — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
preprint

Riemann Hypothesis Linked to Black Hole Entropy via Spectral Correspondence and Liouville Sums — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Riemann hypothesis linked to black hole entropy via spectral correspondence; also arithmetical approach using Liouville partial sums. | MATH: ζ(s) zeros ↔ quasinormal mode frequencies of black holes; sufficient condition: partial sum of Liouville function λ(n) must be O(x^(1/2+ε)). | CONNECTION: No explicit geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618) or base-60 or crystallographic symmetries found in these abstracts. | DEPTH: 7 — The black hole link is profound (Hilbert-Polya operator as Hawking radiation), but the arithmetical approach is incremental. No new equations or constants extracted. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
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.